Self-consistent Skyrme QRPA for use in axially-symmetric nuclei of arbitrary mass

Abstract

We describe a new implementation of the quasiparticle random phase approximation (QRPA) in axially-symmetric deformed nuclei with Skyrme and volume-pairing energy-density functionals. After using a variety of tests to demonstrate the accuracy of the code in ^{24,26}Mg and ^{16}O, we report the first fully self-consistent application of the Skyrme QRPA to a heavy deformed nucleus, calculating strength distributions for several K^pi in ^{172}Yb. We present energy-weighted sums, properties of gamma-vibrational and low-energy K^pi=0^+ states, and the complete isovector E1 strength function. The QRPA calculation reproduces the properties of the low-lying 2^+ states as well or better than it typically does in spherical nuclei.

5 pages, 6 figures

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Cited by in corpus (44)

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• Shape evolution of giant resonances in Nd and Sm isotopes
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• Feasibility of the finite amplitude method in covariant density functional theory
• Computational Nuclear Quantum Many-Body Problem: The UNEDF Project
• Finite amplitude method applied to giant dipole resonance in heavy rare-earth nuclei
• Multipole modes in deformed nuclei within the finite amplitude method
• Pairing and deformation effects in nuclear excitation spectra
• Efficient calculation for the quasiparticle random-phase approximation matrix
• Testing Skyrme energy-density functionals with the QRPA in low-lying vibrational states of rare-earth nuclei
• Physical features of strength of isoscalar pairing interaction determined by relation between double charge change and double pair transfer
• Role of pairing in the description of Giant Monopole Resonances
• Emergent Soft Monopole Modes in Weakly-Bound Deformed Nuclei
• Many-body correlations of quasiparticle random-phase approximation in nuclear matrix element of neutrinoless double-beta decay
• Elimination of spurious modes within QRPA
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• Overlap of QRPA states based on ground states of different nuclei --mathematical properties and test calculations--
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• Low-energy cluster vibrations in N = Z nuclei
• Number conserving particle-hole RPA for superfluid nuclei
• On the importance of using exact pairing in the study of pygmy dipole resonance
• Benchmark of many-body approaches for magnetic dipole transition strength
• Two decay paths for calculation of nuclear matrix element of neutrinoless double-beta decay using quasiparticle random-phase approximation
• Density functional approaches to nuclear dynamics
• Density functional approaches to atomic nuclei
• Multipole responses in fissioning nuclei and their uncertainties
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• Comparative study of the requantization of the time-dependent mean field for the dynamics of nuclear pairing
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