The is the first radial excitation of the ground-state charmonium pseudoscalar : it…

PHYSICS · Subjective · Fermi University Physics · Particle Physics & Quantum Fields · Symmetry, groups and the quark model · Symmetry, groups and the quark model

Symmetry and Flavour, Ch Hadron spectroscopy: quarkonium, orbital excitations and exotic states

Problem

The

\eta_c(2S)

is the first radial excitation of the ground-state charmonium pseudoscalar

\eta_c(1S)

: it is a spin-singlet (

S=0

), orbital ground state (

L=0

) bound state of a charm quark and its antiquark, with radial quantum number

n=2

. For a quark-antiquark pair, parity is

P=(-1)^{L+1}

and charge conjugation is

C=(-1)^{L+S}

. Write down the spectroscopic label

n\,{}^{2S+1}L_J

and the

J^{PC}

quantum numbers of the

\eta_c(2S)

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