Color Transparency
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Color transparency is a phenomenon observed in high-energy
particle physics Particle physics or high-energy physics is the study of Elementary particle, fundamental particles and fundamental interaction, forces that constitute matter and radiation. The field also studies combinations of elementary particles up to the s ...
, where
hadrons In particle physics, a hadron is a composite subatomic particle made of two or more quarks held together by the strong nuclear force. Pronounced , the name is derived . They are analogous to molecules, which are held together by the electric ...
(particles made of
quarks A quark () 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. All commonly o ...
such as a
proton A proton is a stable subatomic particle, symbol , Hydron (chemistry), H+, or 1H+ with a positive electric charge of +1 ''e'' (elementary charge). Its mass is slightly less than the mass of a neutron and approximately times the mass of an e ...
or
mesons In particle physics, a meson () is a type of hadronic subatomic particle composed of an equal number of quarks and antiquarks, usually one of each, bound together by the strong interaction. Because mesons are composed of quark subparticles, the ...
) created in a
nucleus Nucleus (: nuclei) is a Latin word for the seed inside a fruit. It most often refers to: *Atomic nucleus, the very dense central region of an atom *Cell nucleus, a central organelle of a eukaryotic cell, containing most of the cell's DNA Nucleu ...
propagate through that nucleus with less interaction than expected. It suggests that hadrons are first created with a small size in the nucleus, and then grow to their nominal size. Here, ''color'' refers to the
color charge Color charge is a property of quarks and gluons that is related to the particles' strong interactions in the theory of quantum chromodynamics (QCD). Like electric charge, it determines how quarks and gluons interact through the strong force; ho ...
, the property of quarks and gluons that determines how strongly they interact through the nuclear strong force. Color transparency is also known as "color screening", "color coherence" or "color neutrality".


Description

Color transparency arises from the behavior of
quarks A quark () 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. All commonly o ...
inside
hadrons In particle physics, a hadron is a composite subatomic particle made of two or more quarks held together by the strong nuclear force. Pronounced , the name is derived . They are analogous to molecules, which are held together by the electric ...
. These quarks are held together by the
strong interaction In nuclear physics and particle physics, the strong interaction, also called the strong force or strong nuclear force, is one of the four known fundamental interaction, fundamental interactions. It confines Quark, quarks into proton, protons, n ...
, mediated by
gluons A gluon ( ) is a type of massless elementary particle that mediates the strong interaction between quarks, acting as the exchange particle for the interaction. Gluons are massless vector bosons, thereby having a spin of 1. Through the s ...
. At high energies, when a high-energy hadron -or more generally a color singlet object interacts with a
nucleus Nucleus (: nuclei) is a Latin word for the seed inside a fruit. It most often refers to: *Atomic nucleus, the very dense central region of an atom *Cell nucleus, a central organelle of a eukaryotic cell, containing most of the cell's DNA Nucleu ...
, it can propagate in the nucleus with less scattering than expected. This reduced scattering, or transparency, is attributed to the fact soon after the hadron is created, the gluon cloud surrounding the quarks is more compact, viz the effective size of the singlet object is small, leading to reduced interaction. This effect is observed in experiments involving high-energy electron scattering off nuclei, where the transparency increases with increasing energy of the incoming particles, or more precisely with the 4-momentum transfer between the accelerated particle beam and target nucleus.


Interpretation

Color transparency is interpreted as the creation of ''point-like configurations'' (PLC), also called ''small-size configurations'' (SSC) or ''ejectile'', that are color singlet and of radius , where is the
reduced Planck constant The Planck constant, or Planck's constant, denoted by h, is a fundamental physical constant of foundational importance in quantum mechanics: a photon's energy is equal to its frequency multiplied by the Planck constant, and the wavelength of a ...
. The radius is small because the quarks are close to each other, making their external
color Color (or colour in English in the Commonwealth of Nations, Commonwealth English; American and British English spelling differences#-our, -or, see spelling differences) is the visual perception based on the electromagnetic spectrum. Though co ...
fields to cancel, much like the
electric field An electric field (sometimes called E-field) is a field (physics), physical field that surrounds electrically charged particles such as electrons. In classical electromagnetism, the electric field of a single charge (or group of charges) descri ...
of an
electric dipole The electric dipole moment is a measure of the separation of positive and negative electrical charges within a system: that is, a measure of the system's overall polarity. The SI unit for electric dipole moment is the coulomb-metre (C⋅m). The ...
vanishes at distances much larger than the dipole size. If the energy-momentum of the PLC/SSC/ejectile is high enough, it does not have time to expand to its nominal size (e.g., about 0.8 fm if the PLC/SSC becomes a proton) while propagating in the target nucleus, resulting in it going through the nucleus unimpeded. The above interpretation is in the partonic language, which uses quarks and gluons as the
degrees of freedom In many scientific fields, the degrees of freedom of a system is the number of parameters of the system that may vary independently. For example, a point in the plane has two degrees of freedom for translation: its two coordinates; a non-infinite ...
. Due to the ''quark-hadron duality'', or ''parton-hadron duality'', meaning that all QCD predictions can be expressed using a hadronic basis, color transparency can also be described using hadronic degrees of freedom. In that case, the ejectile, although not a hadron (i.e., not an
eigenstate In quantum physics, a quantum state is a mathematical entity that embodies the knowledge of a quantum system. Quantum mechanics specifies the construction, evolution, and measurement of a quantum state. The result is a prediction for the system re ...
of the QCD Hamiltonian despite being color singlet), can be represented as a superposition of hadrons. Such a superposition state has a smaller size than each individual hadron. As the ejectile propagates in the nucleus, all but one of the hadron states constituting the ejectile state are filtered out by the interaction of the ejectile with the nucleons in the nucleus. The remaining hadronic state corresponds to the hadron eventually produced in the reaction. The filtering out of the other states occurs after a typical ''formation time'' . If the distance is larger than the nucleus size, then no filtering happens in the nucleus, the ejectile keeps its small size, and propagates largely unhindered. This is color transparency described with hadronic degrees of freedom.


