Abstract
We provide a description of even-even N = Z nuclei in a formalism of quartets. Quartets are four-body correlated structures characterized by isospin T and angular momentum J. We show that the ground state correlations induced by a realistic shell model interaction can be well accounted for in terms of a restricted set of T = 0 low–J quartets, the J = 0 one playing by far a leading role among them. A conceptually similar description of odd-odd self-conjugate nuclei is given in terms of two distinct families of building blocks, one formed by the same T = 0 quartets employed for the even-even systems and the other by collective pairs with either T = 0 or T = 1. Some applications of this formalism are discussed for nuclei in the sd shell.
Highlights
Self-conjugate nuclei are characterized by an equal number of protons and neutrons distributed over the same single particle orbits
T = 0 quartets are four-body correlated structures formed by two protons and two neutrons and, in the case of a spherical mean field, they are characterized by a total angular momentum J = 0
In Ref. [7] we have shown that the basic features of the spectra of these nuclei can be reproduced by resorting to two distinct families of building blocks, one formed by collective T = 0 quartets and the other by collective pairs with either T = 0 or T = 1 isospin
Summary
Self-conjugate nuclei are characterized by an equal number of protons and neutrons distributed over the same single particle orbits In these nuclei, owing to the charge independence of the nuclear interaction, the isovector proton-neutron (pn) pairing force represents an essential component of the effective nuclear interaction. [7] we have shown that the basic features of the spectra of these nuclei can be reproduced by resorting to two distinct families of building blocks, one formed by collective T = 0 quartets and the other by collective pairs with either T = 0 or T = 1 isospin In this contribution we will summarize the basic results that have been achieved for both even-even and odd-odd nuclei
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