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Title: Potential models of relativistic quark-antiquark bound states

Thesis/Dissertation ·
OSTI ID:5879971

The author presents and tests two new methods for the numerical solution of a Salpeter equation describing the relativistic bound states of a quark and antiquark. His methods work directly in position space, and hence have the desirable features that he can vary the potential V(r) locally in fitting the quark-antiquark mass spectrum, and can easily build in the expected Coulombic and linear behavior of V(r) for r ..-->.. 0, infinity respectively. One of the methods is applied in spin-averaged relativistic potential-model fits of the observed meson spectrum, with good results. The author presents a method of treating the running Coulomb coupling ..cap alpha../sub s/(r), in conjunction with these fits. The dominant spin-independent terms which generate nonlocal interactions are included in the fits and the necessary formalism is derived to carry out the full spin-dependent analysis.

Research Organization:
Wisconsin Univ., Madison (USA)
OSTI ID:
5879971
Resource Relation:
Other Information: Thesis (Ph. D.)
Country of Publication:
United States
Language:
English