Using the method of analytic continuation in the coupling constant with a ${}^8\text{He}+n+n$ model, we investigated the ground state of ${}^{10}\text{He}$. In addition to a solution with the two valence neutrons in $p$ states ($[p_{1/2}{p}_{1/2}{]}_{0+}$), we obtained a solution with the valence neutrons in $s$ states ($[s_{1/2}{s}_{1/2}{]}_{0+}$) as the ground state. Experimentally, such a state has not yet been observed. This newly predicted state of ${}^{10}\text{He}$ with the main component of $[s_{1/2}{s}_{1/2}{]}_{0+}$ corresponds to the ground state of ${}^{11}\text{Li}$ with a halo structure.

• Received 24 November 2001

DOI:https://doi.org/10.1103/PhysRevLett.89.052501