Quark Model Matrix Elements with AN Arbitrary Number of Colors.
Abstract
Matrix elements have been calculated in the Naive Quark Model using an arbitrary number of colors. All of the magnetic moments and ElectroWeak Hamiltonian matrix elements have been calculated for the octet and decouplet of baryons. The ratio of weak charges (^ {rm g}_{rm a}/ ^{rm g}_{rm v}) has also been calculated for various decays among the octet and decouplet of baryons. The results have been tabulated and evaluated for both the physical case of three colors and the limit of a large number of colors. The results show that only a few matrix elements are independent of the number of colors, although appropriate combinations of results are independent of the number of colors. An Angular Momentum Graph Theory has been developed in enough detail to allow its continued use in problems which involve complicated spin coupling arrangements. There is a thorough set of appendices which include details of the Angular Momentum Graph Theory, an explicit listing of the wavefunctions which were used, and the details of all of the calculations.
 Publication:

Ph.D. Thesis
 Pub Date:
 1989
 Bibcode:
 1989PhDT........74K
 Keywords:

 Physics: Elementary Particles and High Energy