Gas-like state of {alpha} clusters around a {sup 16}O core in {sup 24}Mg

We have studied gas-like states of {alpha} clusters around an {sup 16}O core in {sup 24}Mg based on a microscopic {alpha}-cluster model. The 0{sup +} states below the {sup 16}O+{alpha}+{alpha} threshold, which are candidates for the resonance solution judging from the energy convergence behavior, are strongly excited by an isoscalar monopole (E0) operator from the ground state, which could be observed as an experimental signature of well-developed {alpha} gas-like states in the excited states. These states have significant overlaps with the THSR (Tohsaki-Horiuchi-Schuck-Roepke) wave functions with large spatial extension.