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 $n+^{6}\mathrm{He}^{*}$ 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 are obtained 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.
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