Analytic properties of partial wave amplitudes and asymptotic behaviour of scattering amplitude
Abstract
Taking into account the simplest non-elastic channels in the unitary condition it is shown that partial wave amplitudes as functions of the momentum can have only poles and singularities the position of which does not depend on energy. If this result is assumed to be valid in the general case, it will follow therefrom that the asymptotic behaviour of scattering amplitudes at high energies either leads to a slowly falling cross section 2) or has the character discussed in ref. 3).
- Publication:
-
Nuclear Physics
- Pub Date:
- February 1963
- DOI:
- 10.1016/0029-5582(63)90256-6
- Bibcode:
- 1963NucPh..40..107G