Hadron masses and the non-relativistic quark model

Abstract

<p>The hadron masses are calculated in the non-relativistic quark model by solving the Schrödinger equation with a suitable potential. The three-body baryon problem is solved by the Feshbach-Rubinow method.</p> <p>The Fermi-Breit potential proposed by De Rújula, Glashow and Georgi is shown to be unsuitable for non-relativistic hadron systems. Some phenomenological potentials are then examined by which light hadron masses may be fitted and remain only marginally relativistic. Moreover, such interactions indicate the necessity for long-range spin dependence and permit the validity of a perturbative approach to be tested.</p> <p>An attempt is made to consistently fit charmonium together with lighter hadrons by using a logarithmic potential and incorporating a perturbative type estimate of the relativistic kinetic energy. It is found that while the vector meson masses are well reproduced the baryonic masses are somewhat overestimated.</p>