Date of Award
Master of Science (MS)
Professor Y. Nogami
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.
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.
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.
Cohler, Lucien Eugene, "Hadron masses and the non-relativistic quark model" (1980). Open Access Dissertations and Theses. Paper 238.