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arXiv · 1607.04468

Breathing-like excited state of the Hoyle state in ${^{12}{\rm C}}$

Bo Zhou·Akihiro Tohsaki·Hisashi Horiuchi·Zhongzhou Ren
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Abstract

The existence of the $0_3^+$ and $0_4^+$ states around 10 MeV excitation energy in ${^{12}{\rm C}}$ is confirmed by a fully microscopic 3$α$ cluster model. Firstly, a GCM (generator coordinate method) calculation is performed by superposing optimized 2$α$+$α$ THSR (Tohsaki-Horiuchi-Schuck-Röpke) wave functions with the radius-constraint method. The obtained two excited $0^+$ states above the Hoyle state are consistent with the recently observed states by experiment. Secondly, a variational calculation using the single 2$α$+$α$ THSR wave function orthogonalized to the ground and Hoyle states is made and it also supports the existence of the $0_3^+$ state obtained by the GCM calculation. The analysis of the obtained $0_3^+$ state is made by studying its 2$α$-$α$ reduced width amplitude, its 2$α$ correlation function, and the large monopole matrix element between this state and the Hoyle state, which shows that this $0_3^+$ state is a breathing-like excited state of the Hoyle state. This character of the $0_3^+$ state is very different from the $0_4^+$ state which seems to have a bent-arm 3$α$ structure.

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Bo Zhou, Akihiro Tohsaki, Hisashi Horiuchi, Zhongzhou Ren. 2016-07-15. Breathing-like excited state of the Hoyle state in ${^{12}{\rm C}}$. https://doi.org/10.1103/physrevc.94.044319

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