First microscopic coupled-channel calculation of $\alpha$ inelastic cross sections on ${}^{16}$O

Abstract

The $\alpha$ inelastic scattering on ${}^{16}$O is investigated with the coupled-channel calculation using the $\alpha$-nucleus coupled-channel potentials, which are microscopically derived by folding the the Melbourne $g$-matrix $NN$ interaction with the ${}^{16}$O and $\alpha$ densities. The matter and transition densities of ${}^{16}$O are calculated by a microscopic structure model of the variation after the spin-parity projections combined with the generator coordinate method of ${}^{12}$C+$\alpha$ in the framework of the antisymmetrized molecular dynamics. The calculation reproduces the observed elastic and inelastic cross sections at incident energies of $E_{\alpha }$=104 MeV, 130 MeV, 146 MeV, and 386 MeV. The coupled-channel effect on the cross sections is also discussed.

Comments: 10 pages, 7 figures