The status of the heavy quark systems

TL;DR

This paper reviews inequalities related to energy levels and wave functions in heavy quark systems, and provides a fit of meson and baryon data using historical parameters, comparing with current experimental results.

Contribution

It compiles and discusses inequalities in quantum systems and updates the fit of heavy quark hadron data using parameters from 1981, contrasting with modern measurements.

Findings

Inequalities on energy levels and wave functions are applicable to quarkonium and atomic systems.

A fit of meson and baryon data using 1981 parameters aligns with current experimental data.

Historical parameters remain relevant for describing heavy quark systems.

Abstract

We review various inequalities on the order and the spacing of energy levels, wave function at the origin, etc... which were obtained since 1977 in the framework of the Schrodinger equation and applied to quarkonium and also to muonic atoms and alcaline atoms. We also present a fit of mesons and baryons made of b, c, s quarks and antiquarks, keeping the 1981 parameters and comparing with present experimental data.