Zero-Energy Bound States of Two Dirac Particles : On the Properties of Eigenvalue Spectra of the O(4) Families
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Zero-energy bound states of two equal-mass Dirac particles, including particle-particle and particle-antiparticle systems, are classified into eight O(4) families, four of which are peculiar to the off-shell amplitude (they do not appear as the poles of the on-shell scattering amplitude). The properties of eigenvalue spectrum of each family are examined by ucing the Bethe-Salpeter equation. The ladder approximation of the scalar, pseudo-scalar, vector and axial-vector meson exchange is assumed there. It is shown that the equations for the families peculiar to the offshell amplitude are reduced to the Goldstein-type ones and therefore these families have only the continuous spectrum. They may be regarded as unphysical for kinematical reason. The discrete spectra are found in the remaining four families.
- 理論物理学刊行会の論文
- 1970-04-25
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