Cantore Arithmetic is able to state that if you are a Sinner your culmination of known information on all sin is now in addition, you have violated The Moon.
"Overview. Earth's Moon is the brightest and largest object in our night sky. The Moon makes Earth a more livable planet by moderating our home planet's wobble on its axis, leading to a relatively stable climate. It also causes tides, creating a rhythm that has guided humans for thousands of years" as per NASA’s state view.
Word state equated word View as the findings of the concern for those of whom are born a sin. In Cantore Arithmetic that has not yet to be approached as the proof is the admission otherwise you are born a word tooth. Word long in the tooth is a term for a horse, and the Veterinarian is the one who floats teeth.
Addendum: With word harp the post equated at word harp, and the verse in Psalms with word psalm equated Pain.
You searched for
"IF" in the KJV Bible
1,420 Instances - Page 1 of 48 - Sort by Book Order - Feedback
- Genesis 4:7chapter context similar meaning copy save
- If thou doest well, shalt thou not be accepted? and if thou doest not well, sin lieth at the door. And unto thee shall be his desire, and thou shalt rule over him.
- Genesis 4:24chapter context similar meaning copy save
- If Cain shall be avenged sevenfold, truly Lamech seventy and sevenfold.
- Genesis 8:8chapter context similar meaning copy save
- Also he sent forth a dove from him, to see if the waters were abated from off the face of the ground;
- Genesis 13:9chapter context similar meaning copy save
- Is not the whole land before thee? separate thyself, I pray thee, from me: if thou wilt take the left hand, then I will go to the right; or if thou depart to the right hand, then I will go to the left.
- Genesis 13:16chapter context similar meaning copy save
- And I will make thy seed as the dust of the earth: so that if a man can number the dust of the earth, then shall thy seed also be numbered.
- Genesis 15:5chapter context similar meaning copy save
- And he brought him forth abroad, and said, Look now toward heaven, and tell the stars, if thou be able to number them: and he said unto him, So shall thy seed be.
- Genesis 18:3chapter context similar meaning copy save
- And said, My Lord, if now I have found favour in thy sight, pass not away, I pray thee, from thy servant:
- Genesis 18:21chapter context similar meaning copy save
- I will go down now, and see whether they have done altogether according to the cry of it, which is come unto me; and if not, I will know.
- Genesis 18:26chapter context similar meaning copy save
- And the LORD said, If I find in Sodom fifty righteous within the city, then I will spare all the place for their sakes.
- Genesis 18:28chapter context similar meaning copy save
- Peradventure there shall lack five of the fifty righteous: wilt thou destroy all the city for lack of five? And he said, If I find there forty and five, I will not destroy it.
- Genesis 18:30chapter context similar meaning copy save
- And he said unto him, Oh let not the Lord be angry, and I will speak: Peradventure there shall thirty be found there. And he said, I will not do it, if I find thirty there.
- Genesis 20:7chapter context similar meaning copy save
- Now therefore restore the man his wife; for he is a prophet, and he shall pray for thee, and thou shalt live: and if thou restore her not, know thou that thou shalt surely die, thou, and all that are thine.
- Genesis 23:8chapter context similar meaning copy save
- And he communed with them, saying, If it be your mind that I should bury my dead out of my sight; hear me, and intreat for me to Ephron the son of Zohar,
- Genesis 23:13chapter context similar meaning copy save
- And he spake unto Ephron in the audience of the people of the land, saying, But ifthou wilt give it, I pray thee, hear me: I will give thee money for the field; take it of me, and I will bury my dead there.
- Genesis 24:8chapter context similar meaning copy save
- And if the woman will not be willing to follow thee, then thou shalt be clear from this my oath: only bring not my son thither again.
- Genesis 24:41chapter context similar meaning copy save
- Then shalt thou be clear from this my oath, when thou comest to my kindred; and ifthey give not thee one, thou shalt be clear from my oath.
- Genesis 24:42chapter context similar meaning copy save
- And I came this day unto the well, and said, O LORD God of my master Abraham, ifnow thou do prosper my way which I go:
- Genesis 24:49chapter context similar meaning copy save
- And now if ye will deal kindly and truly with my master, tell me: and if not, tell me; that I may turn to the right hand, or to the left.
- Genesis 25:22chapter context similar meaning copy save
- And the children struggled together within her; and she said, If it be so, why am I thus? And she went to enquire of the LORD.
- Genesis 27:46chapter context similar meaning copy save
- And Rebekah said to Isaac, I am weary of my life because of the daughters of Heth: if Jacob take a wife of the daughters of Heth, such as these which are of the daughters of the land, what good shall my life do me?
- Genesis 28:20chapter context similar meaning copy save
- And Jacob vowed a vow, saying, If God will be with me, and will keep me in this way that I go, and will give me bread to eat, and raiment to put on,
- Genesis 30:27chapter context similar meaning copy save
- And Laban said unto him, I pray thee, if I have found favour in thine eyes, tarry: for I have learned by experience that the LORD hath blessed me for thy sake.
- Genesis 30:31chapter context similar meaning copy save
- And he said, What shall I give thee? And Jacob said, Thou shalt not give me any thing: if thou wilt do this thing for me, I will again feed and keep thy flock:
- Genesis 31:8chapter context similar meaning copy save
- If he said thus, The speckled shall be thy wages; then all the cattle bare speckled: and if he said thus, The ringstraked shall be thy hire; then bare all the cattle ringstraked.
- Genesis 31:50chapter context similar meaning copy save
- If thou shalt afflict my daughters, or if thou shalt take other wives beside my daughters, no man is with us; see, God is witness betwixt me and thee.
