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

S. L. Yakovlev·I. N. Filikhin
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Abstract

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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S. L. Yakovlev, I. N. Filikhin. 1997-01-22. Calculations of scattering lengths in four-nucleon system on the basis of cluster reduction method for Yakubovsky equations. https://arxiv.org/abs/nucl-th/9701020

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