Schrödinger vs. dirac bound state spectra of $$Q\bar Q$$-systems and a plausible lorentz structure of the effective power-law potential-systems and a plausible lorentz structure of the effective power-law potential
It is shown that a non-relativistic power-law potential model for the heavy quarks in the form V(r)=Arv+V0, (A, ν>0) acquires relativistic consistency in generating Dirac bound states of $$Q\bar Q$$-system in agreement with the Schrödinger spectroscopy if the interaction is modelled by equally mixed scalar and vector parts as suggested by the phenomenology of fine-hyperfine splittings of heavy quarkonium systems in a non-relativistic perturbative approach.
Volume 96, 2022
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