A small parameter approach for few-body problems

Abstract

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.

17 pages, 1 figure

References in corpus (4)

• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• Calculation of the Alpha--Particle Ground State within the Hyperspherical Harmonic Basis
• Variational Calculation on A=3 and 4 Nuclei with Non-Local Potentials
• Case study: calculation of a narrow resonance with the LIT method