Prog. Theor. Phys. Vol. 41 No. 4 (1969) pp. 1041-1045
Branch Cut Contributions to Backward Unequal-Mass Scattering Processes
Department of Physics and Atomic Energy, Research Institute, College of Science and Engineering, Nihon University, Tokyo
(Received November 14, 1968)
We examine the contributions of moving branch point αc (u) in the l-plane to the backward unequal-mass scattering amplitude. It is shown that Khuri amplitudes b(u, ν) and c(u, ν) have cuts starting from ν= αc - k, Reν> - ½. The defect of Regge representation owing to unequal-mass kinematics is remedied by introducing the daughter branch point trajectories αcn (u), satisfying αcn (0) = αc0 (0) - n, of signature (-1)n. The asymptotic form of cut contributions is tαc(ln
t) -ξ- 1.
DOI : 10.1143/PTP.41.1041
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Citing Article(s) :
Progress of Theoretical Physics Vol. 44 No. 5 (1970) pp. 1307-1311
Regge Pole Theory and Unitarity