Cranked Skyrme-Hartree-Fock-Bogoliubov approach for a mean-field description of nuclear rotations near the drip line

Abstract

To describe the yrast states in weakly bound nuclei, I directly solve the coordinate-space cranked Skyrme-Hartree-Fock-Bogoliubov equation on a three-dimensional lattice with the continuum states discretized in a box. After the numerical demonstration for the ground-state band in a medium-mass nucleus, I apply the newly-developed method to neutron-rich even-$N$ Mg isotopes. I find that the appearance of the significantly low $I^{\pi }=2^{+}$ state in ${}^{40}$Mg is mainly due to the suppression of pairing. The calculation predicts that the $2^{+}$ state in ${}^{42}$Mg appears as high in energy as in ${}^{34\text{-}38}$Mg whereas the triaxial deformation is enhanced in non-zero spin states. The present numerical framework offers a practical approach for investigating the near yrast states systematically and revealing structures unique in drip-line nuclei.

7 pages, 5 figures; accepted version

References in corpus (12)

• Nuclear magic numbers: new features far from stability
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions. II. Microscopic analysis of low-lying states in magnesium isotopes
• Broyden's Method in Nuclear Structure Calculations
• Effective pairing interactions with isospin density dependence
• Pairing and continuum effects on low-frequency quadrupole vibrations in deformed Mg isotopes close to the neutron drip line
• Triaxial deformation and the loss of the N = 28 shell gap
• Pygmy dipole mode in deformed neutron-rich Mg isotopes close to the drip line
• Low-frequency $K^{\pi }=0^{+}$ modes in deformed neutron-rich nuclei: Pairing- and $\beta$-vibrational modes of neutron
• Coordinate-space solver for finite-temperature Hartree-Fock-Bogoliubov calculation using the shifted Krylov method
• Role of triaxiality in deformed halo nuclei
• Signature dependent triaxiality for shape evolution from superdeformation in rapidly rotating ${}^{40}$Ca and ${}^{41}$Ca
• Dynamic Pairing Effects on Low-Frequency Modes of Excitation in Deformed Mg Isotopes close to the Neutron Drip Line

Cited by in corpus (3)

• Triaxial-shape dynamics in the low-lying excited $0^{+}$ state: Role of the collective mass
• Super- and hyper-deformation in ${}^{60}$Zn, ${}^{62}$Zn, and ${}^{64}$Ge at high spins
• Enhanced moments of inertia for rotation in neutron-rich nuclei