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

We have studied gas-like states of $α$ clusters around an $^{16}$O core in $^{24}$Mg based on a microscopic $α$-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 $α$ clusters in $^{24}$Mg around the $^{16}$O core appears slightly below the 2$α$-threshold e