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Solution of two-body relativistic bound state equations with confining plus Coulomb interactionsStudies of meson spectroscopy have often employed a nonrelativistic Coulomb plus Linear Confining potential in position space. However, because the quarks in mesons move at an appreciable fraction of the speed of light, it is necessary to use a relativistic treatment of the bound state problem. Such a treatment is most easily carried out in momentum space. However, the position space Linear and Coulomb potentials lead to singular kernels in momentum space. Using a subtraction procedure we show how to remove these singularities exactly and thereby solve the Schroedinger equation in momentum space for all partial waves. Furthermore, we generalize the Linear and Coulomb potentials to relativistic kernels in four dimensional momentum space. Again we use a subtraction procedure to remove the relativistic singularities exactly for all partial waves. This enables us to solve three dimensional reductions of the Bethe-Salpeter equation. We solve six such equations for Coulomb plus Confining interactions for all partial waves.
Document ID
19920020760
Acquisition Source
Legacy CDMS
Document Type
Other
Authors
Maung, Khin Maung (Hampton Inst. VA., United States)
Kahana, David E. (Continuous Electron Beam Accelerator Facility Newport New, VA., United States)
Norbury, John W. (Rider Coll. Lawrenceville, NJ, United States)
Date Acquired
September 6, 2013
Publication Date
January 1, 1992
Publication Information
Publication: Electromagnetic Processes in Nucleus-Nucleus Collisions Relating to Space Radiation Research
Subject Category
Atomic And Molecular Physics
Accession Number
92N30003
Funding Number(s)
CONTRACT_GRANT: NAG1-1134
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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