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A quark ( or ) represents an elementary particle and a fundamental constituent of matter. Quarks combine to form composite particles called hadrons, the most stable of which amount to protons and neutrons, the components of atomic nuclei. Due to a phenomenon known as color confinement, we can never directly observe quarks or find them in isolation; we can find them only within hadrons, such as baryons (of which protons and neutrons portray examples), and mesons. For this reason, much of what we know about quarks draws from observations of the hadrons themselves.

Physicists have classified quarks into six types, known as flavors: up, down, strange, charm, bottom, and top. 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 generally remain stable and the most common in the universe, whereas we can only produce strange, charm, top, and bottom quarks in high energy collisions (such as those involving cosmic rays and in particle accelerators).

Quarks have various intrinsic properties, including electric charge, mass, color charge and spin. Quarks act as 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 we can not represent with integer multiples of the elementary charge. For every quark flavor there exists a corresponding type of antiparticle, known as an antiquark, that differs from the quark only in that some of its properties have equal magnitude but opposite sign.

Physicists Murray Gell-Mann and George Zweig independently proposed the quark model in 1964. They introduced quarks as parts of an ordering scheme for hadrons, and until deep inelastic scattering experiments at the Stanford Linear Accelerator Center in 1968, little evidence for their physical existence has come to conscious awareness. Physicists have since observed all six flavors of quark in accelerator experiments; the top quark, first observed at Fermilab in 1995, and the last discovered.

Classification
The Standard Model represents the theoretical framework describing all the currently known elementary particles, as well as the Higgs boson. This model contains six flavors of quarks, named up , down , strange , charm , bottom , and top. We call antiparticles of quarks antiquarks, and we denote it by drawing a bar over the symbol for the corresponding quark, such as 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.

We identify quarks as spin-$1/3$ particles, implying that they act as fermions according to the spin-statistics theorem. They remain subject to the Pauli exclusion principle, which states that no two identical fermions can simultaneously occupy the same quantum state. You can view this in contrast to bosons (particles with integer spin), any number of which can exist in the same state. 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).

We call the quarks which determine the quantum numbers of hadrons valence quarks; apart from these, any hadron may contain an indefinite number of virtual (or sea) quarks, antiquarks, and gluons which do not influence its quantum numbers. Physicist classified two families of hadrons: baryons, with three valence quarks, and mesons, with a valence quark and an antiquark. We find the most common baryons as the proton and the neutron, the building blocks of the atomic nucleus. We know a great number of hadrons as (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 and pentaquarks, many have conjectured but not proven.

Elementary fermions group 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, and there lingers strong indirect evidence that no more than three generations exist. 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, many think they had presence during the first fractions of a second after the Big Bang, when the universe existed in an extremely hot and dense phase (the quark epoch). Physicists conduct studies of heavier quarks in artificially created conditions, such as in particle accelerators.

Having electric charge, mass, color charge, and flavor, quarks represent the only known elementary particles that engage in all four fundamental interactions of contemporary physics: electromagnetism, gravitation, strong interaction, and weak interaction. Gravitation seems 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, the Standard Model cannot describe gravitation.

See the table of properties below for a more complete overview of the six quark flavors' properties.

History
Physicists Murray Gell-Mann and George Zweig independently proposed the quark model in 1964. 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. Physicist Yuval Ne'eman had independently developed a scheme similar to the Eightfold Way in the same year.

At the time of the quark theory's inception, the "particle zoo" included, amongst other particles, a multitude of hadrons. Gell-Mann and Zweig posited that they did not represent elementary particles, but instead contained 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. The initial reaction of the physics community to the proposal seemed mixed. Some held particular contention about whether the quark depicts a physical entity or an abstraction used to explain concepts that many did not properly stand with at the time.

In less than a year, others proposed extensions to the Gell-Mann–Zweig model. Sheldon Lee 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.

In 1968, deep inelastic scattering experiments at the Stanford Linear Accelerator Center (SLAC) showed that the proton contained much smaller, point-like objects and could therefore not hold the classification of an elementary particle. Physicists had reluctance in identifying these objects with quarks at the time, instead of calling them "partons" – a term coined by Richard Feynman. The objects that were observed at SLAC would later be identified as up and down quarks as the other flavors were discovered. Nevertheless, "parton" remains in use as a collective term for the constituents of hadrons (quarks, antiquarks, and gluons).

