Pairing and symmetry energy in N \simeq Z nuclei

Abstract

It is shown that in N \simeq Z nuclei the effects of isovector pairing and the symmetry energy are intimately related. In particular, in the odd-odd N = Z nuclei these two effect are essentially equal in magnitude, causing near degeneracy of the lowest T = 1 and T = 0 states and appearance of the T = 1 ground state isospin in many such nuclei. Following the earlier work of Jaenecke, it is shown that the global symmetry energy fit can be reproduced using just the excitation energies of the lowest T = 3/2 states in N = Z+1 nuclei. Similarly, the global pairing gap fit can be related to the excitation energy of the T = |N - Z|/2 +1 states in N \simeq Z even A nuclei.

6 pages, 3 figures, added references and modified text

References in corpus (3)

• Odd-Even Staggering of Nuclear Masses: Pairing or Shape Effect?
• Pairing and the structure of the pf-shell N ~ Z nuclei
• How to count nucleon pairs?

Cited by in corpus (32)

• Symmetry Energy II: Isobaric Analog States
• Local Density Approximation for proton-neutron pairing correlations. I. Formalism
• Overview of Neutron-Proton Pairing
• Pairing correlations. Part 2: Microscopic analysis of odd-even mass staggering in nuclei
• Symmetry-Unrestricted Skyrme-Hartree-Fock-Bogoliubov Calculations for Exotic Shapes in N=Z Nuclei from 64Ge to 84Mo
• The High-Density Symmetry Energy and Direct Urca
• Microscopic structure of fundamental excitations in N=Z nuclei
• Rotations in isospace: a doorway to the understanding of neutron-proton superfluidity in N=Z nuclei
• Description of rotating $N=Z$ nuclei in terms of isovector pairing
• Isospin-symmetry restoration within the nuclear density functional theory: formalism and applications
• Relation between Wigner energy and proton-neutron pairing
• Experimental evidence for 56Ni-core breaking from the low-spin structure of the N=Z nucleus 58Cu
• Neutron-proton pairs in nuclei
• Isovector proton-neutron pairing and Wigner energy in Hartree-Fock mean field calculations
• Symmetries and deformations in the spherical shell model
• Quasideuteron states with deformed core
• An Algebraic Pairing Model with Sp(4) Symmetry and its Deformation
• Competition between isoscalar and isovector pairing correlations in N=Z nuclei
• Degeneracies when T=0 Two Body Matrix Elements are Set Equal to Zero and Regge's 6j Symmetry Relations
• Proton-neutron pairing energies in N=Z nuclei at finite temperature
• Nuclear masses near N = Z from Nilsson-Strutinsky calculations with pairing corrections beyond BCS from an isospin-conserving pairing force
• Staggering behavior of 0^+ state energies in the Sp(4) pairing model
• Shell-model study of spectroscopies and isospin structures in odd-odd $N=Z$ nuclei employing realistic \emph{NN} potentials
• The T=0 neutron-proton pairing correlations in the superdeformed rotational bands around 60Zn
• Quartetting in odd-odd self-conjugate nuclei
• Systematic study of the symmetry energy coefficient in finite nuclei
• Dynamical symmetry of isobaric analog 0+ states in medium mass nuclei
• Isoscalar and isovector neutron-proton pairing
• Empirical pairing gaps and neutron-proton correlations
• Effects of pairing correlations on the neutron skin thickness and the symmetry energy
• High-spin structures as the probes of proton-neutron pairing
• Anomalous behavior of the first excited 0${}^{+}$ state in $N\approx Z$ nuclei