Cornell Potential Parameters for S-wave Heavy Quarkonia

TL;DR

This paper calculates key parameters for the Cornell potential model of S-wave heavy quarkonia, aiding in the precise determination of quantum chromodynamics matrix elements for charmonium and bottomonium states.

Contribution

It provides derived quantities for various model parameters, enabling improved calculations of relativistic corrections in heavy quarkonium processes.

Findings

Computed potential parameters for n=1, 2, 3 states

Facilitates determination of NRQCD matrix elements

Supports resummation of relativistic corrections

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 Upsilon(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.