Mixed Representation RPA Calculation for Octupole Excitations on Superdeformed Sates in the 40Ca and Neutron-Rich Sulfur Regions

Abstract

By means of the mixed representation RPA based on the Skyrme-Hartree-Fock mean field, we investigate low-frequency octupole excitations built on the superdeformed (SD) states in the N=Z nuclei around 40Ca and the neutron-rich Sulfur isotopes. The RPA calculation is carried out fully self-consistently on the three-dimensional Cartesian mesh in a box, and yields a number of low-frequency octupole vibrations built on the SD states in 32S, 36Ar, 40Ca and 44Ti. In particular, a strongly collective K^π=1^- octupole vibration is suggested to appear on top of the SD state in 40Ca. For 48,50S close to the neutron drip line, we find that the low-lying state created by the excitation of a single neutron from a loosely bound low Omega level to a high Omega resonance level acquires an extremely strong octupole transition strength due to the spatially very extended structure of the particle-hole wave functions.

22 pages, 7 figures

References in corpus (16)

• Gamow-Teller strength and the spin-isospin coupling constants of the Skyrme energy functional
• Continuum Linear Response in Coordinate Space Hartree-Fock-Bogoliubov Formalism for Collective Excitations in Drip-line Nuclei
• Linear response theory in the continuum for deformed nuclei: Green's function vs. time-dependent Hartree-Fock with the absorbing-boundary condition
• Collectivity of the low-lying dipole strength in relativistic random phase approximation
• Self-Consistent Description of Multipole Strength in Exotic Nuclei I: Method
• Continuum quasiparticle random phase approximation and the time dependent Hartree-Fock-Bogoliubov approach
• Isotopic dependence of the pygmy dipole resonance
• Pairing effects on the collectivity of quadrupole states around 32Mg
• Shape Coexistence Around ${}_{16}^{44}$S${}_{28}$: The Deformed N=28 Region
• Microscopic Structure of High-Spin Vibrational Excitations in Superdeformed 190,192,194Hg
• Cranked Skyrme-Hartree-Fock calculation for superdeformed and hyperdeformed rotational bands in N=Z nuclei from 32S to 48Cr
• Properties of the predicted super-deformed band in ^{32}S
• High-spin yrast structure of 32S suggested by symmetry-unrestricted, cranked Hartree-Fock calculations
• Superdeformed bands in 32S and neighboring nuclei predicted within the Hartree-Fock method
• Nonaxial octupole deformations in light N=Z nuclei at high spins
• Superdeformed bands in neutron-rich Sulfur isotopes suggested by cranked Skyrme-Hartree-Fock calculations

Cited by in corpus (15)

• Time-dependent density-functional description of nuclear dynamics
• Deformed quasiparticle-random-phase approximation for neutron-rich nuclei using the Skyrme energy density functional
• Self-consistent calculation of nuclear photoabsorption cross section: Finite amplitude method with Skyrme functionals in the three-dimensional real space
• Linear response of light deformed nuclei investigated by self-consistent quasiparticle random-phase-approximation
• Feasibility of the finite amplitude method in covariant density functional theory
• Low-energy E1 strength in select nuclei: Possible constraints on the neutron skins and the symmetry energy
• Pairing and continuum effects on low-frequency quadrupole vibrations in deformed Mg isotopes close to the neutron drip line
• Core swelling in spherical nuclei: An indication of the saturation of nuclear density
• Low-frequency $K^{\pi }=0^{+}$ modes in deformed neutron-rich nuclei: Pairing- and $\beta$-vibrational modes of neutron
• RPA calculations with Gaussian expansion method
• Skyrme-QRPA calculations for low-lying excitation modes in deformed neutron-rich nuclei
• Large enhancement of total reaction cross sections at the edge of the island of inversion in Ti, Cr, and Fe isotopes
• Mean-field analysis of ground state and low-lying electric dipole strength in ${}^{22}$C
• Crossover from skin-mode to proton-neutron-mode in $E1$ excitations of neutron-rich nuclei
• Signature dependent triaxiality for shape evolution from superdeformation in rapidly rotating ${}^{40}$Ca and ${}^{41}$Ca