Calculations of scattering lengths in four-nucleon system on the basis of cluster reduction method for Yakubovsky equations

Details Calculations of scattering lengths in four-nucleon system on the basis of cluster reduction method for Yakubovsky equations Calculations of scattering lengths in four-nucleon system on the basis of cluster reduction method for Yakubovsky equations

1997-01-09

arxiv.org/abs/nucl-th/9701020v2

Physics

Nuclear Physics

Nuclear Theory

LaTeX, 18.4 Kb, Submitted to Physics of Atomic Nuclei. (Revised version)

Scientific paper

The cluster reduction method for the Yakubovsky equations in configuration space is used for calculations of zero-energy scattering in four-nucleon system. The main idea of the method consists in making use of expansions for the Yakubovsky amplitudes onto the basis of the Faddeev components for the two-cluster sub-Hamiltonian eigenfunctions. The expansions reduce the original equations to ones for the functions depending on the relative coordinates between the clusters. On the basis of the resulting equations the N-(NNN) zero-energy scattering problems are solved numerically with the MT I-III model for N-N forces and neglecting the Coulomb interaction between protons.

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