Abstract

New low-energy theorems for Compton scattering on targets of arbitarary spin are derived. The second-order (in photon energy ω) low-energy theorems derived in the previous paper for spin-1 targets are shown to be valid for targets of any spin, provided we interpret the spin operatorS for spin 1 in these theorems as the spin operator for any spin. Third-order low-energy theorems are derived. It is shown that the amplitudes are determined to the third order in ω by the electric charge, the dipole magnetic moment, the quadrupole electric moment, the octupole magnetic moment, and ten structure-dependent constants. Our method can be used to derive higher-order low-energy theorems.

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