- Genesis 32:8chapter context similar meaning copy save
- And said, If Esau come to the one company, and smite it, then the other company which is left shall escape.
- Genesis 33:10chapter context similar meaning copy save
- And Jacob said, Nay, I pray thee, if now I have found grace in thy sight, then receive my present at my hand: for therefore I have seen thy face, as though I had seen the face of God, and thou wast pleased with me.
- Genesis 33:13chapter context similar meaning copy save
- And he said unto him, My lord knoweth that the children are tender, and the flocks and herds with young are with me: and if men should overdrive them one day, all the flock will die.
- Genesis 34:15chapter context similar meaning copy save
- But in this will we consent unto you: If ye will be as we be, that every male of you be circumcised;
- Genesis 34:17chapter context similar meaning copy save
- But if ye will not hearken unto us, to be circumcised; then will we take our daughter, and we will be gone.
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You searched for
"TEETH" in the KJV Bible
45 Instances - Page 1 of 2 - Sort by Book Order - Feedback
- Joel 1:6chapter context similar meaning copy save
- For a nation is come up upon my land, strong, and without number, whose teeth are the teeth of a lion, and he hath the cheek teeth of a great lion.
- Psalms 58:6chapter context similar meaning copy save
- Break their teeth, O God, in their mouth: break out the great teeth of the young lions, O LORD.
- Proverbs 30:14chapter context similar meaning copy save
- There is a generation, whose teeth are as swords, and their jaw teeth as knives, to devour the poor from off the earth, and the needy from among men.
- Revelation 9:8chapter context similar meaning copy save
- And they had hair as the hair of women, and their teeth were as the teeth of lions.
- Job 13:14chapter context similar meaning copy save
- Wherefore do I take my flesh in my teeth, and put my life in mine hand?
- Psalms 124:6chapter context similar meaning copy save
- Blessed be the LORD, who hath not given us as a prey to their teeth.
- Psalms 35:16chapter context similar meaning copy save
- With hypocritical mockers in feasts, they gnashed upon me with their teeth.
- Psalms 37:12chapter context similar meaning copy save
- The wicked plotteth against the just, and gnasheth upon him with his teeth.
- Job 41:14chapter context similar meaning copy save
- Who can open the doors of his face? his teeth are terrible round about.
- Matthew 27:44chapter context similar meaning copy save
- The thieves also, which were crucified with him, cast the same in his teeth.
- Matthew 25:30chapter context similar meaning copy save
- And cast ye the unprofitable servant into outer darkness: there shall be weeping and gnashing of teeth.
- Proverbs 10:26chapter context similar meaning copy save
- As vinegar to the teeth, and as smoke to the eyes, so is the sluggard to them that send him.
- Jeremiah 31:29chapter context similar meaning copy save
- In those days they shall say no more, The fathers have eaten a sour grape, and the children's teeth are set on edge.
- Acts 7:54chapter context similar meaning copy save
- When they heard these things, they were cut to the heart, and they gnashed on him with their teeth.
- Matthew 13:42chapter context similar meaning copy save
- And shall cast them into a furnace of fire: there shall be wailing and gnashing of teeth.
- Matthew 13:50chapter context similar meaning copy save
- And shall cast them into the furnace of fire: there shall be wailing and gnashing of teeth.
- Genesis 49:12chapter context similar meaning copy save
- His eyes shall be red with wine, and his teeth white with milk.
- Song of Solomon 6:6chapter context similar meaning copy save
- Thy teeth are as a flock of sheep which go up from the washing, whereof every one beareth twins, and there is not one barren among them.
- Lamentations 3:16chapter context similar meaning copy save
- He hath also broken my teeth with gravel stones, he hath covered me with ashes.
- Job 19:20chapter context similar meaning copy save
- My bone cleaveth to my skin and to my flesh, and I am escaped with the skin of my teeth.
- Matthew 8:12chapter context similar meaning copy save
- But the children of the kingdom shall be cast out into outer darkness: there shall be weeping and gnashing of teeth.
- Job 16:9chapter context similar meaning copy save
- He teareth me in his wrath, who hateth me: he gnasheth upon me with his teeth; mine enemy sharpeneth his eyes upon me.
- Song of Solomon 4:2chapter context similar meaning copy save
- Thy teeth are like a flock of sheep that are even shorn, which came up from the washing; whereof every one bear twins, and none is barren among them.
- Job 29:17chapter context similar meaning copy save
- And I brake the jaws of the wicked, and plucked the spoil out of his teeth.
- Ezekiel 18:2chapter context similar meaning copy save
- What mean ye, that ye use this proverb concerning the land of Israel, saying, The fathers have eaten sour grapes, and the children's teeth are set on edge?
- Jeremiah 31:30chapter context similar meaning copy save
- But every one shall die for his own iniquity: every man that eateth the sour grape, his teeth shall be set on edge.
- Matthew 24:51chapter context similar meaning copy save
- And shall cut him asunder, and appoint him his portion with the hypocrites: there shall be weeping and gnashing of teeth.
- Psalms 3:7chapter context similar meaning copy save
- Arise, O LORD; save me, O my God: for thou hast smitten all mine enemies upon the cheek bone; thou hast broken the teeth of the ungodly.
- Amos 4:6chapter context similar meaning copy save
- And I also have given you cleanness of teeth in all your cities, and want of bread in all your places: yet have ye not returned unto me, saith the LORD.
- Daniel 7:5chapter context similar meaning copy save
- And behold another beast, a second, like to a bear, and it raised up itself on one side, and it had three ribs in the mouth of it between the teeth of it: and they said thus unto it, Arise, devour much flesh.
