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Resonances in 12C and 24Mg : what do we learn from a microscopic cluster theory?

par Descouvemont, Pierre
Référence European Physical Journal A. Hadrons and Nuclei, 57, 1, 29
Publication Publié, 2021-01-01

Article révisé par les pairs

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Résumé :

We discuss resonance properties in three-body systems, with examples on 12C and 24Mg. We use a microscopic cluster model, where the generator coordinate is defined in the hyperspherical formalism. The 12C nucleus is described by an α+ α+ α structure, whereas 24Mg is considered as an 16O + α+ α system. We essentially pay attention to resonances. We review various techniques which may extend variational methods to resonances. We consider 0 + and 2 + states in 12C and 24Mg. We show that the r.m.s. radius of a resonance is strongly sensitive to the variational basis. This has consequences for the Hoyle state (02+ state in 12C) whose radius has been calculated or measured in several works. In 24Mg , we identify two 0 + resonances slightly below the three-body threshold.