Study of $n+{}^3$H, $p+{}^3$He, $p+{}^3$H, and $n+{}^3$He scattering with the HH method

M. Viviani; L. Girlanda; A. Kievsky; L. E. Marcucci

Study of $n+{}^3$H, $p+{}^3$He, $p+{}^3$H, and $n+{}^3$He scattering with the HH method

Nuclear Theory 2020-04-01 v1

Authors: M. Viviani , L. Girlanda , A. Kievsky , L. E. Marcucci

Abstract

The $n+{}^3$ H, $p+{}^3$ He, $p+{}^3$ H, and $n+{}^3$ He elastic and charge exchange reactions at low energies are studied by means of the hyperspherical harmonic method. The considered nuclear Hamiltonians include modern two- and three-nucleon interactions, in particular results are reported in case of chiral two-nucleon potentials, with and without the inclusion of chiral three-nucleon (3N) interactions. A detailed study of the convergence and numerical stability of the method is presented. We have found that the effect the 3N force is in general tiny except for $p+{}^3$ H scattering below the opening of the $n+{}^3$ He channel. In such a case, the effect of 3N forces is appreciable and a clear dependence on the cutoff used to regularize the high-momentum tail of the interactions is observed. Such a dependence is related to the presence of the poorly known sharp $0^+$ resonance, considered to be the first excited state of ${}^4$ He.

Keywords

hyperspherical harmonic method elastic scattering charge exchange reaction three-nucleon interaction chiral potential

Cite

@article{arxiv.2003.14059,
  title  = {Study of $n+{}^3$H, $p+{}^3$He, $p+{}^3$H, and $n+{}^3$He scattering with the HH method},
  author = {M. Viviani and L. Girlanda and A. Kievsky and L. E. Marcucci},
  journal= {arXiv preprint arXiv:2003.14059},
  year   = {2020}
}

Comments

33 pages, 15 figures

Study of $n+{}^3$H, $p+{}^3$He, $p+{}^3$H, and $n+{}^3$He scattering with the HH method

Abstract

Keywords

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