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You searched for
"FLOATS" in the KJV Bible
2 Instances - Page 1 of 1 - Sort by Book Order - Feedback
- 2 Chronicles 2:16chapter context similar meaning copy save
- And we will cut wood out of Lebanon, as much as thou shalt need: and we will bring it to thee in floats by sea to Joppa; and thou shalt carry it up to Jerusalem.
- 1 Kings 5:9chapter context similar meaning copy save
- My servants shall bring them down from Lebanon unto the sea: and I will convey them by sea in floats unto the place that thou shalt appoint me, and will cause them to be discharged there, and thou shalt receive them: and thou shalt accomplish my desire, in giving food for my household.
You searched for
"TOOTH" in the KJV Bible
6 Instances - Page 1 of 1 - Sort by Book Order - Feedback
- Exodus 21:27chapter context similar meaning copy save
- And if he smite out his manservant's tooth, or his maidservant's tooth; he shall let him go free for his tooth's sake.
- Matthew 5:38chapter context similar meaning copy save
- Ye have heard that it hath been said, An eye for an eye, and a tooth for a tooth:
- Leviticus 24:20chapter context similar meaning copy save
- Breach for breach, eye for eye, tooth for tooth: as he hath caused a blemish in a man, so shall it be done to him again.
- Deuteronomy 19:21chapter context similar meaning copy save
- And thine eye shall not pity; but life shall go for life, eye for eye, tooth for tooth, hand for hand, foot for foot.
- Proverbs 25:19chapter context similar meaning copy save
- Confidence in an unfaithful man in time of trouble is like a broken tooth, and a foot out of joint.
- Exodus 21:24chapter context similar meaning copy save
- Eye for eye, tooth for tooth, hand for hand, foot for foot,
You searched for
"STATE" in the KJV Bible
14 Instances - Page 1 of 1 - Sort by Book Order - Feedback
- Philippians 4:11chapter context similar meaning copy save
- Not that I speak in respect of want: for I have learned, in whatsoever state I am, therewith to be content.
- Philippians 2:20chapter context similar meaning copy save
- For I have no man likeminded, who will naturally care for your state.
- Proverbs 27:23chapter context similar meaning copy save
- Be thou diligent to know the state of thy flocks, and look well to thy herds.
- Philippians 2:19chapter context similar meaning copy save
- But I trust in the Lord Jesus to send Timotheus shortly unto you, that I also may be of good comfort, when I know your state.
- Colossians 4:7chapter context similar meaning copy save
- All my state shall Tychicus declare unto you, who is a beloved brother, and a faithful minister and fellowservant in the Lord:
- Psalms 39:5chapter context similar meaning copy save
- Behold, thou hast made my days as an handbreadth; and mine age is as nothing before thee: verily every man at his best state is altogether vanity. Selah.
- Proverbs 28:2chapter context similar meaning copy save
- For the transgression of a land many are the princes thereof: but by a man of understanding and knowledge the state thereof shall be prolonged.
- 2 Chronicles 24:13chapter context similar meaning copy save
- So the workmen wrought, and the work was perfected by them, and they set the house of God in his state, and strengthened it.
- Esther 1:7chapter context similar meaning copy save
- And they gave them drink in vessels of gold, (the vessels being diverse one from another,) and royal wine in abundance, according to the state of the king.
- Isaiah 22:19chapter context similar meaning copy save
- And I will drive thee from thy station, and from thy state shall he pull thee down.
- Luke 11:26chapter context similar meaning copy save
- Then goeth he, and taketh to him seven other spirits more wicked than himself; and they enter in, and dwell there: and the last state of that man is worse than the first.
- Matthew 12:45chapter context similar meaning copy save
- Then goeth he, and taketh with himself seven other spirits more wicked than himself, and they enter in and dwell there: and the last state of that man is worse than the first. Even so shall it be also unto this wicked generation.
- Genesis 43:7chapter context similar meaning copy save
- And they said, The man asked us straitly of our state, and of our kindred, saying, Is your father yet alive? have ye another brother? and we told him according to the tenor of these words: could we certainly know that he would say, Bring your brother down?
- Esther 2:18chapter context similar meaning copy save
- Then the king made a great feast unto all his princes and his servants, even Esther's feast; and he made a release to the provinces, and gave gifts, according to the stateof the king.
Quark
Composition | elementary particle |
---|---|
Statistics | fermionic |
Generation | 1st, 2nd, 3rd |
Interactions | strong, weak, electromagnetic, gravitation |
Symbol | q |
Antiparticle | antiquark ( q ) |
Theorized |
|
Discovered | SLAC (c. 1968) |
Types | 6 (up, down, strange, charm, bottom, and top) |
Electric charge | +23 e, −13 e |
Color charge | yes |
Spin | 12 ħ |
Baryon number | 13 |
A quark (/kwɔːrk, kwɑːrk/) is a type of elementary particle and a fundamental constituent of matter. Quarks combine to form composite particles called hadrons, the most stable of which are protons and neutrons, the components of atomic nuclei.[1] All commonly observable matter is composed of up quarks, down quarks and electrons. Owing to a phenomenon known as color confinement, quarks are never found in isolation; they can be found only within hadrons, which include baryons (such as protons and neutrons) and mesons, or in quark–gluon plasmas.[2][3][nb 1] For this reason, much of what is known about quarks has been drawn from observations of hadrons.
Quarks have various intrinsic properties, including electric charge, mass, color charge, and spin. They are the only elementary particles in the Standard Model of particle physics to experience all four fundamental interactions, also known as fundamental forces (electromagnetism, gravitation, strong interaction, and weak interaction), as well as the only known particles whose electric charges are not integer multiples of the elementary charge.
