Reduction of the Bethe-Salpeter equation for the amplitude of the scattering of spin-1 particles to a set of integral equations for invariant functions

Abstract

The Bethe-Salpeter equation for massive spin-1 particles is considered. The amplitude for the scattering of spin-1 particles is expanded in relativistically invariant tensors. The coefficients in the transformation of helicity amplitudes into invariant functions for the scattering amplitude are found. The set of integral equations for these invariant functions is derived, and the partial-wave expansion of this set is performed. An equivalent set of integral equations for partial-wave helicity amplitudes is presented.

Original language	English
Pages (from-to)	856-871
Number of pages	16
Journal	Physics of Atomic Nuclei
Volume	67
Issue number	4
DOIs	https://doi.org/10.1134/1.1707146
Publication status	Published - 1 Apr 2004

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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10.1134/1.1707146

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abstract = "The Bethe-Salpeter equation for massive spin-1 particles is considered. The amplitude for the scattering of spin-1 particles is expanded in relativistically invariant tensors. The coefficients in the transformation of helicity amplitudes into invariant functions for the scattering amplitude are found. The set of integral equations for these invariant functions is derived, and the partial-wave expansion of this set is performed. An equivalent set of integral equations for partial-wave helicity amplitudes is presented.",

author = "Loginov, {A. Yu} and Stibunov, {V. N.}",

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N2 - The Bethe-Salpeter equation for massive spin-1 particles is considered. The amplitude for the scattering of spin-1 particles is expanded in relativistically invariant tensors. The coefficients in the transformation of helicity amplitudes into invariant functions for the scattering amplitude are found. The set of integral equations for these invariant functions is derived, and the partial-wave expansion of this set is performed. An equivalent set of integral equations for partial-wave helicity amplitudes is presented.

AB - The Bethe-Salpeter equation for massive spin-1 particles is considered. The amplitude for the scattering of spin-1 particles is expanded in relativistically invariant tensors. The coefficients in the transformation of helicity amplitudes into invariant functions for the scattering amplitude are found. The set of integral equations for these invariant functions is derived, and the partial-wave expansion of this set is performed. An equivalent set of integral equations for partial-wave helicity amplitudes is presented.

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Reduction of the Bethe-Salpeter equation for the amplitude of the scattering of spin-1 particles to a set of integral equations for invariant functions

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