Test of the nonrelativistic $c\bar{c}$ potential

Abstract

We analyze the charmonium states by testing a phenomenological nonrelativistic potential and propose a new set of parameters. This new set of parameters are fixed using only the lowest lying S-wave states of charmonia where the spin-orbit and tensor interactions will not contribute. After fitting the parameters we analyze the whole fine structure of charmonium states taking into account the spin-orbit and tensor interactions too. Calculations showed that the nonrelativistic potential model with the phenomenologically defined parameters is indeed well approximation for describing the charmonium states.

arXiv comment5 pages

References in corpus (5)

• Higher Charmonia
• Charmonium
• Instantons at work
• Instanton effects on charmonium states
• Heavy quark correlators in Instanton Liquid Model with perturbative corrections

Cited by in corpus (1)

• Heavy-light quark systems from the QCD instanton vacuum: $N_f=1$ light flavor case