Abstract

We show that low-energy spectra of 4n nuclei in the sd shell can be described with high accuracy in a formalism of four-body correlated structures (quartets). The states of all N ≥ Z nuclei belonging to the A = 24 isobaric chain are represented as a superposition of two-quartet states, with quartets being characterized by isospin T and angular momentum J. These quartets are assumed to be those describing the lowest states in20Ne (Tz=0),20F (Tz=1) and20O (Tz=2). We find, in particular, that the spectrum of the self-conjugate nucleus24Mg can be well reproduced in terms of T=0 quartets only and that, among these, the J=0 quartet plays by far the leading role in the structure of the ground state. These results highlight the importance of quartetting in the structure of 4n nuclei.

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