Pairing and Isospin Symmetry in Proton-Rich Nuclei

Abstract

Unlike their lighter counterparts, most odd-odd N=Z nuclei with mass A > 40 40 have ground states with isospin T=1, suggesting an increased role for the isovector pairing interaction. A simple SO(5) seniority-like model of this interaction reveals a striking and heretofore unnoticed interplay between like-particle and neutron-proton isovector pairing near N=Z that is reflected in the number of each kind of pair as a function of A and T. Large scale shell-model calculations exhibit the same trends, despite the simultaneous presence of isoscalar pairs, deformation, and other correlations.

8 pages + 2 postscript figures, in RevTeX. Discussion of isospin projection in HFB added. This version to appear in Phys. Lett. B

Cited by in corpus (62)

• Pairing in nuclear systems: from neutron stars to finite nuclei
• Local Density Approximation for proton-neutron pairing correlations. I. Formalism
• Overview of Neutron-Proton Pairing
• Evidence for a spin-aligned neutron-proton paired phase from the level structure of ${}^{92}$Pd
• Neutron-Proton Correlations in an Exactly Solvable Model
• Pairing and the structure of the pf-shell N ~ Z nuclei
• Shapes and beta decay in proton rich Ge, Se, Kr and Sr isotopes
• Thermodynamics of $n$-$p$ condensate in asymmetric nuclear matter
• Beta decay and shape isomerism in 74Kr
• Spin-isospin excitations and beta+/EC half-lives of medium-mass deformed nuclei
• Boson mappings and four-particle correlations in algebraic neutron-proton pairing models
• Is there np pairing in odd-odd N=Z nuclei?
• Physical Significance of q Deformation and Many-Body Interactions in Nuclei
• Theoretical Aspects of Science with Radioactive Nuclear Beams
• A number projected model with generalized pairing interaction
• Neutron-proton pairing in the BCS approach
• Cranked shell model and isospin symmetry near N=Z
• Proton-neutron pairing in the deformed BCS approach
• Alpha-like quartet condensation and isovector pairing correlations in N=Z nuclei
• Pairing and symmetry energy in N \simeq Z nuclei
• Onset of T=0 Pairing and Deformations in High Spin States of the N=Z Nucleus 48Cr
• Description of rotating $N=Z$ nuclei in terms of isovector pairing
• Exact Solution of the Isovector Proton Neutron Pairing Hamiltonian
• Competition of isoscalar and isovector proton-neutron pairing in nuclei
• Isovector neutron-proton pairing with particle number projected BCS
• Isospin singlet (pn) pairing and quartetting contribution to the binding energy of nuclei
• Results from Shell Model Monte Carlo Studies
• Phases of asymmetric nuclear matter with broken space symmetries
• Exact solution of the spin-isospin proton-neutron pairing Hamiltonian
• Classification of States in O(8) Proton-Neutron Pairing Model
• $N=Z$ nuclei: A laboratory for neutron-proton collective mode
• No-core configuration-interaction model for the isospin- and angular-momentum-projected states
• Proton-neutron interactions in N \approx Z nuclei
• Neutron-proton pairs in nuclei
• The interacting boson model with SU(3) charge symmetry and its application to even--even N $\approx$ Z nuclei
• Isovector pairing in a formalism of quartets for N=Z nuclei
• Isovector Pairing in Odd-A Proton-Rich Nuclei
• SMMC studies of N=Z pf-shell nuclei with pairing-plus-quadrupole Hamiltonian
• A large Hilbert space QRPA and RQRPA calculation of neutrinoless double beta decay
• An Algebraic Pairing Model with Sp(4) Symmetry and its Deformation
• Spectroscopy of proton-rich 66^Se up to J^π = 6^+: isospin-breaking effect in the A = 66 isobaric triplet
• How to count nucleon pairs?
• Proton and neutron correlations in ${}^{10}$B
• Staggering behavior of 0^+ state energies in the Sp(4) pairing model
• Structure of the vacuum states in the presence of isovector and isoscalar pairing correlations
• Underlying symmetries of realistic interactions and the nuclear many-body problem
• Global Properties of fp-Shell Interactions in Many-nucleon Systems
• Racah's method for general subalgebra chains: Coupling coefficients of SO(5) in canonical and physical bases
• Probing mixed-spin pairing in heavy nuclei
• Expressions for the number of J=0 pairs in even-even Ti isotopes
• Dynamical symmetry of isobaric analog 0+ states in medium mass nuclei
• Symmetry Restoration in Mixed-Spin Paired Heavy Nuclei
• Exact isovector pairing in a shell-model framework: Role of proton-neutron correlations in isobaric analog states
• Pairing in Nuclei
• Neutron--proton spin--spin correlations in the ground states of N=Z nuclei
• Isospin symmetry breaking in an algebraic pairing Sp(4) model
• Shell model study of the pairing correlations
• Generalized q-Deformed Symplectic sp(4) Algebra for Multi-shell Applications
• Conservation laws in the $1f_{7/2}$ shell model of ${}^{48}$Cr
• Proof by characters of the orthogonal-orthogonal duality and relations of Casimir invariants
• Quasideuterons in Light Nuclei
• Collective model with isovector pair and alpha-particle type correlations