Abstract

Four-nucleon reactions above the breakup threshold are described by solving Faddeev-Yakubovsky equations for the realistic nuclear Hamiltonians. Complex-scaling method is applied in order to simplify the boundary conditions.

Highlights

  • The accurate description of nuclear interaction remains one of the most important challenges of nuclear physics. The success of this enterprize strongly depends on the ability to provide accurate numerical tools, which could test modern nuclear interaction models in describing nuclear reactions

  • A proper formalism of three-particle reactions has been introduced by Faddeev in 1961 [1] and few years later generalized by Yakubovsky [2] to any number of particles

  • It is quite obvious that a direct approach based on the explicit treatment of boundary conditions becomes overcomplex already for the systems containing more than three particles

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Summary

Introduction

The accurate description of nuclear interaction remains one of the most important challenges of nuclear physics. A formalism [3], which combines Faddeev-Yakubovsky (FY) equations [2] and complex scaling method [4], has been developed in order to solve three- and four-body scattering problems above the three-particle breakup threshold. This formalism relies on trivial boundary conditions, is easy to handle but still provides accurate results [3]. In this manuscript the latest developments in the four-nucleon sector are reviewed. This includes calculations for n-3H and p-3He scattering above the three- and four-nucleon breakup thresholds

The formalism
These components are the solutions of the inhomogeneous FY equations:
Selected results
Full Text
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