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Instantaneous Bethe-Salpeter equation: improved analytical solution

High Energy Physics - Phenomenology 2009-11-07 v1 Nuclear Theory Quantum Physics

Abstract

Studying the Bethe-Salpeter formalism for interactions instantaneous in the rest frame of the bound states described, we show that, for bound-state constituents of arbitrary masses, the mass of the ground state of a given spin may be calculated almost entirely analytically with high accuracy, without the (numerical) diagonalization of the matrix representation obtained by expansion of the solutions over a suitable set of basis states.

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Cite

@article{arxiv.hep-ph/0109165,
  title  = {Instantaneous Bethe-Salpeter equation: improved analytical solution},
  author = {Wolfgang Lucha and F. F. Schoberl},
  journal= {arXiv preprint arXiv:hep-ph/0109165},
  year   = {2009}
}

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7 pages