Structure of regular solutions of Faddeev equations near the pair impact point |
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Authors: | V V Pupyshev |
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Institution: | (1) Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia |
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Abstract: | We study the two-and three-dimensional Faddeev equations for a three-particle system with central or S-wave pair interactions.
The regular solutions of such equations are represented as infinite series in integer powers of the distance between two particles
and the sought functions of the other three-particle coordinates. Constructing such functions reduces to solving algebraic
recurrence relations. We derive the boundary conditions at the pair impact point for the regular solutions of the Faddeev
equations.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 156, No. 1, pp. 112–130, July, 2008. |
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Keywords: | three-particle problem differential Faddeev equation regular solution pair impact point |
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