Abstract
In three-body model calculations of atomic nuclei, e.g., the \({}^{12}\)C nucleus as \(\alpha \)-\(\alpha \)-\(\alpha \) system and the \({}^{9}\)Be nucleus as \(\alpha \)-\(\alpha \)-n system, the Hamiltonians of the systems consisting of two- and three-body potentials are important inputs. However, our knowledge of three-body potentials is quite restricted. In this paper, I will examine a relation between \(\alpha \)-\(\alpha \)-\(\alpha \) and \(\alpha \)-\(\alpha \)-n three-body potentials that is obtained in a simple cluster model picture, which gives a phenomenological constraint condition on the three-body potential models to be used.
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This article belongs to the Topical Collection “The 23rd European Conference on Few-Body Problems in Physics”.
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Ishikawa, S. Three-Body Potentials in \({\varvec{\alpha }}\)-Particle Model of Light Nuclei. Few-Body Syst 58, 37 (2017). https://doi.org/10.1007/s00601-016-1205-y
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DOI: https://doi.org/10.1007/s00601-016-1205-y