SS-HORSE Extension of the No-Core Shell Model: Application to Resonances in ${}^7\mathrm{H}e$

Abstract

Theoretical ab initio studies of resonances in the unbound ${}^7\mathrm{He}$ nucleus are presented. We perform no-core shell model calculations with $NN$ interactions Daejeon16 and JISP16 and utilize the SS-HORSE method to calculate the $S$ matrix for two-body channels $n-{}^6\mathrm{He}$ and $n-{}^6\mathrm{H}{\mathrm{e}}^{\ast }$ with ${}^6\mathrm{He}$ respectively in the ground and excited $2^{+}$ states as well as for the four-body democratic decay channel ${}^4\mathrm{He}+n+n+n$. The resonant energies and widths areobtained by numerical location of the $S$-matrix poles. We describe all experimentally known ${}^7\mathrm{He}$ resonances and suggest an interpretation of an observed wide resonance of unknown spin-parity.

arXiv comment10 pages, 2 figures

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• Complex-scaled no-core shell model calculations of bound and unbound nuclear states in light nuclei
• Resonances and collisional properties of neutron-rich helium isotopes in the adiabatic hyperspherical representation
• Direct observation of three-neutron emission from ${}^7$He${}^{\ast }$ and the search for the trineutron