A small parameter approach for few-body problems

Details A small parameter approach for few-body problems A small parameter approach for few-body problems

2009-07-05

arxiv.org/abs/0907.0841v1

Phys.Atom.Nucl.72:1099-1106,2009

Physics

Nuclear Physics

Nuclear Theory

17 pages, 1 figure

Scientific paper

10.1134/S1063778809070023

A procedure to solve few-body problems is developed which is based on an expansion over a small parameter. The parameter is the ratio of potential energy to kinetic energy for states having not small hyperspherical quantum numbers, K>K_0. Dynamic equations are reduced perturbatively to equations in the finite-dimension subspace with K\le K_0. Contributions from states with K>K_0 are taken into account in a closed form, i.e. without an expansion over basis functions. Estimates on efficiency of the approach are presented.

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