Isoscalar-isovector proton-neutron pairing and quartet condensation in N=Z nuclei

Abstract

We show that the correlations generated in the ground state of $N=Z$ nuclei by the isovector and isoscalar pairing forces can be treated with high precision as a condensate of alpha-like quartets. To treat these correlations, the quartet condensation model (QCM) is extended to the treatment of spherically symmetric isovector $(T=1,J=0)$ and isoscalar $(T=0,J=1)$ pairing forces . Within QCM we discuss the competition between $T=1$ and $T=0$ pairing correlations in the case of a two-level model and for $N=Z$ nuclei with nucleons moving in the open shells above ${}^{16}$O, ${}^{40}$Ca and ${}^{100}$Sn. We show that in $N=Z$ systems isovector and isoscalar proton-neutron pairing correlations always coexist.

8 pages, 2 figures

References in corpus (8)

• Overview of Neutron-Proton Pairing
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• Accuracy of BCS-based approximations for pairing in small Fermi systems
• Testing the importance of collective correlations in neutrinoless $\beta \beta$ decay
• Isoscalar and isovector pairing in a formalism of quartets
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Cited by in corpus (9)

• Shape coexistence in even-even nuclei: A theoretical overview
• Quartet correlations in N=Z nuclei induced by realistic two-body interactions
• Quartetting in odd-odd self-conjugate nuclei
• $\alpha$-like quartetting in the excited states of proton-neutron pairing Hamiltonians
• Band-like structures and quartets in deformed N=Z nuclei
• Quartet structure of $N=Z$ nuclei in a boson formalism: the case of ${}^{28}$Si
• Coexistence of quartets and pairs in even-even $N>Z$ nuclei
• Proton-neutron pairing and binding energies of nuclei close to N=Z line
• Quartet condensation induced by the isovector pairing force