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On the low energy behavior of Regge poles

Hiscox, Aaron Joseph, Brown, Brian Malcolm and Marletta, Marco 2010. On the low energy behavior of Regge poles. Journal of Mathematical Physics 51 (10) , 102104. 10.1063/1.3496811

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Abstract

We investigate the behavior of Regge poles in the low energy limit. With the use of small argument asymptotics of the spherical Hankel functions, we show that for a finite square well potential, the associated Regge poles tend to the spectral points of the limiting self-adjoint problem. This is generalized to a compactly supported potential by applying a resolvent argument to the difference of the nonzero and zero energy wavefunctions. Furthermore, by an integral equation method we prove analogous results for a potential such that |(1+r)U(r)| is integrable. This confirms the experimental results which show that Regge poles formed during low energy electron elastic scattering become stable bound states.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Computer Science & Informatics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: bound states; Hankel transforms; integral equations; molecule-electron collisions; Regge poles; wave functions
Additional Information: 13 pp.
Publisher: American Institute of Physics
ISSN: 0022-2488
Last Modified: 05 Feb 2020 20:39
URI: http://orca-mwe.cf.ac.uk/id/eprint/18608

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