A Novel Approach in Solving the Spinor-Spinor Bethe-Salpeter Equation

Details A Novel Approach in Solving the Spinor-Spinor Bethe-Salpeter Equation A Novel Approach in Solving the Spinor-Spinor Bethe-Salpeter Equation

2008-12-24

arxiv.org/abs/0812.4532v1

Physics

Nuclear Physics

Nuclear Theory

8 pages, 3 figures, Talk given at XIX Int. Baldin Seminar "Relativistic Nuclear Physics and Quantum Chromodynamics", Sept. 29-

Scientific paper

To solve the spinor-spinor Bethe-Salpeter equation in Euclidean space we propose a novel method related to the use of hyperspherical harmonics. We suggest an appropriate extension to form a new basis of spin-angular harmonics that is suitable for a representation of the vertex functions. We present a numerical algorithm to solve the Bethe-Salpeter equation and investigate in detail the properties of the solution for the scalar, pseudoscalar and vector meson exchange kernels including the stability of bound states. We also compare our results to the non relativistic ones and to the results given by light front dynamics.

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