THE ANALYTIC STRUCTURE OF PARTIAL WAVE AMPLITUDES FOR PRODUCTION AND DECAY PROCESSES
A model theory for studying overlapping final state interaction effects in 3-body production and decay amplitudes is considered. The model is given in terms of dispersion relations similar to those given by Khuri and Treiman for the process K yields 3 pi . The partial wave projections are extended into the complex plane, and their analytic properties are determined, giving expiicitly a set of cuts and discontinuities. These consist of the usual right hand cut with normal discontinuity, together with a left-hand'' cut for which the discontinuity is expressed as an integral over the projections. The right hand cut can be factored out in the usual way, and thus one can hope to obtain the solution by iteration for the left hand cut contribution. (auth)
- Research Organization:
- Columbia Univ., New York
- DOE Contract Number:
- AT(30-1)-1934
- NSA Number:
- NSA-17-031288
- OSTI ID:
- 4699733
- Report Number(s):
- TID-19083
- Resource Relation:
- Other Information: Orig. Receipt Date: 31-DEC-63
- Country of Publication:
- United States
- Language:
- English
Similar Records
THE KHURI-TREIMAN REPRESENTATION AND PERTURBATION THEORY
OVERLAPPING RESONANCES IN DISPERSION THEORY