We perform the first quantitative analysis of the reaction cross sections of ${}^{28–32}\mathrm{Ne}$ by ${}^{12}\mathrm{C}$ at $240\mathrm{MeV}/\mathrm{nucleon}$, using the double-folding model with the Melbourne $g$ matrix and the deformed projectile density calculated by antisymmetrized molecular dynamics. To describe the tail of the last neutron of ${}^{31}\mathrm{Ne}$, we adopt the resonating group method combined with antisymmetrized molecular dynamics. The theoretical prediction excellently reproduces the measured cross sections of ${}^{28–32}\mathrm{Ne}$ with no adjustable parameters. The ground state properties of ${}^{31}\mathrm{Ne}$, i.e., strong deformation and a halo structure with spin parity $3/2^{-}$, are clarified.

• Received 31 October 2011

DOI:https://doi.org/10.1103/PhysRevLett.108.052503