Two-Fermion Bound States within the Bethe-Salpeter Approach

Details Two-Fermion Bound States within the Bethe-Salpeter Approach Two-Fermion Bound States within the Bethe-Salpeter Approach

2007-08-16

arxiv.org/abs/0708.2146v1

FewBodySyst.42:1-32,2008

Physics

Nuclear Physics

Nuclear Theory

32 pages, XIII Tables, 8 figures

Scientific paper

10.1007/s00601-008-0196-8

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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