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The breathing mode of the Hoyle state in \(^{12}\)C

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Abstract

Excited states of the Hoyle state in \(^{12}\)C are discussed by taking into account the correct boundary condition for three-\(\alpha \) resonant states with the complex scaling method. The Coulomb interaction is considered to play an important role for stability of a breathing \(3\alpha \) motion. It is expected that such a breathing mode exists in other n\(\alpha \) systems as well. The development of a new method for solving n\(\alpha \) systems in the complex scaling method is reported.

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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: There are no data produced in my article.]

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Acknowledgements

We would like to thank Professor Peter Schuck for his great encouragement to our study on the Hoyle state of the \(^{12}\)C nucleus, and we dedicate this paper to him.

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Authors and Affiliations

  1. Department of Radiological Technology, Faculty of Health Science, Juntendo University, Tokyo, 113-8421, Japan

    Chie Kurokawa

  2. General Education, Faculty of Engineering, Osaka Institute of Technology, Osaka, Osaka, 535-8585, Japan

    Takayuki Myo

  3. Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki, Osaka, 567-0047, Japan

    Takayuki Myo

  4. Nuclear Reaction Data Centre, Faculty of Science, Hokkaido University, Sapporo, 060-0810, Japan

    Kiyoshi Katō

Authors
  1. Chie Kurokawa
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  2. Takayuki Myo
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  3. Kiyoshi Katō
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Correspondence to Kiyoshi Katō.

Additional information

Communicated by David Blaschke.

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Kurokawa, C., Myo, T. & Katō, K. The breathing mode of the Hoyle state in \(^{12}\)C. Eur. Phys. J. A 60, 56 (2024). https://doi.org/10.1140/epja/s10050-024-01284-9

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  • DOI: https://doi.org/10.1140/epja/s10050-024-01284-9

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