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An introduction to the quark model

An introduction to the quark model

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Few-charge systems His<strong>to</strong>ry of <strong>the</strong> <strong>quark</strong> <strong>model</strong> Mesons Baryons Multi<strong>quark</strong>s and o<strong>the</strong>r exotics Outlook<br />

Quantum numbers<br />

Consider symmetric <strong>quark</strong>onia Q ¯ Q<br />

Spin of <strong>quark</strong>s S, orbital momentum ℓ, spin of <strong>the</strong> meson J,<br />

parity P and charge conjugation C<br />

Lowest <strong>quark</strong>onium states<br />

2 s+1ℓJ 1S0 3S1 1P1 3P0 3P1 3P2 1D2 3D1 3D2 3D3 JPC 0−+ 1−− 1 +− 0 ++ 1 ++ 2 ++ 2−+ 1−− 2−− 3−− Remarks<br />

Some quantum numbers are absent, e.g., J PC = 1 −+<br />

Some J PC occur twice. For instance 1 −− may be a combination<br />

of 3 S1 and 3 D1<br />

In addition, radial number. Here, notation n = 1, 2, . . .. For<br />

instance,<br />

ηc is ηc(1S) or 1 1 S0<br />

η ′ c is ηc(2S) or 2 1 S0<br />

JMR Quark Model

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