There are six types, known as flavors, of quarks: up, down, charm, strange, top, and bottom.[4] Up and down quarks have the lowest masses of all quarks. The heavier quarks rapidly change into up and down quarks through a process of particle decay: the transformation from a higher mass state to a lower mass state. Because of this, up and down quarks are generally stable and the most common in the universe, whereas strange, charm, bottom, and top quarks can only be produced in high energy collisions (such as those involving cosmic rays and in particle accelerators). For every quark flavor there is a corresponding type of antiparticle, known as an antiquark, that differs from the quark only in that some of its properties (such as the electric charge) have equal magnitude but opposite sign.
The quark model was independently proposed by physicists Murray Gell-Mann and George Zweig in 1964.[5] Quarks were introduced as parts of an ordering scheme for hadrons, and there was little evidence for their physical existence until deep inelastic scattering experiments at the Stanford Linear Accelerator Center in 1968.[6][7] Accelerator program experiments have provided evidence for all six flavors. The top quark, first observed at Fermilab in 1995, was the last to be discovered.[5]
Classification[edit]
The Standard Model is the theoretical framework describing all the known elementary particles. This model contains six flavors of quarks (
q
), named up (
u
), down (
d
), strange (
s
), charm (
c
), bottom (
b
), and top (
t
).[4]Antiparticles of quarks are called antiquarks, and are denoted by a bar over the symbol for the corresponding quark, such as
u
for an up antiquark. As with antimatter in general, antiquarks have the same mass, mean lifetime, and spin as their respective quarks, but the electric charge and other charges have the opposite sign.[8]
Quarks are spin-12 particles, which means they are fermions according to the spin–statistics theorem. They are subject to the Pauli exclusion principle, which states that no two identical fermions can simultaneously occupy the same quantum state. This is in contrast to bosons (particles with integer spin), of which any number can be in the same state.[9] Unlike leptons, quarks possess color charge, which causes them to engage in the strong interaction. The resulting attraction between different quarks causes the formation of composite particles known as hadrons (see "Strong interaction and color charge" below).
The quarks that determine the quantum numbers of hadrons are called valence quarks; apart from these, any hadron may contain an indefinite number of virtual"sea" quarks, antiquarks, and gluons, which do not influence its quantum numbers.[10] There are two families of hadrons: baryons, with three valence quarks, and mesons, with a valence quark and an antiquark.[11] The most common baryons are the proton and the neutron, the building blocks of the atomic nucleus.[12] A great number of hadrons are known (see list of baryons and list of mesons), most of them differentiated by their quark content and the properties these constituent quarks confer. The existence of "exotic" hadrons with more valence quarks, such as tetraquarks (
q
q
q
q
) and pentaquarks (
q
q
q
q
q
), was conjectured from the beginnings of the quark model[13] but not discovered until the early 21st century.[14][15][16][17]
Elementary fermions are grouped into three generations, each comprising two leptons and two quarks. The first generation includes up and down quarks, the second strange and charm quarks, and the third bottom and top quarks. All searches for a fourth generation of quarks and other elementary fermions have failed,[18][19] and there is strong indirect evidence that no more than three generations exist.[nb 2][20][21][22] Particles in higher generations generally have greater mass and less stability, causing them to decay into lower-generation particles by means of weak interactions. Only first-generation (up and down) quarks occur commonly in nature. Heavier quarks can only be created in high-energy collisions (such as in those involving cosmic rays), and decay quickly; however, they are thought to have been present during the first fractions of a second after the Big Bang, when the universe was in an extremely hot and dense phase (the quark epoch). Studies of heavier quarks are conducted in artificially created conditions, such as in particle accelerators.[23]
Having electric charge, mass, color charge, and flavor, quarks are the only known elementary particles that engage in all four fundamental interactions of contemporary physics: electromagnetism, gravitation, strong interaction, and weak interaction.[12] Gravitation is too weak to be relevant to individual particle interactions except at extremes of energy (Planck energy) and distance scales (Planck distance). However, since no successful quantum theory of gravity exists, gravitation is not described by the Standard Model.
See the table of properties below for a more complete overview of the six quark flavors' properties.
History[edit]
The quark model was independently proposed by physicists Murray Gell-Mann[24] and George Zweig[25][26] in 1964.[5] The proposal came shortly after Gell-Mann's 1961 formulation of a particle classification system known as the Eightfold Way – or, in more technical terms, SU(3) flavor symmetry, streamlining its structure.[27] Physicist Yuval Ne'eman had independently developed a scheme similar to the Eightfold Way in the same year.[28][29] An early attempt at constituent organization was available in the Sakata model.
At the time of the quark theory's inception, the "particle zoo" included a multitude of hadrons, among other particles. Gell-Mann and Zweig posited that they were not elementary particles, but were instead composed of combinations of quarks and antiquarks. Their model involved three flavors of quarks, up, down, and strange, to which they ascribed properties such as spin and electric charge.[24][25][26] The initial reaction of the physics community to the proposal was mixed. There was particular contention about whether the quark was a physical entity or a mere abstraction used to explain concepts that were not fully understood at the time.[30]
In less than a year, extensions to the Gell-Mann–Zweig model were proposed. Sheldon Glashow and James Bjorken predicted the existence of a fourth flavor of quark, which they called charm. The addition was proposed because it allowed for a better description of the weak interaction (the mechanism that allows quarks to decay), equalized the number of known quarks with the number of known leptons, and implied a mass formula that correctly reproduced the masses of the known mesons.[31]
Deep inelastic scattering experiments conducted in 1968 at the Stanford Linear Accelerator Center (SLAC) and published on October 20, 1969, showed that the proton contained much smaller, point-like objects and was therefore not an elementary particle.[6][7][32] Physicists were reluctant to firmly identify these objects with quarks at the time, instead calling them "partons" – a term coined by Richard Feynman.[33][34][35] The objects that were observed at SLAC would later be identified as up and down quarks as the other flavors were discovered.[36] Nevertheless, "parton" remains in use as a collective term for the constituents of hadrons (quarks, antiquarks, and gluons). Richard Taylor, Henry Kendall and Jerome Friedman received the 1990 Nobel Prize in physics for their work at SLAC.
