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Structure of Resonance States in Three-Alpha Systems

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Abstract

Geometrical structures of low-energy states in the \({}^{12}\)C nucleus are investigated using density distributions obtained from three \(\alpha \)-particle wave functions calculated for a set of phenomenological \(2\alpha \)- and \(3\alpha \) potentials by Faddeev technique. Calculated shapes of triangles that three \(\alpha \)-particles form are classified to either an equilateral triangle, an isosceles triangle, or a mixture of these with various sizes, which may characterize the excitation mechanism of the states

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Acknowledgements

This work used computational resources of the Laboratory provided by the Research Center for Computing and Multimedia Studies, Hosei University (Project ID: LAB-464).

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  1. Science Research Center, Hosei University, 2-17-1 Fujimi, Chiyoda, Tokyo, 102-8160, Japan

    Souichi Ishikawa

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  1. Souichi Ishikawa
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SI wrote the main manuscript text and prepared Figs. 1, 2, 3 and 4.

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Correspondence to Souichi Ishikawa.

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Ishikawa, S. Structure of Resonance States in Three-Alpha Systems. Few-Body Syst 65, 50 (2024). https://doi.org/10.1007/s00601-024-01922-4

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