Cranked shell model and isospin symmetry near N=Z

Abstract

A cranked shell model approach for the description of rotational bands in $N\approx Z$ nuclei is formulated. The isovector neutron-proton pairing is taken into account explicitly. The concept of spontaneous breaking and subsequent restoration of the isospin symmetry turns out to be crucial. The general rules to construct the near yrast-spectra for rotating nuclei are presented. For the model case of particles in a j-shell, it is shown that excitation spectra and the alignment processes are well described as compared to the exact shell model calculation. Realistic cranked shell model calculations are able to describe the experimental spectra of ${}^{72,73}$Kr and ${}^{74}$Rb isotopes. \

23 pages, 5 figures

References in corpus (1)

• Pairing and the structure of the pf-shell N ~ Z nuclei

Cited by in corpus (28)

• Local Density Approximation for proton-neutron pairing correlations. I. Formalism
• Chirality of nuclear rotation
• Overview of Neutron-Proton Pairing
• Symmetry restoration in mean-field approaches
• Is there np pairing in odd-odd N=Z nuclei?
• A number projected model with generalized pairing interaction
• Microscopic structure of fundamental excitations in N=Z nuclei
• Description of rotating $N=Z$ nuclei in terms of isovector pairing
• Projected shell model study for the yrast-band structure of the proton-rich mass-80 nuclei
• Relation between Wigner energy and proton-neutron pairing
• Anomalous rotational-alignment in N=Z nuclei and residual neutron-proton interaction
• Isovector and isoscalar superfluid phases in rotating nuclei
• Superdeformed Band in ^{36}Ar Described by Projected Shell Model
• Interpretation of the Wigner Energy as due to RPA Correlations
• Isospin-invariant Skyrme energy-density-functional approach with axial symmetry
• Projected shell model study of odd-odd f-p-g shell proton-rich nuclei
• Pairing theory of the symmetry energy
• Microscopic description of rotation: From ground states to the extremes of ultra-high spin
• Different particle alignments in N \approx Z Ru isotopes studied by the shell model
• Competition between isoscalar and isovector pairing correlations in N=Z nuclei
• High-spin intruder states in the fp shell nuclei and isoscalar proton-neutron correlations
• On the linear term in the nuclear symmetry energy
• Nuclear masses near N = Z from Nilsson-Strutinsky calculations with pairing corrections beyond BCS from an isospin-conserving pairing force
• Proton-neutron pairing energies in N=Z nuclei at finite temperature
• The T=0 neutron-proton pairing correlations in the superdeformed rotational bands around 60Zn
• Isoscalar neutron-proton pairing and SU(4)-symmetry breaking in Gamow-Teller transitions
• Effect of Wigner energy on the symmetry energy coefficient in nuclei
• High-spin structures as the probes of proton-neutron pairing