The strange quark's existence received indirectly validation by SLAC's scattering experiments: not only does it assume a necessary component of Gell-Mann and Zweig's three-quark model, but it provided an explanation for the kaon and pion  hadrons discovered in cosmic rays in 1947.

In a 1970 paper, Glashow, John Iliopoulos and Luciano Maiani presented further reasoning for the existence of the as-yet undiscovered charm quark. 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 may have an explanation if there existed another pair of quarks.

Two teams almost simultaneously produced charm quarks in November 1974 (see November Revolution) – one at SLAC under Burton Richter, and one at Brookhaven National Laboratory under Samuel Ting. They observed charm quarks bound with charm antiquarks in mesons. The two parties had assigned the discovered meson two different symbols, J and ψ; thus, they formally called them meson. The discovery finally convinced the physics community of the quark model's validity.

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 signifies the first to coin the terms top and bottom for the additional quarks.

A team at Fermilab led by Leon Lederman observed the bottom quark in 1977. This produced a strong indicator of the top quark's existence: without the top quark, the bottom quark would not have a partner. However, the CDF and DØ teams at Fermilab did not observe the top quark until 1995. It had a mass much greater than had they previously expected – almost as great as a gold atom.

Etymology
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 book Finnegans Wake: "Three quarks for Muster Mark! Sure he has not got much of a bark And sure any he has it's all beside the mark."

Gell-Mann went into further detail regarding the name of the quark in his book, The Quark and the Jaguar: "In 1963, when I assigned the name "quark" to the fundamental constituents of the nucleon, I had the sound first, without the spelling, which could have been "kwork". Then, in one of my occasional perusals of Finnegans Wake, by James Joyce, I came across the word "quark" in the phrase "Three quarks for Muster Mark". Since "quark" (meaning, for one thing, the cry of the gull) was clearly intended to rhyme with "Mark", as well as "bark" and other such words, I had to find an excuse to pronounce it as "kwork". But the book represents the dream of a publican named Humphrey Chimpden Earwicker. Words in the text are typically drawn from several sources at once, like the "portmanteau" words in "Through the Looking-Glass". From time to time, phrases occur in the book that are partially determined by calls for drinks at the bar. I argued, therefore, that perhaps one of the multiple sources of the cry "Three quarks for Muster Mark" might be "Three quarts for Mister Mark", in which case the pronunciation "kwork" would not be totally unjustified. In any case, the number three fitted perfectly the way quarks occur in nature. (translation: In 1963, when I assigned the name "quark" to the fundamental constituents of the nucleon, I had the sound first, without the spelling, which you can pronounce as "kwork". ... Since Joyce clearly intended "quark" (meaning, for one thing, the cry of the gull) to rhyme with "Mark", as well as "bark" and other such words, I had to find an excuse to pronounce it as "kwork". ... You can typically draw words in the text from several sources at once, like the "portmanteau" words in "Through the Looking-Glass". From time to time, phrases occur in the book as partially determined calls for drinks at the bar. I argued, therefore, that perhaps one of the multiple sources of the cry "Three quarls for Muster Mark" might mean "Three quarts for Mister Mark", in which case the pronunciation "kwork", I could not justify. ...)"

Zweig preferred the name ace for the particle he had theorized, but Gell-Mann's terminology came to prominence once a majority accepted the quark model.

The quark flavors gained their names for a number of reasons. Physicist named the up and down quarks after the up and down components of isospin, which they carry. Strange quarks received their name because astrophysicists found components of strange particles in previously discovered cosmic rays years before Gell-Mann and Zweig proposed the quark model; these particles held the classification of "strange" because they had unusually long lifetimes. Glashow, who coproposed charm quark with Bjorken, we quote as saying, "We called our construct the 'charmed quark', for we were fascinated and pleased by the symmetry it brought to the subnuclear world." (translates: We called our construct the 'charmed quark', for we held fascination and pleasure due to the symmetry it brought to the sub-nuclear world.) Harari coined the names "bottom" and "top" because they represent "logical partners for up and down quarks". In the past, some physicists refer to the bottom and top quarks as "beauty" and "truth" respectively, but these names have somewhat fallen out of use. While "truth" never did catch on, people sometimes call the accelerator complexes devoted to massive production of bottom quarks "beauty factories".

