English

$^7$H ground state as a $^3$H+4n resonance

Nuclear Theory 2022-09-05 v1 High Energy Physics - Phenomenology Nuclear Experiment

Abstract

We have investigated the possible existence of a 7^7H resonant state, considered as a five-body system consisting of a 3^3H core with four valence neutrons. To this aim, an effective n-3^3H potential is constructed in order to reproduce the low energy elastic neutron scattering on 3^3H phase shifts and the 5^5H resonant ground state in terms of 3^3H-n-n system. The variational Gaussian Expansion Method is used to solve the 5-body Schr\"{o}dinger equation, while the resonant state parameters were estimated by means of the stabilization method. We have not found any sign of a narrow low energy resonance in the vicinity of 3^3H+4n threshold. However, we have identified a very broad structure at ER9E_R\approx 9 MeV above this threshold, which corresponds to the 7^7H Jπ^{\pi}=1/2+^+ ground state. In the vicinity of this state, we have also identified a broad structure corresponding to the ground state of 6^6H isotope with quantum numbers Jπ=2J^{\pi}=2^-.

Keywords

Cite

@article{arxiv.2207.04634,
  title  = {$^7$H ground state as a $^3$H+4n resonance},
  author = {Emiko Hiyama and Rimantas Lazauskas and Jaume Carbonell},
  journal= {arXiv preprint arXiv:2207.04634},
  year   = {2022}
}

Comments

15 pages, 9 figures