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Effect of orbiting resonance on the elastic differential cross sections

✍ Scribed by S. H. Sheen; J. G. Skofronick; C. R. Mueller


Publisher
John Wiley and Sons
Year
1975
Tongue
English
Weight
342 KB
Volume
9
Category
Article
ISSN
0020-7608

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✦ Synopsis


Abstract

The effects of orbiting resonances on elastic differential cross sections are investigated for the Lennard‐Jones (12, 6) model potential. The elastic differential cross section consists of three terms: a resonance term, a potential scattering term and an interference term. The interference term has a significant effect only at small angles of the differential cross section. The importance of the potential scattering term depends proportionally upon the orbiting resonance energy. For the low‐lying orbiting resonance states, the resonance term is the dominant term, but at higher energy it appears only in the backward differential cross sections. Generally, by fitting the large angle differential cross sections, the resonance orbital angular momentum can be estimated.


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We derive improved axiomatic upper bounds on the elastic unpolarized differential cross section, do/do, at high energies for the scattering of particles with arbitrary spin. We prove that da x ,5m s {CL + 1)VdCOS e)]" + sin28[Pr'(cos @]z}, with I. = fr 1/x In @/ueL), where s and t are, respectively,