Electric charge
Quarks have fractional electric charge values – either $2/3$ or $1/3$ times the elementary charge, depending on flavor. Up, charm, and top quarks (collectively referred to as up-type quarks) have a charge of +$1/2$, while down, strange, and bottom quarks (down-type quarks) have −$1/2$. Antiquarks have the opposite charge to their corresponding quarks; up-type antiquarks have charges of −$45 GeV/c2$ and down-type antiquarks have charges of +$2 MeV/c2$. 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. For example, the hadron constituents of atomic nuclei, neutrons and protons, have charges of 0 and +1 respectively; the neutron is composed of two down quarks and one up quark, and the proton of two up quarks and one down quark.

Spin
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.

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 +ħ/2 or −ħ/2; for this reason quarks are classified as spin-$1/3$ particles. The component of spin along a given axis – by convention the z axis – is often denoted by an up arrow ↑ for the value +$2/3$ and down arrow ↓ for the value −$2/3$, placed after the symbol for flavor. For example, an up quark with a spin of +$1/3$ along the z axis is denoted by u↑.

Weak interaction
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 "splits" into a proton, an electron  and an electron antineutrino  (see picture). This occurs when one of the down quarks in the neutron decays into an up quark by emitting a virtual  boson, transforming the neutron into a proton. The boson then decays into an electron and an electron antineutrino.

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 high-energy experiments such as 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: where Vij represents the tendency of a quark of flavor i to change into a quark of flavor j (or vice versa).

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). Together, the CKM and PMNS matrices describe all flavor transformations, but the links between the two are not yet clear.

Strong interaction and color charge
According to QCD, quarks possess a property called color charge. There are three types of color charge, arbitrarily labeled blue, green, and red. Each of them is complemented by an anticolor – antiblue, antigreen, and antired. Every quark carries a color, while every antiquark carries an anticolor.

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 charged with one color value can form a bound system with an antiquark carrying the corresponding anticolor; three (anti)quarks, one of each (anti)color, will similarly be bound together. 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. Analogous to the additive color model in basic optics, the combination of three quarks or three antiquarks, each with different color charges, will result in the same "white" color charge and the formation of a baryon or antibaryon.

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. 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, forms a triplet: a three-component quantum field which transforms under the fundamental representation of SU(3)c. 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 the existence of eight gluon types to act as its force carriers.

Mass


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 field surrounding the quark. 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 11 MeV/c2; much of the remainder can be attributed to the gluons' QCBE.

The Standard Model posits that elementary particles derive their masses from the Higgs mechanism, which is related to the Higgs boson. Physicists hope that further research into the reasons for the top quark's large mass of ~173 GeV/c2, almost the mass of a gold atom, might reveal more about the origin of the mass of quarks and other elementary particles.

Table of properties
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 +$2/3$ 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.

J = total angular momentum, B = baryon number, Q = electric charge, I3 = isospin, C = charm, S = strangeness, T = topness, B′ = bottomness.
 * Notation such as $1/3$ denotes measurement uncertainty. In the case of the top quark, the first uncertainty is statistical in nature, and the second is systematic.

Interacting quarks
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.

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. 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. 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.

Sea quarks
Hadrons, along with the valence quarks that contribute to their quantum numbers, contain virtual quark–antiquark  pairs known as sea quarks. 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". 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.

Other phases of quark matter
Under sufficiently extreme conditions, quarks may become deconfined and exist as free particles. In the course of asymptotic freedom, the strong interaction becomes weaker at higher temperatures. Eventually, color confinement would be lost and an extremely hot plasma of freely moving quarks and gluons would be formed. This theoretical phase of matter is called quark–gluon plasma. 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. A recent estimate puts the needed temperature at $1/2$ Kelvin. While a state of entirely free quarks and gluons has never been achieved (despite numerous attempts by CERN in the 1980s and 1990s), recent experiments at the Relativistic Heavy Ion Collider have yielded evidence for liquid-like quark matter exhibiting "nearly perfect" fluid motion.

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.

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.