The continuum of 10He nucleus is studied theoretically in a three-body 8He+n+n model basing on the recent information concerning 9He spectrum [Golovkov, \textit{et al.}, Phys. Rev. C \textbf{76}, 021605(R) (2007)]. The 10He ground state (g.s.) candidate with structure [p1/2]2 for new g.s. energy of 9He is predicted to be at about 2.0−2.3 MeV. The peak in the cross section associated with this state may be shifted to a lower energy (e.g. ∼1.2 MeV) when 10He is populated in reactions with 11Li due to peculiar reaction mechanism. Formation of the low-energy (E<250 keV) ``alternative'' ground state with structure [s1/2]2 is highly probable in 10He in the case of considerable attraction (e.g. a<−5 fm) in the s-wave 9He channel, which properties are still quite uncertain. This result either questions the existing experimental low-energy spectrum of 10He or place a limit on the scattering length in 9He channel, which contradicts existing data.
@article{arxiv.nucl-th/0608054,
title = {Problems with interpretation of $^{10}$He ground state},
author = {L. V. Grigorenko and M. V. Zhukov},
journal= {arXiv preprint arXiv:nucl-th/0608054},
year = {2013}
}