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

TL;DR

This paper investigates gas-like alpha cluster states around an oxygen-16 core in magnesium-24 using a microscopic model with Monte Carlo techniques, revealing large monopole transition strengths indicative of such states.

Contribution

It introduces a Monte Carlo approach to describe gas-like alpha cluster states within the THSR wave function framework, accounting for couplings to low-lying cluster states.

Findings

Identification of gas-like alpha cluster states near the 2-alpha threshold in $^{24}$Mg.

Large isoscalar monopole transition strength from ground to gas-like states.

Gas-like states appear slightly below the 2-alpha threshold.

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 R\"{o}pke) 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