Symmetries of the Bethe-Salpeter equation for relativistic bound-state problem

Biswas, S. N. (1967) Symmetries of the Bethe-Salpeter equation for relativistic bound-state problem Journal of Mathematical Physics, 8 (5). pp. 1109-1111. ISSN 0022-2488

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Official URL: http://link.aip.org/link/jmapaq/v8/i5/p1109/s1

Related URL: http://dx.doi.org/10.1063/1.1705324

Abstract

Possible dynamical symmetries of the Bethe-Salpeter equation in the ladder approximation for the bound state of two neutral scalar mesons interacting via a massless scalar boson have been investigated. It is shown that the Bethe-Salpeter equation exhibits an O(5) or O(4) symmetry according as E, the total energy of the system, is zero or nonvanishing and the corresponding no-invariance group being O(5, 1) when E = 0 and the O(5, 1) spectrum splits into Σ⊕ O(4, 1) when E ≠ 0 as pointed out by Salam et al. The method employed here differs from that of Cutkosky and of Salam et al.

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