Determination of the structure of ${}^{31}$Ne by full-microscopic framework

Abstract

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

Comments: 4 pages, 4 figures, 2 tables