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

Avinash Khare·Uday P. Sukhatme
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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 $p_i$ of the three particles. We also discuss another one parameter family of potentials for all of which $p'_i=-p_i~(i=1,2,3)$.

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Avinash Khare, Uday P. Sukhatme. 1998-02-19. Exact Solution of a Class of Three-Body Scattering Problems in One dimension. https://doi.org/10.1016/s0375-9601(98)00090-5

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