Lorentz Structure of Vector Part of Matrix Elements of Transitions n <-> p, Caused by Strong Low-Energy Interactions and Hypothesis of Conservation of Charged Vector Current

Abstract

We analyse the Lorentz structure of the matrix elements of the transitions "neutron <-->proton", induced by the charged hadronic vector current. We show that the term maintaining conservation of the charged hadronic vector current even for different masses of the neutron and proton (see T. Leitner et al., Phys. Rev. C 73, 065502 (2006) and A. M. Ankowski, arXiv:1601.06169 [hep-ph]) has a dynamical origin, related to the G-even first class current contribution. We show that because of invariance of strong low-energy interactions under the G-parity transformations, the G-odd contribution with the Lorentz structure $q_{\mu }$, where $q_{\mu }$ is a momentum transferred, does not appear in the matrix elements of the ``neutron <-> proton' transitions.

12 pages, 1 figures, the paper is revised and accepted for publication in Journal of Physics G: Nuclear and Particle Physics

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• Gauge and Infrared Properties of Hadronic Structure of Nucleon in Neutron Beta Decay to Order O(α/π) in Standard V - A Effective Theory with QED and Linear Sigma Model of Strong Low--Energy Interactions
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