SPIN AND ENERGY EFFECTS IN HEAVY QUARKONIUM SPECTROSCOPY

Abstract

Exact analytical solution of Schrodinger equation is solved using the spherically symmetric interquark potential
consisting of harmonic oscillator term with linear energy dependence as the confinement part and the inverse square
potential as the asymptotic part in nonrelativistic frame of reference. Spin dependent heavy quark spectroscopy is
obtained by adding Breit-Fermi correction term to the interaction for
cc
and
bb
system. Further predicted values of
fine and hyperfine splitting of S and P states are compared with the results of recent experiment and other authors.
According to our calculation, hyperfine splitting of 1S and 2S and their ratio are of
bb
system is close to experimental
value as showing importance of asymptotic term added in energy dependent potential.