The Spinless Salpeter equation as a simple matrix eigenvalue problem
Aug, 199113 pages
Published in:
- Phys.Rev.D 45 (1992) 1233-1239
Report number:
- HEPHY-PUB-557-91,
- UWTHPH-1991-37
Citations per year
Abstract: (APS)
We propose a new method for solving the spinless Salpeter equation. Choosing a special set of orthonormal basis functions we are able to calculate analytically the integral over the corresponding kernel as well as the matrix elements of a class of potentials. In this way the problem can be reduced to the solution of a simple matrix eigenvalue problem with explicitly known matrices, which can be solved very fast numerically. The method is demonstrated in detail for S waves using a typical interquark potential as an example.- Bethe-Salpeter equation: spinless
- spinless: Bethe-Salpeter equation
- Bethe-Salpeter equation: solution
- quark antiquark: potential
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