### 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 |
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Pages (from-to) | 856-871 |

Number of pages | 16 |

Journal | Physics of Atomic Nuclei |

Volume | 67 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1 Apr 2004 |

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### ASJC Scopus subject areas

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

### Cite this

**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.** / Loginov, A. Yu; Stibunov, V. N.

Research output: Contribution to journal › Article

*Physics of Atomic Nuclei*, vol. 67, no. 4, pp. 856-871. https://doi.org/10.1134/1.1707146

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TY - JOUR

T1 - 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

AU - Loginov, A. Yu

AU - Stibunov, V. N.

PY - 2004/4/1

Y1 - 2004/4/1

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.

UR - http://www.scopus.com/inward/record.url?scp=2442642914&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=2442642914&partnerID=8YFLogxK

U2 - 10.1134/1.1707146

DO - 10.1134/1.1707146

M3 - Article

AN - SCOPUS:2442642914

VL - 67

SP - 856

EP - 871

JO - Physics of Atomic Nuclei

JF - Physics of Atomic Nuclei

SN - 1063-7788

IS - 4

ER -