Prog. Theor. Phys. Vol. 43 No. 4 (1970) pp. 1035-1049
Zero-Energy Bound States of Two Dirac Particles
— On the Properties of Eigenvalue Spectra of the O(4) Families
Department of Physics, Kinki University, Higashi-Osaka, Osaka
(Received July 14, 1969)
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 using 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 off-shell 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.
DOI : 10.1143/PTP.43.1035
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Citing Article(s) :
Progress of Theoretical Physics Vol. 55 No. 5 (1976) pp. 1591-1605
Solutions of the Spinor-Spinor Bethe-Salpeter Equation in the Scalar-Vector Sector
Progress of Theoretical Physics Vol. 70 No. 2 (1983) pp. 499-510
Relativistic Quarkonium Model
Progress of Theoretical Physics Supplement No.95 (1988) pp. 25-45
Review of the Spinor-Spinor Bethe-Salpeter Equation