Jun Otokozawa

Large t Limit of Compton Scattering of a Scalar Photon by a Scalar Nucleon in Perturbation Expansion

Ladder diagrams for Compton scattering of a massless scalar photon by a scalar nucleon are evaluated in the large t limit. The leading term in the 2n-th order is found to be (ln t) 2n-2/t, compared to (ln t)n-ljt for the case of scattering of two scalar particles of finite masses. In terms of partial waves, the 2n-th order diagram gives a leading singularity 1/ (l + 1) 2n-l at l = -1, compared to 1/ (l + 1) n for the finite mass case. Regge poles generated by summing ladder diagrams and the corresponding large t behavior are discussed.