Benoit Laurent, Nicole Vinh Mau
A particle-particle random phase approximation (RPA) model was applied to study the properties of the $^{6,8,9,10}$He isotopes. The RPA model applied takes into account the two-body correlations in the $^{8}$He core. Therefore, it gives a better description of energies and amplitudes than models that assume a closed neutron shell (or subshell) and provides the opportunity to make a simultaneous study of the $^{6}$He, $^{8}$He, $^{9}$He and $^{10}$He nuclei. Both ground-state and excited-states calculated properties are discussed and compared to experimental data. These studies suggest the same $2s$-$1p_{1/2}$ shell inversion in $^{9}$He as in $^{11}$Be, $^{10}$Li and $^{13}$Be, and propose a contribution of the $(1p_{3/2})^{-2}-(1p_{1/2})^2$ and the $(1p_{3/2})^{-2}-(2s)^2$ configurations in the $^{8}$He core.
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http://arxiv.org/abs/1207.0756
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