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Exact Solution of a Class of Three-Body Scattering Problems in One dimension

Avinash Khare, Uday P. Sukhatme

quant-pharXiv:quant-ph/9802050

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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