Scattering from non-overlapping potentials. I — General formulation: Dan Agassi. Department of Nuclear Physics, The Weizmann Institute of Science, Rehovot and Avraham Gal. Racah Institute of Physics, The Hebrew University of Jerusalem

• Publisher: Elsevier Science
• Year: 1972
• Tongue: English
• Weight: 85 KB
• Volume: 74
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(72)90158-3

✦ Synopsis

Unitarity in all three channels for the TN system is used to show that a) one can, given the first LrrN partial waves and the 7dv total cross-sections, extrapolate to find the RN -+ 71~ waves, the whole amplitude, and the ?rN waves, in the unphysical regions; and this within absolute error bands, and b) from either of those quantities, we construct Pad& approximants which are then shown to converge to the cuts (4pa < t 5 2M2) again here within an explicit error band. It is shown that the method is stable under perturbations, giving also the explicit form in which such perturbations propagate. The analysis is carried first for amplitudes with positivity, and then extended to any amplitude. This paper is the first of a series, and only the theory is presented.