A Relativistic Quark Model with Harmonic Dynamics

Citation

Ravndal, Finn (1971) A Relativistic Quark Model with Harmonic Dynamics. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/XRTB-V265. https://resolver.caltech.edu/CaltechETD:etd-05022005-085218

Abstract

NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document. A relativistic equation to represent the symmetric quark model of hadrons with harmonic interaction is constructed. This gives straight and parallel Regge trajectories and a hadron spectrum which easily can accommodate all known resonances. From the equation we derive vector and axial vector currents for baryons and mesons. The vector current matrix elements of baryons are compared to known magnetic moments, photoproduction amplitudes and inelastic electron proton cross sections. Good agreement is obtained when the theoretical results are modified by an empirical form factor. Besides this form factor, the results depend on no free parameters. Using the same form factor, we calculate radiative decay rates of vector mesons and parameters of K[...] decay, which agree fairly well with experiment. Assuming that the amplitude for emission of a pseudoscalar meson from a hadron is proportional to the divergence of the axial vector current, we calculate most of the known strong decay rates. These results depend on one new coupling constant and a smooth, empirical form factor. More than half of the calculated baryon rates agree well with experiment. The reasons for the many disagreements are discussed. All except one of the meson rates come out close to their experimental values. The angular distributions of the decay B(1235) [...] and A[...](1070) [...] are well described in this model.

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