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Three-\(\alpha \) Configurations in the \(0^{+}\) States of \(^{12}\mathrm {C}\)

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Abstract

Geometric configurations of three \(\alpha \) particles in the ground- and first-excited \(J^\pi =0^+\) states of \(^{12}\)C are discussed within two types of \(\alpha \)-cluster models which treat the Pauli principle differently. Though there are some quantitative differences especially in the internal region of the wave functions, equilateral triangle configurations are dominant in the ground state, while in the first excited \(0^+\) state isosceles triangle configurations dominate, originating from \(^8\mathrm{Be}+\alpha \) configurations.

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Authors and Affiliations

  1. Department of Physics, Hokkaido University, Sapporo, 060-0810, Japan

    H. Moriya & W. Horiuchi

  2. Departamento de Física Atómica, Molecular y Nuclear, Facultad de Física, Universidad de Sevilla, Apartado 1065, E-41080, Sevilla, Spain

    J. Casal

  3. Dipartimento di Fisica e Astronomia “G. Galilei”, Universitá degli Studi di Padova and Istituto Nazionale di Fisica Nucleare-Sezione di Padova, via Marzolo 8, Padova, I-35131, Italy

    L. Fortunato

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  1. H. Moriya
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  2. W. Horiuchi
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Correspondence to W. Horiuchi.

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This work was in part supported by JSPS KAKENHI Grants Nos. 18K03635 and 19H05140, and the collaborative research program 2021, Information Initiative Center, Hokkaido University.

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Moriya, H., Horiuchi, W., Casal, J. et al. Three-\(\alpha \) Configurations in the \(0^{+}\) States of \(^{12}\mathrm {C}\). Few-Body Syst 62, 46 (2021). https://doi.org/10.1007/s00601-021-01631-2

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  • DOI: https://doi.org/10.1007/s00601-021-01631-2

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