Self-consistent description of multipole strength: systematic calculations

Abstract

We use the quasiparticle random phase approximation with a few Skyrme density functionals to calculate strength functions in the Jpi = 0+, 1-, and 2+ channels for even Ca, Ni, and Sn isotopes, from the proton drip line to the neutron drip line. We show where and how low-lying strength begins to appear as N increases. We also exhibit partial energy-weighted sums of the transition strength as functions of N for all nuclei calculated, and transition densities for many of the interesting peaks. We find that low-energy strength increases with N in all multipoles, but with distinctive features in each. The low-lying 0+ strength near the neutron at large N barely involves protons at all, with the strength coming primarily from a single two-quasineutron configuration with very large spatial extent. The low-lying 1- strength is different, with protons contributing to the transition density in the nuclear interior together with neutrons at large radii. The low-lying 2+ transition strength goes largely to more localized states. The three Skyrme interactions we test produce similar results, differing most significantly in their predictions for the location of the neutron drip line, the boundaries of deformed regions, energies of and transition strengths to the lowest 2+ states between closed shells, and isovector energy-weighted sum rules.

43 pages, 48 figures, 1 table

References in corpus (13)

• Microscopic HFB+QRPA predictions of dipole strength for astrophysics applications
• Microscopic determination of the nuclear incompressibility within the non-relativistic framework
• Large-scale QRPA calculation of E1-strength and its impact on the neutron capture cross section
• Quasiparticle random phase approximation based on the relativistic Hartree-Bogoliubov model
• Pygmy dipole resonance as a constraint on the neutron skin of heavy nuclei
• Collectivity of the low-lying dipole strength in relativistic random phase approximation
• Self-Consistent Description of Multipole Strength in Exotic Nuclei I: Method
• Dipole states in stable and unstable nuclei
• Di-neutron correlation and soft dipole excitation in medium mass neutron-rich nuclei near drip-line
• Probing the Nuclear Neutron Skin by Low-Energy Dipole Modes
• Anomalous Behavior of 2+ Excitations around 132Sn
• QRPA plus Phonon Coupling Model and the Photoabsorbtion Cross Section for ${}^{18,20,22}$O
• Isotopic dependence of the pygmy dipole resonance

Cited by in corpus (68)

• Exotic modes of excitation in atomic nuclei far from stability
• Time-dependent density-functional description of nuclear dynamics
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Isovector splitting of nucleon effective masses, ab-initio benchmarks and extended stability criteria for Skyrme energy functionals
• r-Process Nucleosynthesis: Connecting Rare-Isotope Beam Facilities with the Cosmos
• Role of deformation on giant resonances within the QRPA approach and the Gogny force
• Finite amplitude method for the quasi-particle-random-phase approximation
• Pairing Vibrations Study with the Time-Dependent Hartree-Fock-Bogoliubov theory
• Emergence of pygmy dipole resonances: Magic numbers and neutron skins
• Self-consistent calculation of nuclear photoabsorption cross section: Finite amplitude method with Skyrme functionals in the three-dimensional real space
• Deformed quasiparticle-random-phase approximation for neutron-rich nuclei using the Skyrme energy density functional
• Low-energy isovector and isoscalar dipole response in neutron-rich nuclei
• Fully self-consistent calculations of nuclear Schiff moments
• Effects of the particle-particle channel on properties of low-lying vibrational states
• Microscopic Study of the Isoscalar Giant Monopole Resonance in Cd, Sn and Pb Isotopes
• Self-consistent Skyrme QRPA for use in axially-symmetric nuclei of arbitrary mass
• Microscopic linear response calculations based on the Skyrme functional plus the pairing contribution
• Linear response of light deformed nuclei investigated by self-consistent quasiparticle random-phase-approximation
• Low-energy dipole strength in 112,120Sn
• Linear response of homogeneous nuclear matter with energy density functionals
• Systematic of isovector and isoscalar giant quadrupole resonances in normal and superfluid spherical nuclei
• Pairing dynamics in particle transport
• Self-consistent calculations of the strength function and radiative neutron capture cross section for stable and unstable tin isotopes
• Relativistic two-phonon model for low-energy nuclear response
• Systematics of collective correlation energies from self-consistent mean-field calculations
• Global study of the spectroscopic properties of the first 2+ state in even-even nuclei
• Quasi-particle continuum and resonances in the Hartree-Fock-Bogoliubov theory
• Electric and magnetic dipole strength in 112,114,116,118,120,124Sn
• The role of superfluidity in nuclear incompressibilities
• Electric dipole response of neutron-rich Calcium isotopes in relativistic quasiparticle time blocking approximation
• Linear response strength functions with iterative Arnoldi diagonalization
• Density functional approaches to collective phenomena in nuclei: Time-dependent density-functional theory for perturbative and non-perturbative nuclear dynamics
• Pygmy Quadrupole Resonance in Skin Nuclei
• Systematic of isovector and isoscalar giant quadrupole resonances in normal and superfluid deformed nuclei
• Nuclear response for the Skyrme effective interaction with zero-range tensor terms. II. Sum rules and instabilities
• Collective vibrational states with fast iterative QRPA method
• Low-energy monopole strength in exotic Nickel isotopes
• Surface-enhanced pair transfer in quadrupole states of neutron-rich Sn isotopes
• Quasiparticle Random Phase Approximation with Interactions from the Similarity Renormalization Group
• Continuum quasiparticle linear response theory using the Skyrme functional for multipole responses of exotic nuclei
• Low-energy electric dipole response of Sn isotopes
• Enhanced collectivity in 74Ni
• Dipole response in 208Pb within a self-consistent multiphonon approach
• Evolution of the dipole polarizability in the stable tin isotope chain
• Multipole excitations in hot nuclei within the finite temperature quasiparticle random phase approximation framework
• Shell structure in neutron-rich Ca and Ni nuclei under semi-realistic mean fields
• Low-lying dipole resonance in neutron-rich Ne isotopes
• Proton-neutron symmetry in 92Zr, 94Mo with Skyrme interactions in a separable approximation
• Isoscalar dipole coherence at low energies and forbidden E1 strength
• Isovector and isoscalar dipole excitations in ${}^9$Be and ${}^{10}$Be studied with antisymmetrized molecular dynamics
• Low-energy dipole strength and the critical case of 48Ca
• Pygmy dipole mode in deformed neutron-rich Mg isotopes close to the drip line
• Influence of complex configurations on properties of pygmy dipole resonance in neutron-rich Ca isotopes
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Low-frequency $K^{\pi }=0^{+}$ modes in deformed neutron-rich nuclei: Pairing- and $\beta$-vibrational modes of neutron
• Isoscalar and neutron modes in the E1 spectra of Ni isotopes and the relevance of shell effects and the continuum
• RPA calculations with Gaussian expansion method
• Unified description of structure and reactions: implementing the Nuclear Field Theory program
• Low-energy quadrupole states in neutron-rich tin nuclei
• Self-consistent calculations within the Extended Theory of Finite Fermi Systems
• Overlap of QRPA states based on ground states of different nuclei --mathematical properties and test calculations--
• Excited-State Density Distributions of Neutron-Rich Unstable Nuclei
• Subtraction of the spurious translational mode from the RPA response function
• Open problems in nuclear structure near drip lines
• On the importance of using exact pairing in the study of pygmy dipole resonance
• Continued fraction approximation for the nuclear matter response function
• Low lying excited states of ${}^{24}$O investigated by self-consistent microscopic description of proton inelastic scattering
• Low-energy dipole excitation modes in ${}^{10}$Be