The strange quark's existence was indirectly validated by SLAC's scattering experiments: not only was it a necessary component of Gell-Mann and Zweig's three-quark model, but it provided an explanation for the kaon (
K
) and pion (
π
) hadrons discovered in cosmic rays in 1947.[37]
In a 1970 paper, Glashow, John Iliopoulos and Luciano Maiani presented the GIM mechanism (named from their initials) to explain the experimental non-observation of flavor-changing neutral currents. This theoretical model required the existence of the as-yet undiscovered charm quark.[38][39] The number of supposed quark flavors grew to the current six in 1973, when Makoto Kobayashi and Toshihide Maskawa noted that the experimental observation of CP violation[nb 3][40] could be explained if there were another pair of quarks.
Charm quarks were produced almost simultaneously by two teams in November 1974 (see November Revolution) – one at SLAC under Burton Richter, and one at Brookhaven National Laboratory under Samuel Ting. The charm quarks were observed bound with charm antiquarks in mesons. The two parties had assigned the discovered meson two different symbols, J and ψ; thus, it became formally known as the
J/ψ
meson. The discovery finally convinced the physics community of the quark model's validity.[35]
In the following years a number of suggestions appeared for extending the quark model to six quarks. Of these, the 1975 paper by Haim Harari[41] was the first to coin the terms top and bottom for the additional quarks.[42]
In 1977, the bottom quark was observed by a team at Fermilab led by Leon Lederman.[43][44] This was a strong indicator of the top quark's existence: without the top quark, the bottom quark would have been without a partner. It was not until 1995 that the top quark was finally observed, also by the CDF[45] and DØ[46] teams at Fermilab.[5] It had a mass much larger than expected,[47] almost as large as that of a gold atom.[48]
Etymology[edit]
For some time, Gell-Mann was undecided on an actual spelling for the term he intended to coin, until he found the word quark in James Joyce's 1939 book Finnegans Wake:[49]
The word quark is an outdated English word meaning to croak[50] and the above-quoted lines are about a bird choir mocking king Mark of Cornwall in the legend of Tristan and Iseult.[51] Especially in the German-speaking parts of the world there is a widespread legend, however, that Joyce had taken it from the word Quark,[52] a German word of Slavic origin which denotes a curd cheese,[53] but is also a colloquial term for "trivial nonsense".[54] In the legend it is said that he had heard it on a journey to Germany at a farmers' market in Freiburg.[55][56] Some authors, however, defend a possible German origin of Joyce's word quark.[57] Gell-Mann went into further detail regarding the name of the quark in his 1994 book The Quark and the Jaguar:[58]
Zweig preferred the name ace for the particle he had theorized, but Gell-Mann's terminology came to prominence once the quark model had been commonly accepted.[59]
The quark flavors were given their names for several reasons. The up and down quarks are named after the up and down components of isospin, which they carry.[60] Strange quarks were given their name because they were discovered to be components of the strange particles discovered in cosmic rays years before the quark model was proposed; these particles were deemed "strange" because they had unusually long lifetimes.[61] Glashow, who co-proposed the charm quark with Bjorken, is quoted as saying, "We called our construct the 'charmed quark', for we were fascinated and pleased by the symmetry it brought to the subnuclear world."[62] The names "bottom" and "top", coined by Harari, were chosen because they are "logical partners for up and down quarks".[41][42][61] Alternative names for bottom and top quarks are "beauty" and "truth" respectively,[nb 4] but these names have somewhat fallen out of use.[66] While "truth" never did catch on, accelerator complexes devoted to massive production of bottom quarks are sometimes called "beauty factories".[67]
Properties[edit]
Electric charge[edit]
Quarks have fractional electric charge values – either (−13) or (+23) times the elementary charge (e), depending on flavor. Up, charm, and top quarks (collectively referred to as up-type quarks) have a charge of +23 e; down, strange, and bottom quarks (down-type quarks) have a charge of −13 e. Antiquarks have the opposite charge to their corresponding quarks; up-type antiquarks have charges of −23 e and down-type antiquarks have charges of +13 e. Since the electric charge of a hadron is the sum of the charges of the constituent quarks, all hadrons have integer charges: the combination of three quarks (baryons), three antiquarks (antibaryons), or a quark and an antiquark (mesons) always results in integer charges.[68] For example, the hadron constituents of atomic nuclei, neutrons and protons, have charges of 0 e and +1 e respectively; the neutron is composed of two down quarks and one up quark, and the proton of two up quarks and one down quark.[12]
Spin[edit]
Spin is an intrinsic property of elementary particles, and its direction is an important degree of freedom. It is sometimes visualized as the rotation of an object around its own axis (hence the name "spin"), though this notion is somewhat misguided at subatomic scales because elementary particles are believed to be point-like.[69]
Spin can be represented by a vector whose length is measured in units of the reduced Planck constant ħ (pronounced "h bar"). For quarks, a measurement of the spin vector component along any axis can only yield the values +ħ2 or −ħ2; for this reason quarks are classified as spin-12 particles.[70]The component of spin along a given axis – by convention the z axis – is often denoted by an up arrow ↑ for the value +12 and down arrow ↓ for the value −12, placed after the symbol for flavor. For example, an up quark with a spin of +12 along the z axis is denoted by u↑.[71]
Weak interaction[edit]
A quark of one flavor can transform into a quark of another flavor only through the weak interaction, one of the four fundamental interactions in particle physics. By absorbing or emitting a W boson, any up-type quark (up, charm, and top quarks) can change into any down-type quark (down, strange, and bottom quarks) and vice versa. This flavor transformation mechanism causes the radioactive process of beta decay, in which a neutron (
n
) "splits" into a proton (
p
), an electron (
e−
) and an electron antineutrino (
ν
e) (see picture). This occurs when one of the down quarks in the neutron (
u
d
d
) decays into an up quark by emitting a virtual
W−
boson, transforming the neutron into a proton (
u
u
d
). The
W−
boson then decays into an electron and an electron antineutrino.[72]
n | → | p | + | e− | + | ν e | (Beta decay, hadron notation) |
u d d | → | u u d | + | e− | + | ν e | (Beta decay, quark notation) |
Both beta decay and the inverse process of inverse beta decay are routinely used in medical applications such as positron emission tomography (PET) and in experiments involving neutrino detection.
