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Chiral quark-meson model of N and. delta. with vector mesons

Thesis/Dissertation ·
OSTI ID:7192084

This thesis presents a chiral model of the nucleon and delta in which three valence quarks interact via the exchange of scalar and vector mesons. The main topics addressed are: (1) the justification of the model from QCD, (2) the resulting phenomenology of N and ..delta.., and (3) the analysis of the classical stability of the system. A fully self-consistent solution to the model is obtained. It is found that the vector mesons play a very important role in the system, contributing significantly to the values of observables. The result for the physical properties of N and ..delta.. are improved very much compared to a similar model without vector mesons. The author analyzes the classical stability of the system with respect to excitations within the hedgehog ansatz. For this purpose Quark-Meson RPA equations are solved numerically. It is shown that the solution representing N and ..delta.. is stable. It is also found that the stable solution exists only for a limited range of parameters. This provides both upper and lower bounds for the values of the coupling constants.

Research Organization:
Maryland Univ., College Park (USA)
OSTI ID:
7192084
Country of Publication:
United States
Language:
English