Breathing-like excited state of the Hoyle state in C12

Bo Zhou, Akihiro Tohsaki, Hisashi Horiuchi, and Zhongzhou Ren
Phys. Rev. C 94, 044319 – Published 21 October 2016

Abstract

The existence of the 03+ and 04+ states around 10 MeV excitation energy in C12 is confirmed by a fully microscopic 3α cluster model. Firstly, a generator coordinate method (GCM) calculation is performed by superposing optimized 2α+α Tohsaki-Horiuchi-Schuck-Röpke (THSR) 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 2α+α THSR wave function orthogonalized to the ground and Hoyle states is made and it also supports the existence of the 03+ state obtained by the GCM calculation. The analysis of the obtained 03+ state is made by studying its 2αα reduced width amplitude, its 2α correlation function, and the large monopole matrix element between this state and the Hoyle state, which shows that this 03+ state is a breathing-like excited state of the Hoyle state. This character of the 03+ state is very different from the 04+ state which seems to have a bent-arm 3α structure.

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  • Received 7 July 2016

DOI:https://doi.org/10.1103/PhysRevC.94.044319

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Bo Zhou1,2,*, Akihiro Tohsaki3, Hisashi Horiuchi3,4, and Zhongzhou Ren5,6,7

  • 1Institute for International Collaboration, Hokkaido University, Sapporo 060-0815, Japan
  • 2Faculty of Science, Hokkaido University, Sapporo 060-0810, Japan
  • 3Research Center for Nuclear Physics (RCNP), Osaka University, Osaka 567-0047, Japan
  • 4International Institute for Advanced Studies, Kizugawa 619-0225, Japan
  • 5Department of Physics, Nanjing University, Nanjing 210093, China
  • 6Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000, China
  • 7Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

  • *bo@nucl.sci.hokudai.ac.jp.

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Issue

Vol. 94, Iss. 4 — October 2016

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