Spin polarizabilities and characteristics of spin-one hadrons related parity non-conservation in the the Duffin-Kemmer-Petiau formalism

TL;DR

This paper develops a covariant formalism to analyze spin polarizabilities of spin-1 hadrons, revealing new polarizabilities and their role in Compton scattering, consistent with low-energy theorems.

Contribution

It introduces a relativistically invariant tensor approach within the Duffin-Kemmer-Petiau formalism to determine spin polarizabilities of spin-1 particles, including novel characteristics.

Findings

Derived new spin polarizabilities for spin-1 particles.

Established the contribution of these polarizabilities to Compton scattering.

Confirmed consistency with low-energy theorems.

Abstract

In this paper the method of the relativistically-invariant effective tensor representation of Lagrangian decomposition and the amplitudes of the two-photon interaction with hadrons on photon energy is proposed. In the frames Duffin-Kemmer-Petiau formalism based on this method the spin polarizabilities of the spin 1 particles, which are characteristic for the spin 1/2 hadrons were established. Also the authors have obtained the new spin polarizabilities which are characteristic for spin 1 particles and are bounded with the presence of the tensor polarizabilities of these particles. It was shown that in the suggested covariant approach with regard to the crossing symmetry, the spatial parity, conservation laws and gauge invariance definite spin polarizabilities and gyrations of spin-1 particles contribute to the expansion of Compton scattering amplitude, starting from the corresponding orders on photon energy that is in the agreement with low-energy theorems for that process.