Cornell potential parameters for S-wave heavy quarkonia

Abstract

We compute derived quantities for various values of the model parameter of the Cornell potential model for the S-wave heavy quarkonia with radial quantum numbers n = 1, 2 and 3. Our results can be used to determine leading and relative-order-v(2) nonrelativistic quantum chromodynamics matrix elements for S-wave charmonia and bottomonia such as psi(2S), eta(c)(2S) and Gamma(nS) for n = 1, 2 and 3. These matrix elements will be essential ingredients for resumming relativistic corrections to processes involving those S-wave heavy quarkonium states.