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arXiv · 1409.8012

Examination of the stability of a rod-shaped structure in $^{24}$Mg

Yoritaka Iwata·Takatoshi Ichikawa·Naoyuki Itagaki·Joachim A. Maruhn·Takaharu Otsuka
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Abstract

The stable existence of a six-$α$ linear structure in highly excited states of $^{24}$Mg is studied based on a systematic Cranked Hartree-Fock calculation with various Skyrme-type interactions. Its stability is examined by allowing the transition of the cluster structure to the shell-model like structure. Especially, the six-$α$ linear state is exposed to two major instabilities: the bending motion, which is the main path for the transition to low-lying states, and the spin-orbit interaction, which is the driving force to break the $α$ clusters and enhance the independent motion of the nucleons. The linear structure with large angular momentum is obtained as a meta-stable stationary state.

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Yoritaka Iwata, Takatoshi Ichikawa, Naoyuki Itagaki, Joachim A. Maruhn, Takaharu Otsuka. 2015-06-29. Examination of the stability of a rod-shaped structure in $^{24}$Mg. https://doi.org/10.1103/physrevc.92.011303

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