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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 156, Number 1, Pages 112–130
DOI: https://doi.org/10.4213/tmf6233 (Mi tmf6233) 		 
Structure of regular solutions of Faddeev equations near the pair impact point

V. V. Pupyshev

Joint Institute for Nuclear Research
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DOI: https://doi.org/10.4213/tmf6233
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.
Keywords: three-particle problem, differential Faddeev equation, regular solution, pair impact point.
Received: 29.03.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 156, Issue 1, Pages 1058–1074
DOI: https://doi.org/10.1007/s11232-008-0098-4
Bibliographic databases:
Language: Russian
Citation: V. V. Pupyshev, “Structure of regular solutions of Faddeev equations near the pair impact point”, TMF, 156:1 (2008), 112–130; Theoret. and Math. Phys., 156:1 (2008), 1058–1074
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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