While the process of flavor transformation is the same for all quarks, each quark has a preference to transform into the quark of its own generation. The relative tendencies of all flavor transformations are described by a mathematical table, called the Cabibbo–Kobayashi–Maskawa matrix (CKM matrix). Enforcing unitarity, the approximate magnitudes of the entries of the CKM matrix are:[73]
where Vij represents the tendency of a quark of flavor i to change into a quark of flavor j (or vice versa).[nb 5]
There exists an equivalent weak interaction matrix for leptons (right side of the W boson on the above beta decay diagram), called the Pontecorvo–Maki–Nakagawa–Sakata matrix (PMNS matrix).[74]Together, the CKM and PMNS matrices describe all flavor transformations, but the links between the two are not yet clear.[75]
Strong interaction and color charge[edit]
According to quantum chromodynamics (QCD), quarks possess a property called color charge. There are three types of color charge, arbitrarily labeled blue, green, and red.[nb 6] Each of them is complemented by an anticolor – antiblue, antigreen, and antired. Every quark carries a color, while every antiquark carries an anticolor.[76]
The system of attraction and repulsion between quarks charged with different combinations of the three colors is called strong interaction, which is mediated by force carrying particles known as gluons; this is discussed at length below. The theory that describes strong interactions is called quantum chromodynamics(QCD). A quark, which will have a single color value, can form a bound system with an antiquark carrying the corresponding anticolor. The result of two attracting quarks will be color neutrality: a quark with color charge ξ plus an antiquark with color charge −ξ will result in a color charge of 0 (or "white" color) and the formation of a meson. This is analogous to the additive color model in basic optics. Similarly, the combination of three quarks, each with different color charges, or three antiquarks, each with different anticolor charges, will result in the same "white" color charge and the formation of a baryon or antibaryon.[77]
In modern particle physics, gauge symmetries – a kind of symmetry group – relate interactions between particles (see gauge theories). Color SU(3) (commonly abbreviated to SU(3)c) is the gauge symmetry that relates the color charge in quarks and is the defining symmetry for quantum chromodynamics.[78] Just as the laws of physics are independent of which directions in space are designated x, y, and z, and remain unchanged if the coordinate axes are rotated to a new orientation, the physics of quantum chromodynamics is independent of which directions in three-dimensional color space are identified as blue, red, and green. SU(3)c color transformations correspond to "rotations" in color space (which, mathematically speaking, is a complex space). Every quark flavor f, each with subtypes fB, fG, fR corresponding to the quark colors,[79] forms a triplet: a three-component quantum field that transforms under the fundamental representationof SU(3)c.[80] The requirement that SU(3)c should be local – that is, that its transformations be allowed to vary with space and time – determines the properties of the strong interaction. In particular, it implies the existence of eight gluon types to act as its force carriers.[78][81]
Mass[edit]
Two terms are used in referring to a quark's mass: current quark mass refers to the mass of a quark by itself, while constituent quark mass refers to the current quark mass plus the mass of the gluon particle fieldsurrounding the quark.[82] These masses typically have very different values. Most of a hadron's mass comes from the gluons that bind the constituent quarks together, rather than from the quarks themselves. While gluons are inherently massless, they possess energy – more specifically, quantum chromodynamics binding energy(QCBE) – and it is this that contributes so greatly to the overall mass of the hadron (see mass in special relativity). For example, a proton has a mass of approximately 938 MeV/c2, of which the rest mass of its three valence quarks only contributes about 9 MeV/c2; much of the remainder can be attributed to the field energy of the gluons[83][84] (see chiral symmetry breaking). The Standard Model posits that elementary particles derive their masses from the Higgs mechanism, which is associated to the Higgs boson. It is hoped that further research into the reasons for the top quark's large mass of ~173 GeV/c2, almost the mass of a gold atom,[83][85]might reveal more about the origin of the mass of quarks and other elementary particles.[86]
Size[edit]
In QCD, quarks are considered to be point-like entities, with zero size. As of 2014, experimental evidence indicates they are no bigger than 10−4 times the size of a proton, i.e. less than 10−19 metres.[87]
Table of properties[edit]
The following table summarizes the key properties of the six quarks. Flavor quantum numbers (isospin (I3), charm (C), strangeness (S, not to be confused with spin), topness (T), and bottomness (B′)) are assigned to certain quark flavors, and denote qualities of quark-based systems and hadrons. The baryon number (B) is +13 for all quarks, as baryons are made of three quarks. For antiquarks, the electric charge (Q) and all flavor quantum numbers (B, I3, C, S, T, and B′) are of opposite sign. Mass and total angular momentum (J; equal to spin for point particles) do not change sign for the antiquarks.
