Covariant equations of the pion interaction with the electromagnetic field in the formalism Duffin-Kemmer. Vakulina E.V., I.G. Petrovsky Bryansk State.

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Covariant equations of the pion interaction with the electromagnetic field in the formalism Duffin-Kemmer. Vakulina E.V., I.G. Petrovsky Bryansk State University, Russia Maksimenko N.V. Gomel State University, Physics Department, Gomel, Belarus. XII-th International School-Seminar «The Actual Problems of Microworld Physics» July 22 – August 2, 2013 Homel, Belarus’

1.Carlson, C.E. Constraining off-shell effects using low-energy Compton scattering / C.E. Carlson, M. Vanderhaeghen // [Electronic resource]. – – Mode of access: 2. Birse, M.C. Proton polarisability contribution to the Lamb shift in mnonic hydrogen at fourth order in chiral perturbation theory / M.C. Birse, J.A. McGovern // [Electronic resource]. – – Mode of access: hep-ph/ Moroz, L.G. Scattering matrix taking into account the interaction Pauli / L.G. Moroz, F.I. Fedorov // ZhETF. – – 39. – Vol. 2. – P Maksimenko, N.V. Polarizability and gyration elementary particles / N.V. Maksimenko, L.G. Moroz // Problems of atomic science and technology. Series: General and nuclear physics. – – № 4(10). – P Levchuk, M.I. The nucleon gyration as one of nucleon electromagnetic structure characteristics / M.I. Levchuk, L.G. Moroz // Proc. Academy of Sciences of BSSR. Ser. fiz.-mat. navuk. – – № 1. – P

Using a relativistic field-theoretic properties of the fields in the formalism of the Duffin-Kemmer may establish new structural properties of the polarizabilities of the particles [ Maksimenko, N.V. Covariant determination of the polarizability of hadrons with spin one / N.V. Maksimenko // Proc. Academy of Sciences of BSSR. Ser. fiz.-mat. navuk. – – Т. 36. – № 6. – С ] Duffin-Kemmer for free scalar particles are:

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Conclusion In the formalism of the Duffin-Kemmer on the basis of the principle of gauge invariance defined in covariant form of the Lagrangian and the equation of motion of the pion in the electromagnetic field, taking account of its electric and magnetic polarizabilities. On the basis of the solution of the pion interaction with the electromagnetic field produced by the method of Green's function is defined amplitude of Compton scattering, taking into account the impact and polarizabilities of the pion. It is shown that the covariant formalism developed by Lagrange interaction of low-energy photons from the pion is consistent with the low-energy theorem of Compton scattering.