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Baryon number

 

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Baryon number



 
 
In particle physics
Particle physics

Particle physics is a branch of physics that studies the elementary particle constituents of matter and radiation, and the interactions between them....
, the baryon number is an approximate conserved quantum number
Quantum number

Quantum numbers describe values of conserved numbers in the dynamics of the quantum system. They often describe specifically the energies of electrons in atoms, but other possibilities include angular momentum, Spin etc....
 of a system. It is defined as: where
is the number of constituent quark
Constituent quark

A constituent quark is a current quark with a covering.In the low energy limit of Quantum chromodynamics, a description by means of perturbation theory is not possible....
s, and
is the number of constituent antiquarks.


Why one third? According to the laws of strong interaction
Strong interaction

In particle physics, the strong interaction, or strong force, or color force, holds quarks and gluons together to form protons, neutrons and other particles....
 there cannot be any bare color charge, i.e. the total color charge of a particle has to be zero ('white'), (cf. confinement
Colour confinement

Color confinement, often called just confinement, is the physics phenomenon that color charged particles cannot be isolated singularly, and therefore cannot be directly observed....
). This can only be achieved by either putting together a quark of one color with an antiquark of the corresponding anticolor, giving a meson
Meson

In particle physics, mesons are subatomic particles composed of one quark and one antiquark. They are part of the hadron particle family ? particles made of quarks....
 with baryon number zero, by combining three quarks into a baryon
Baryon

Baryons are the family of composite particle subatomic particle made of three quarks, as opposed to the mesons which are the family of composite particles made of one quark and one antiquark....
 with baryon number +1, or by combining three antiquarks into an antibaryon with baryon number −1.






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Encyclopedia


In particle physics
Particle physics

Particle physics is a branch of physics that studies the elementary particle constituents of matter and radiation, and the interactions between them....
, the baryon number is an approximate conserved quantum number
Quantum number

Quantum numbers describe values of conserved numbers in the dynamics of the quantum system. They often describe specifically the energies of electrons in atoms, but other possibilities include angular momentum, Spin etc....
 of a system. It is defined as: where
is the number of constituent quark
Constituent quark

A constituent quark is a current quark with a covering.In the low energy limit of Quantum chromodynamics, a description by means of perturbation theory is not possible....
s, and
is the number of constituent antiquarks.


Why one third? According to the laws of strong interaction
Strong interaction

In particle physics, the strong interaction, or strong force, or color force, holds quarks and gluons together to form protons, neutrons and other particles....
 there cannot be any bare color charge, i.e. the total color charge of a particle has to be zero ('white'), (cf. confinement
Colour confinement

Color confinement, often called just confinement, is the physics phenomenon that color charged particles cannot be isolated singularly, and therefore cannot be directly observed....
). This can only be achieved by either putting together a quark of one color with an antiquark of the corresponding anticolor, giving a meson
Meson

In particle physics, mesons are subatomic particles composed of one quark and one antiquark. They are part of the hadron particle family ? particles made of quarks....
 with baryon number zero, by combining three quarks into a baryon
Baryon

Baryons are the family of composite particle subatomic particle made of three quarks, as opposed to the mesons which are the family of composite particles made of one quark and one antiquark....
 with baryon number +1, or by combining three antiquarks into an antibaryon with baryon number −1. Another possibility is the exotic pentaquark
Pentaquark

A pentaquark is an hypothetical subatomic particle consisting of a group of five quarks , or more specifically four quarks and one anti-quark and is represented by T....
, thought to be found experimentally, which consists of four quarks and one antiquark.

Thus, quarks are always present in threes if antiquarks are counted as "negative quarks". Historically, baryon number was defined long before the current model of quarks was established, so rather than changing the definition, particle physicists simply divided the previously known quantum number
Quantum number

Quantum numbers describe values of conserved numbers in the dynamics of the quantum system. They often describe specifically the energies of electrons in atoms, but other possibilities include angular momentum, Spin etc....
 by three. Nowadays it might be more accurate to speak of the conservation of quark number.

Particles without any quarks or antiquarks have a baryon number of zero. Such particles include lepton
Lepton

Leptons are a family of elementary particles, alongside quarks and gauge bosons . Like quarks, leptons are fermions and are subject to the electromagnetic force, the gravitational force, and weak interaction....
s, the photon
Photon

In physics, the photon is an elementary particle, the quantum of the electromagnetic field and the basic unit of light and all other forms of electromagnetic radiation....
, and the W and Z bosons
W and Z bosons

The W and Z bosons are the elementary particles that mediate the weak force. Their discovery has been heralded as a major success for the Standard Model of particle physics....
.

The baryon number is nearly conserved in all interactions of the Standard Model
Standard Model

The Standard Model of particle physics is a theory of three of the four known fundamental interactions and the elementary particles that take part in these interactions....
. The loophole is the chiral anomaly
Chiral anomaly

A chiral anomaly is the anomaly nonconservation of a chirality current. In some theories of chiral fermion the quantization may lead to the breaking of this chiral symmetry....
. However, sphaleron
Sphaleron

A sphaleron is a static solution to the electroweak field equations of the Standard Model of particle physics, and it is involved in processes that violate baryon and lepton number....
s are not all that common. Electroweak sphalerons can only change the baryon number by 3.

'Conserved' means that the sum of the baryon number of all incoming particles is the same as the sum of the baryon numbers of all particles resulting from the reaction.

A violation of baryon number might lead to proton decay, but only if the baryon number changes by 1.

The still hypothetical idea of grand unified theory allows for the changing of a baryon
Baryon

Baryons are the family of composite particle subatomic particle made of three quarks, as opposed to the mesons which are the family of composite particles made of one quark and one antiquark....
 into a bunch of lepton
Lepton

Leptons are a family of elementary particles, alongside quarks and gauge bosons . Like quarks, leptons are fermions and are subject to the electromagnetic force, the gravitational force, and weak interaction....
s, thus violating the conservation of baryon and lepton number. Proton decay
Proton decay

In particle physics, proton decay is a Hypothesis form of radioactive decay in which the proton decays into lighter subatomic particles, usually a neutral pion and a positron....
 would be an example of such a process taking place.

See also

  • proton decay
    Proton decay

    In particle physics, proton decay is a Hypothesis form of radioactive decay in which the proton decays into lighter subatomic particles, usually a neutral pion and a positron....
  • Lepton number
    Lepton number

    In high energy physics, the lepton number is the number of leptons minus the number of antileptons.In equation form,so all leptons have assigned a value of +1, antileptons −1, and non-leptonic particles 0....
  • B-L
    B-L

    In high energy physics, B-L is the baryon number minus the lepton number....
  • flavour (particle physics)
    Flavour (particle physics)

    In particle physics, flavour or flavor is a quantum number of elementary particles. In quantum chromodynamics flavour is a global symmetry....
  • Isospin
    Isospin

    In physics, and specifically, particle physics, isospin is a quantum number related to the strong interaction. This term was derived from isotopic spin, but the term is confusing as two isotopes of a nucleus have different numbers of nucleons; in contrast, rotations of isospin maintain the number of nucleons....
  • Hypercharge
    Hypercharge

    In particle physics, the hypercharge of a particle is related to the strong interaction, and is distinct from the similarly named weak hypercharge, which has an analogous role in the electroweak interaction....


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