Suppression of Abnormal Solutions below a Critical Coupling Strength in a Spinor-Type Bethe-Salpeter Equation

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概要

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• The Bethe-Salpeter equation for a bound state of a fermion-antifermion system is analyzed in the ladder approximation of a massless vector particle exchange. The system of equations is replaced by a single equation, which reduces to the original ones in the nonrelativistic limit and in the case the mass of the bound state vanishes. It is shown that there exists a critical coupling strength, below which all the spectra (of the coupling constant) are discrete and the appearance of the abnormal solutions is suppressed. Above the critical point, the spectrum of the ground state becomes continuous and the abnormal states with discrete spectra emerge, and also there arises the Goldstein problem.

• 理論物理学刊行会の論文
• 1980-09-25

著者

• Seto Noriaki

  Department Of Applied Mathematics And Phisics Faculty Of Engineering Kyoto University:department Of

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