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Cluster reduction of the four-body Yakubovsky equations in configuration space for bound-state problem and low-energy scattering

1997/01/04 by S. L. Yakovlev, I. N. Filikhin
Physics and Astronomy · #nucl-th

paper · pdf

published as Phys.Atom.Nucl. 60 (1997) 1794-1802; Yad.Fiz. 60N11 (1997) 1962-1970 · LaTeX, Submitted to Physics of Atomic Nuclei

arxiv created 1997/01/04 · arxiv updated 2009/12/01

Abstract

A method using an expansion of the four-body Yakubovsky wave function components onto the basis of the Faddeev-equation solutions for the two-cluster sub-Hamiltonian eigenfunctions is proposed. This expansion reduces the Yakubovsky differential equations to a system of coupled-channel equations for functions depending on the relative coordinates between the subsystems of the two-cluster partitions. On the basis of the resulting equations the four-nucleon bound-state problem and the zero-energy n-t scattering problem are solved on the relatively small computer.

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