Exact solution of a class of three-body scattering problems in one dimension

Khare, Avinash ; Sukhatme, Uday P. (1998) Exact solution of a class of three-body scattering problems in one dimension Physics Letters A, 241 (1-2). pp. 14-18. ISSN 0375-9601

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03759...

Related URL: http://dx.doi.org/10.1016/S0375-9601(98)00090-5

Abstract

We present an exact solution of the three-body scattering problem for a one-parameter family of one-dimensional potentials containing the Calogero and Wolfes potentials as special limiting cases. The result is an interesting nontrivial relationship between the final momenta p'i and the initial momenta pi of the three particles. We also discuss another one-parameter family of potentials for all of which p'i = -pi (i = 1,2,3).

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ID Code:17708
Deposited On:16 Nov 2010 12:49
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