**Baryons**

Since quarks are fermions, the spin-statistics theorem implies that the wavefunction of a baryon must be antisymmetric under exchange of any two quarks. This antisymmetric wavefunction is obtained by making it fully antisymmetric in colour and symmetric in flavour, spin and space put together. With three flavours, the decomposition in flavour is

- .

The decuplet is symmetric in flavour, the singlet antisymmetric and the two octets have mixed symmetry. The space and spin parts of the states are thereby fixed once the orbital angular momentum is given.

It is sometimes useful to think of the basis states of quarks as the six states of three flavours and two spins per flavour. This approximate symmetry is called spin-flavour SU(6). In terms of this, the decomposition is

The 56 states with symmetric combination of spin and flavour decompose under flavour SU(3) into

where the superscript denotes the spin, *S*, of the baryon. Since these states are symmetric in spin and flavour, they should also be symmetric in space—a condition that is easily satisfied by making the orbital angular momentum *L* = 0. These are the ground state baryons. The *S* = 1⁄_{2} octet baryons are the two nucleons (p+, n0), the three Sigmas (Σ+, Σ0, Σ−), the two Xis (Ξ0, Ξ−), and the Lambda (Λ0). The *S* = 3⁄_{2} decuplet baryons are the four Deltas (Δ++, Δ+, Δ0, Δ−), three Sigmas (Σ∗+, Σ∗0, Σ∗−), two Xis (Ξ∗0, Ξ∗−), and the Omega (Ω−). Mixing of baryons, mass splittings within and between multiplets, and magnetic moments are some of the other questions that the model deals with.

Read more about this topic: Quark Model

### Other articles related to "baryons, baryon":

**Baryons**- The Discovery of Colour

... a consequence of this classification when it was realized that the spin S = 3⁄2

**baryon**, the Δ++ required three up quarks with parallel spins and vanishing orbital angular momentum, and ...

... X Y W' Z' Sterile neutrino Composite Hadrons

**Baryons**/ Hyperons N p n Δ Λ Σ Ξ Ω Mesons / Quarkonia π ρ η η′ φ ω J/ψ ϒ θ K B D T Others Atomic ...

**Baryons**

... Charmed

**baryons**are a category of composite particles comprising all

**baryons**made of at least one charm quark ... Since their first observation in the 1970s, a large number of distinct charmed

**baryon**states have been identified ... Observed charmed

**baryons**have masses ranging between 2,300 and 2,700 MeV/c2 ...

... Heavy

**Baryon**Chiral Perturbation Theory (HBChPT) is an effective quantum field theory used to describe the interactions of pions and nucleons/

**baryons**... In a richer theory one would also like to describe the interactions of

**baryons**with pions ... Because the

**baryons**are much heavier than the pions, HBChPT rests on the use of a nonrelativistic description of

**baryons**compared to that of the pions ...

**Baryons**

...

**Baryons**are the family of composite particle made of three quarks, as opposed to the mesons which are the family of composite particles made of one quark and one antiquark ... Both

**baryons**and mesons are part of the larger particle family comprising all particles made of quarks – the hadron ... The term

**baryon**is derived from the Greek "βαρύς" (barys), meaning "heavy", because at the time of their naming it was believed that

**baryons**were characterized by having greater masses than other particles that ...