Experimental observations

The phenomenon has been observed in several experiments, including experiment E791 at
Fermilab Fermi National Accelerator Laboratory (Fermilab), located in Batavia, Illinois, near Chicago, is a United States Department of Energy United States Department of Energy National Labs, national laboratory specializing in high-energy particle phys ...
. The experiment ran from June 1988 to January 1992 and collided high-energy (500 GeV) pions onto
carbon Carbon () is a chemical element; it has chemical symbol, symbol C and atomic number 6. It is nonmetallic and tetravalence, tetravalent—meaning that its atoms are able to form up to four covalent bonds due to its valence shell exhibiting 4 ...
and
platinum Platinum is a chemical element; it has Symbol (chemistry), symbol Pt and atomic number 78. It is a density, dense, malleable, ductility, ductile, highly unreactive, precious metal, precious, silverish-white transition metal. Its name origina ...
nuclei. The experiment observed evidence of color transparency in the production of vector mesons, such as and mesons. Other experiments that observed evidence for color transparency include the E665 experiment, also at Fermilab, the
HERMES experiment HERMES was a particle detector at the HERA particle accelerator located at the German national laboratory DESY in Hamburg. The experiment's goal was to investigate the quark–gluon structure of matter by examining how a nucleon's constituents affe ...
at
DESY DESY, short for Deutsches Elektronen-Synchrotron (English: ''German Electron Synchrotron''), is a national research centre for fundamental science located in Hamburg and Zeuthen near Berlin in Germany. It operates particle accelerators used to ...
, the E01-107 and the E02-110 experiments at Jefferson Lab. The experimental signal for color transparency is the "nuclear transparency", defined as the ratio between the
nuclear cross section The nuclear cross section of a nucleus is used to describe the probability that a nuclear reaction will occur. The concept of a nuclear cross section can be quantified physically in terms of "characteristic area" where a larger area means a larg ...
per nucleon over that on a free nucleon. Color transparency then predicts an increase of nuclear transparency with .


Importance

Color transparency is important because it provides valuable insights into the
strong interaction In nuclear physics and particle physics, the strong interaction, also called the strong force or strong nuclear force, is one of the four known fundamental interaction, fundamental interactions. It confines Quark, quarks into proton, protons, n ...
. In fact, color transparency is a prediction of the quantum field theory of the strong force, quantum chromodynamics (QCD). Additionally, color transparency has implications for nuclear physics and the structure of atomic nuclei. By studying how particles interact with nuclei at high energies, one learns more about the distributions of quarks and gluons within nucleons and how they are affected by the surrounding nuclear environment. The noticeable modification of these distributions by the nuclear environment is known as the EMC effect and is, as of 2024, a vibrant field of research in particle and nuclear physics.


References

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External links


A 1-page pedagogical description of color transparencyOn color transparency, B.K. Jennings and G.A. Miller, Phys.Lett.B 236 (1990) 209-213Color transparency: The Wherefore and the why, B.K. Jennings, G.A. Miller, Phys.Rev.D 44 (1991) 692-703, Phys. Rev. D44 (1991) 692-703Color transparency: past, present and future, D. Dutta, K. Hafidi and M. Strikman, Prog. Part. Nucl. Phys. 69, 1 (2013) [arXiv:1211.2826 [nucl-th
.">rXiv:1211.2826 [nucl-th">Color transparency: past, present and future, D. Dutta, K. Hafidi and M. Strikman, Prog. Part. Nucl. Phys. 69, 1 (2013) [arXiv:1211.2826 [nucl-th
. Quantum chromodynamics Hadrons, Nuclear physics