Amplitude of computon scattering on hadrons of spin $1$ with account of spin polarizables

Within the framework of the Duffin–Kemmer–Petu formalism the Lagrangians of two-photon interactions with spin $1$ hadrons are obtained in covariant form, taking into account the spin-new polarizabilities that are characteristic of spin $1/2$ particles. On the basis of these Lagrangians, the covariant spin structures of the Compton scattering amplitude for spin $1$ hadrons have been calculated. It is established that in the low-energy approximation the spin polarizabilities contribute to the Compton scattering amplitude in third order in the photon energy. The tensor-covariant structures of the forward scattering amplitude that contribute to the spin polarizabilities of spin $1$ hadrons are determined.