Structure of the quartetting ground state of $N=Z$ nuclei
A. G. Serban, D. R. Nichita, D. Negrea, V. V. Baran

TL;DR
This paper explores the ground state structure of N=Z nuclei, establishing a formal link between quartetting and symmetry-restored BCS models, and analyzing the competition between different pairing correlations.
Contribution
It introduces a formal equivalence between quartetting and symmetry-restored BCS descriptions for N=Z nuclei, and evaluates multiple ground state structures considering isovector and isoscalar pairing.
Findings
Established formal equivalence between quartetting and BCS models.
Evaluated multiple ground state structures respecting symmetries.
Analyzed competition between isovector and isoscalar correlations.
Abstract
The formal equivalence between the quartetting picture and the symmetry restored BCS picture is established for the ground state correlations induced by the general isovector-isoscalar pairing interaction. Multiple ground state structures compatible with the particle number and isospin symmetries are evaluated. The competition of isovector and isoscalar correlations is discussed for the nuclei above Sn.
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