Resonance model for the three-body states of the A=6 reactions

Mark W Paris,Gerald M Hale

doi:10.1051/epjconf/201611303002

Abstract

We present an R -matrix-based model for three-body final states that has aspects of the Faddeev approach to three-particle scattering. The model is applied to describing the nucleon spectra for breakup reactions in the A = 6 systems. Calculations using a charge-symmetric parametrization agree fairly well with the experimental data, although they indicate larger contributions from the 5 He or 5 Li ground state are necessary.

Highlights

There has been much interest and experimental activity lately at ICF facilities, such as OMEGA at the U. of Rochester, and the NIF at Livermore, to measure the particle spectra from three-body breakup reactions initiated by the laser implosion of capsules containing tritium (t =3H), 3He, or a mixture of the two
The section gives a brief introduction to the concepts of R-matrix theory and summarizes the resonance model, in which the T matrix is expressed as the sum of three Faddeev-like components
The pair-wise interactions in the final state are treated as in the Faddeev approach to three-particle scattering, but in these applications to the A = 6 systems, the initial state cannot be formed from a bound state of any pair of particles in the final state, as is required by the Faddeev theory

Summary

Introduction

There has been much interest and experimental activity lately at ICF facilities, such as OMEGA at the U. of Rochester, and the NIF at Livermore, to measure the particle spectra from three-body breakup reactions initiated by the laser implosion of capsules containing tritium (t =3H), 3He, or a mixture of the two. When specialized to the case of single-level terms, these expressions form the basis of our present model, which is similar to that of Brune et al [1], but differs from it in detail These calculations use charge-symmetric (CS) parameters for the quantities dominated by nuclear forces, but take into account the Coulomb differences in the resonant sub-systems.

R-matrix based resonance model

Conclusions and outlook