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

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

1997-01-04

arxiv.org/abs/nucl-th/9701009v1

Phys.Atom.Nucl. 60 (1997) 1794-1802; Yad.Fiz. 60N11 (1997) 1962-1970

Physics

Nuclear Physics

Nuclear Theory

LaTeX, Submitted to Physics of Atomic Nuclei

Scientific paper

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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