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

1997/01/09 by S. L. Yakovlev, Yakovlev, S. L., I. N. Filikhin +2 · 1 citation
Mathematics · Physics and Astronomy · #Differential Equations and Numerical Methods #FOS: Physical sciences #Nuclear Theory (nucl-th) #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/9701020

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

openalex publication_date 1997/01/09 · arxiv created 1997/01/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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