A Regge-pole formula is derived for the elastic scattering of two unequal-mass particles that combines desirable -plane analytic properties (i.e., a simple pole at in the right-half plane) and Mandelstam analyticity. It is verified that such a formula possesses the standard asymptotic Regge behavior even in regions where the cosine of the scattering angle of the relevant crossed reaction may be bounded. The simultaneous requirements of -plane and Mandelstam analyticity enforce important constraints, and the consistency of these constraints is studied. These considerations lead to the appearance of a "background" term proportional asymptotically to which has no analog in the equal-mass problem. We also conclude that a necessary condition for consistency is .
- Received 27 May 1966
- Published in the issue dated October 1966
© 1966 The American Physical Society