Three-particle unitarity in potential scattering

Mitra, A. N. (1963) Three-particle unitarity in potential scattering Physical Review (Series 1 and 2), 131 (2). pp. 832-834. ISSN 0031-899X

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A three-particle wave function arising out of a Schrodinger equation with two-body potentials is considered. For simplicity in analysis, the potentials are taken to be of the nonlocal separable type. It is found that at bound-state energies of a three-particle system, the "phase" of the three-particle amplitude is not equal to that of a pair of its members whose relative energy allows them to be in a physical scattering state. This result disagrees with the prediction of a "multiplicative" three-particle structure suggested by Blankenbecler, according to which these two phases are necessarily equal.

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Source:Copyright of this article belongs to The American Physical Society.
ID Code:34633
Deposited On:05 Jul 2011 10:41
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