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 is fixed using only the lowest lying S-wave states of charmonia where the spin-orbit and the 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 the tensor interactions. Calculations showed that the nonrelativistic potential model with a phenomenologically defined parameters was indeed a good approximation for describing the charmonium states.