Particle | Mass* (MeV/c2) | J | B | Q (e) | I3 | C | S | T | B′ | Antiparticle | ||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Name | Symbol | Name | Symbol | |||||||||
First generation | ||||||||||||
up | u | 2.3±0.7 ± 0.5 | 12 | +13 | +23 | +12 | 0 | 0 | 0 | 0 | antiup | u |
down | d | 4.8±0.5 ± 0.3 | 12 | +13 | −13 | −12 | 0 | 0 | 0 | 0 | antidown | d |
Second generation | ||||||||||||
charm | c | 1275±25 | 12 | +13 | +23 | 0 | +1 | 0 | 0 | 0 | anticharm | c |
strange | s | 95±5 | 12 | +13 | −13 | 0 | 0 | −1 | 0 | 0 | antistrange | s |
Third generation | ||||||||||||
top | t | 173210±510 ± 710 * | 12 | +13 | +23 | 0 | 0 | 0 | +1 | 0 | antitop | t |
bottom | b | 4180±30 | 12 | +13 | −13 | 0 | 0 | 0 | 0 | −1 | antibottom | b |
J = total angular momentum, B = baryon number, Q = electric charge,
I3 = isospin, C = charm, S = strangeness, T = topness, B′ = bottomness.
* Notation such as 173210±510 ± 710, in the case of the top quark, denotes two types of measurement
uncertainty: The first uncertainty is statistical in nature, and the second is systematic.
Interacting quarks[edit]
As described by quantum chromodynamics, the strong interaction between quarks is mediated by gluons, massless vector gauge bosons. Each gluon carries one color charge and one anticolor charge. In the standard framework of particle interactions (part of a more general formulation known as perturbation theory), gluons are constantly exchanged between quarks through a virtual emission and absorption process. When a gluon is transferred between quarks, a color change occurs in both; for example, if a red quark emits a red–antigreen gluon, it becomes green, and if a green quark absorbs a red–antigreen gluon, it becomes red. Therefore, while each quark's color constantly changes, their strong interaction is preserved.[88][89][90]
Since gluons carry color charge, they themselves are able to emit and absorb other gluons. This causes asymptotic freedom: as quarks come closer to each other, the chromodynamic binding force between them weakens.[91] Conversely, as the distance between quarks increases, the binding force strengthens. The color field becomes stressed, much as an elastic band is stressed when stretched, and more gluons of appropriate color are spontaneously created to strengthen the field. Above a certain energy threshold, pairs of quarks and antiquarks are created. These pairs bind with the quarks being separated, causing new hadrons to form. This phenomenon is known as color confinement: quarks never appear in isolation.[92][93] This process of hadronization occurs before quarks, formed in a high energy collision, are able to interact in any other way. The only exception is the top quark, which may decay before it hadronizes.[94]
Sea quarks[edit]
Hadrons contain, along with the valence quarks (
q
v) that contribute to their quantum numbers, virtual quark–antiquark (
q
q
) pairs known as sea quarks (
q
s). Sea quarks form when a gluon of the hadron's color field splits; this process also works in reverse in that the annihilation of two sea quarks produces a gluon. The result is a constant flux of gluon splits and creations colloquially known as "the sea".[95] Sea quarks are much less stable than their valence counterparts, and they typically annihilate each other within the interior of the hadron. Despite this, sea quarks can hadronize into baryonic or mesonic particles under certain circumstances.[96]
Other phases of quark matter[edit]
Under sufficiently extreme conditions, quarks may become "deconfined" out of bound states and propagate as thermalized "free" excitations in the larger medium. In the course of asymptotic freedom, the strong interaction becomes weaker at increasing temperatures. Eventually, color confinement would be effectively lost in an extremely hot plasma of freely moving quarks and gluons. This theoretical phase of matter is called quark–gluon plasma.[99]
The exact conditions needed to give rise to this state are unknown and have been the subject of a great deal of speculation and experimentation. An estimate puts the needed temperature at (1.90±0.02)×1012kelvin.[100] While a state of entirely free quarks and gluons has never been achieved (despite numerous attempts by CERN in the 1980s and 1990s),[101] recent experiments at the Relativistic Heavy Ion Colliderhave yielded evidence for liquid-like quark matter exhibiting "nearly perfect" fluid motion.[102]
The quark–gluon plasma would be characterized by a great increase in the number of heavier quark pairs in relation to the number of up and down quark pairs. It is believed that in the period prior to 10−6 seconds after the Big Bang (the quark epoch), the universe was filled with quark–gluon plasma, as the temperature was too high for hadrons to be stable.[103]
Given sufficiently high baryon densities and relatively low temperatures – possibly comparable to those found in neutron stars – quark matter is expected to degenerate into a Fermi liquid of weakly interacting quarks. This liquid would be characterized by a condensation of colored quark Cooper pairs, thereby breaking the local SU(3)c symmetry. Because quark Cooper pairs harbor color charge, such a phase of quark matter would be color superconductive; that is, color charge would be able to pass through it with no resistance.[104]
See also[edit]
Explanatory notes[edit]
- ^ There is also the theoretical possibility of more exotic phases of quark matter.
- ^ The main evidence is based on the resonance width of the
Z0
boson, which constrains the 4th generation neutrino to have a mass greater than ~45 GeV/c2. This would be highly contrasting with the other three generations' neutrinos, whose masses cannot exceed 2 MeV/c2. - ^ CP violation is a phenomenon that causes weak interactions to behave differently when left and right are swapped (P symmetry) and particles are replaced with their corresponding antiparticles (C symmetry).
