Correlation studies of the $^{7}$He excited states

The unbound nucleus $^{7}$He was recently studied in the $^2$H($^{6}$He,$^1$H)$^{7}$He reaction at 29 $A\,$MeV beam energy in Ref.[M.S. Golovkov et al., Phys. Rev. C 109, L061602 (2024)]. The excitation spectrum of $^{7}$He was measured up to $E_T=8$ MeV ($E_T$ is energy above the $^{6}$He-$n$ threshold). Angular distribution for the $^{6}$He-$n$ decay of the $^{7}$He $3/2^-$ ground state can be explained by a strong spin alignment induced by a reaction mechanism. The correlation information for the higher-lying $^{7}$He excitations is available as backward-forward asymmetry for the $^{6}$He-$n$ decay in the $^{7}$He frame. The asymmetry function has an expressed energy profile which may be explained by using quite restrictive assumptions about structure of $^{7}$He excitations or/and peculiarities of the reaction mechanism. In the analysis of [M.S. Golovkov et al., Phys. Rev. C 109, L061602 (2024)] the observation the $s_{1/2}$ state in $^{7}$He is declared with $E_r \approx 2.0$ MeV. Our work is based on the same $^{7}$He data. However, the data analysis was improved and also the data interpretation is substantiated with the detailed PWBA reaction studies and coupled-channel calculations of the $^{7}$He continuous spectrum. The idea of the $s_{1/2}$ resonant state with $E_r \approx 2.0$ is rejected. In addition, the position of the $1/2^-$ state in $^{7}$He is confined to the interval $E_r=2.2-3.0$ MeV, with ``preferred'' value 2.6 MeV. There is indication on the second $3/2^-$ state in the data with $E_r \sim 4.5$ MeV and with the lower resonance energy limit $E_r \gtrsim 3.5$ MeV. Importance and prospects of more detailed correlation studies of $^{7}$He continuum are discussed.