Meson Spectra with the Linear Plus Coulombic Potential in Relativistic Equations.
Abstract
In this dissertation we solve the Dirac equation for a scalar longrange linear plus a shortrange Coulombic potential, by transforming the equation into a Schrodinger like equation for the small and large components. The equation of the large component is solved numerically by the WKB method. The results are satisfactory for charmonium and upsilon systems, but not for the light mesons. A more desirable equation, the BetheSalpeter equation, which is a relativistic equation for twobody systems, is reviewed and solved in the framework of the ladder approximation numerically using the method of RungeKutta. The interaction potential which we used is the same as the potential used in the Dirac equation. The mass spectra for various q q is obtained. We find that it is possible to describe the heavy as well as the light mesons by a unified, flavor independent potential.
 Publication:

Ph.D. Thesis
 Pub Date:
 1982
 Bibcode:
 1982PhDT........45A
 Keywords:

 Physics: Elementary Particles and High Energy