Gas-like state of $\alpha$ clusters around ${}^{16}$O core in ${}^{24}$Mg

Abstract

We have studied gas-like states of $\alpha$ clusters around an ${}^{16}$O core in ${}^{24}$Mg based on a microscopic $\alpha$-cluster model. This study was performed by introducing a Monte Carlo technique for the description of the THSR (Tohsaki Horiuchi Schuck Röpke) wave function, and the coupling effect to other low-lying cluster states was taken into account. A large isoscalar monopole ($E0$) transition strength from the ground to the gas-like state is discussed. The gas-like state of two $\alpha$ clusters in ${}^{24}$Mg around the ${}^{16}$O core appears slightly below the 2$\alpha$-threshold e

Comments: submitted to Phys. Rev. C