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The two-neutron RPA model has been used to describe helium isotopes with N(the neutron number) = 4, 6, 7, 8 in their ground and excited states. Theproperties of all these isotopes are given by a single system of equations sothat their properties are interdependent. Since the ground states of $^{9}$Heand $^{10}$He are still not well established, we have looked how the propertiesof $^{9}$He induce the properties of the other isotopes, energies and wavefunctions. Our results suggest an inversion of $2s$-$1p_{1/2}$ shells in$^{9}$He. The corresponding ground states of $^{9}$He and $^{10}$He areslightly unbound and respectively $1/2^+$ and $0^+$ states while the $1/2^-$and $0^+$ seen in experiments appear to be excited states. With this assumptionon $^{9}$He, we get not only a nice picture of $^{10}$He but also a very goodtwo-neutron separation energy in $^{8}$He.

Description of He isotopes using the particle-particle random-phase approximation model