- ^ "Beauty" and "truth" are contrasted in the last lines of Keats' 1819 poem "Ode on a Grecian Urn" and may have been the origin of those names.[63][64][65]
- ^ The actual probability of decay of one quark to another is a complicated function of (among other variables) the decaying quark's mass, the masses of the decay products, and the corresponding element of the CKM matrix. This probability is directly proportional (but not equal) to the magnitude squared (|Vij |2) of the corresponding CKM entry.
- ^ Despite its name, color charge is not related to the color spectrum of visible light.
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- ^ M. Veltman (2003). Facts and Mysteries in Elementary Particle Physics. World Scientific. pp. 295–297. ISBN 978-981-238-149-1.
- ^ T. Yulsman (2002). Origin. CRC Press. p. 55. ISBN 978-0-7503-0765-9.
- ^ Particle Data Group (1 June 2020). "Top quark" (PDF). Progress of Theoretical and Experimental Physics. 2020: 083C01.
- ^ J. Steinberger (2005). Learning about Particles. Springer. p. 130. ISBN 978-3-540-21329-1.
- ^ C.-Y. Wong (1994). Introduction to High-energy Heavy-ion Collisions. World Scientific. p. 149. ISBN 978-981-02-0263-7.
- ^ S. B. Rüester; V. Werth; M. Buballa; I. A. Shovkovy; D. H. Rischke (2005). "The Phase Diagram of Neutral Quark Natter: Self-consistent Treatment of Quark Masses". Physical Review D. 72 (3): 034003. arXiv:hep-ph/0503184. Bibcode:2005PhRvD..72c4004R. doi:10.1103/PhysRevD.72.034004. S2CID 10487860.
- ^ M. G. Alford; K. Rajagopal; T. Schaefer; A. Schmitt (2008). "Color Superconductivity in Dense Quark Matter". Reviews of Modern Physics. 80 (4): 1455–1515. arXiv:0709.4635. Bibcode:2008RvMP...80.1455A. doi:10.1103/RevModPhys.80.1455. S2CID 14117263.
- ^ S. Mrowczynski (1998). "Quark–Gluon Plasma". Acta Physica Polonica B. 29 (12): 3711. arXiv:nucl-th/9905005. Bibcode:1998AcPPB..29.3711M.
- ^ Z. Fodor; S. D. Katz (2004). "Critical Point of QCD at Finite T and μ, Lattice Results for Physical Quark Masses". Journal of High Energy Physics. 2004 (4): 50. arXiv:hep-lat/0402006. Bibcode:2004JHEP...04..050F. doi:10.1088/1126-6708/2004/04/050.
- ^ U. Heinz; M. Jacob (2000). "Evidence for a New State of Matter: An Assessment of the Results from the CERN Lead Beam Programme". arXiv:nucl-th/0002042.
- ^ "RHIC Scientists Serve Up "Perfect" Liquid". Brookhaven National Laboratory. 2005. Archived from the original on 15 April 2013. Retrieved 22 May 2009.
- ^ T. Yulsman (2002). Origins: The Quest for Our Cosmic Roots. CRC Press. p. 75. ISBN 978-0-7503-0765-9.
- ^ A. Sedrakian; J. W. Clark; M. G. Alford (2007). Pairing in Fermionic Systems. World Scientific. pp. 2–3. ISBN 978-981-256-907-3.
Further reading[edit]
- A. Ali; G. Kramer (2011). "JETS and QCD: A Historical Review of the Discovery of the Quark and Gluon Jets and Its Impact on QCD". European Physical Journal H. 36 (2): 245. arXiv:1012.2288. Bibcode:2011EPJH...36..245A. doi:10.1140/epjh/e2011-10047-1. S2CID 54062126.
- R. Bowley; E. Copeland. "Quarks". Sixty Symbols. Brady Haran for the University of Nottingham.
- D. J. Griffiths (2008). Introduction to Elementary Particles (2nd ed.). Wiley–VCH. ISBN 978-3-527-40601-2.
- I. S. Hughes (1985). Elementary Particles (2nd ed.). Cambridge University Press. ISBN 978-0-521-26092-3.
- R. Oerter (2005). The Theory of Almost Everything: The Standard Model, the Unsung Triumph of Modern Physics. Pi Press. ISBN 978-0-13-236678-6.
- A. Pickering (1984). Constructing Quarks: A Sociological History of Particle Physics. The University of Chicago Press. ISBN 978-0-226-66799-7.
- B. Povh (1995). Particles and Nuclei: An Introduction to the Physical Concepts. Springer-Verlag. ISBN 978-0-387-59439-2.
- M. Riordan (1987). The Hunting of the Quark: A True Story of Modern Physics. Simon & Schuster. ISBN 978-0-671-64884-8.
- B. A. Schumm (2004). Deep Down Things: The Breathtaking Beauty of Particle Physics. Johns Hopkins University Press. ISBN 978-0-8018-7971-5.
External links[edit]
- 1969 Physics Nobel Prize lecture by Murray Gell-Mann
- 1976 Physics Nobel Prize lecture by Burton Richter
- 1976 Physics Nobel Prize lecture by Samuel C.C. Ting
- 2008 Physics Nobel Prize lecture by Makoto Kobayashi
- 2008 Physics Nobel Prize lecture by Toshihide Maskawa
- The Top Quark And The Higgs Particle by T.A. Heppenheimer – A description of CERN's experiment to count the families of quarks.
- Think Big website, Quarks and Gluons
- Think Big website, Quarks 2019
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