Solutions of the Faddeev-Yakubovsky equations for the four nucleons scattering states

Details Solutions of the Faddeev-Yakubovsky equations for the four nucleons scattering states Solutions of the Faddeev-Yakubovsky equations for the four nucleons scattering states

1998-04-16

arxiv.org/abs/nucl-th/9804031v2

Phys.Rev.C58:58-74,1998

Physics

Nuclear Physics

Nuclear Theory

latex.tar.gz, 36 pages, 10 figures, 11 tables. To be published in Physical Review C

Scientific paper

10.1103/PhysRevC.58.58

The Faddeev-Yakubowsky equations in configuration space have been solved for the four nucleon system. The results with an S-wave interaction model in the isospin approximation are presented. They concern the bound and scattering states below the first three-body threshold. The elastic phase-shifts for the N+NNN reaction in different ($S,T$) channels are given and the corresponding low energy expansions are discussed. Particular attention is payed to the n+t elastic cross section. Its resonant structure is well described in terms of a simple NN interaction. First results concerning the S-matrix for the coupled N+NNN-NN+NN channels and the strong deuteron-deuteron scattering length are obtained.

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