Multipole Modes for Triaxially Deformed Superfluid Nuclei

Washiyama, Kouhei; Nakatsukasa, Takashi

doi:10.7566/jpscp.23.013012

Cited by 5 publications

(1 citation statement)

References 27 publications

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“…The standard FAM formalism has been extended to the one in terms of the momentum-coordinate (PQ) representation [45] to treat zero-energy modes of QRPA solutions known as spurious modes or Nambu-Goldstone (NG) modes [46,47] associated with spontaneous symmetry breaking of the mean field. A general method to calculate the inertia of the NG modes was also given [45], which was applied to pairing rotation [48,49] and to spatial rotation of axially deformed [50] and of triaxially deformed nuclei [51]. It is important to note that this formulation can treat imaginary solutions of the QRPA that may appear in the LQRPA at nonequilibrium HFB states obtained by the CHFB calculations.…”

Section: Introductionmentioning

confidence: 99%

Finite-amplitude method for collective inertia in spontaneous fission

Washiyama,

Hinohara,

Nakatsukasa

2020

Preprint

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Background: Microscopic description of spontaneous fission is one of the most challenging subjects in nuclear physics. It is necessary to evaluate the collective potential and the collective inertia along a fission path for a description of quantum tunneling in spontaneous or low-energy fission. In past studies of the fission dynamics based on nuclear energy density functional (EDF) theory, the collective inertia has been evaluated with the cranking approximation, which neglects dynamical residual effects.Purpose: The purpose is to provide a reliable and efficient method to include dynamical residual effects in the collective inertia for fission dynamics.Methods: We use the local quasiparticle random-phase approximation (LQRPA) to evaluate the collective inertia along a fission path obtained by the constrained Hartree-Fock-Bogoliubov method with the Skyrme EDF. The finite-amplitude method (FAM) with a contour integration technique enables us to efficiently compute the collective inertia in a large model space.Results: We evaluate the FAM-QRPA collective inertia along a symmetric fission path in 240 Pu and 256 Fm. The FAM-QRPA inertia is significantly larger than the one of the cranking approximation, and shows pronounced peaks around the ground state and the fission isomer. This is due to dynamical residual effects.Conclusions: To describe the spontaneous or low-energy fission, we provide a reliable and efficient method to construct the collective inertia with dynamical residual effects that have been neglected in most of EDF-based works in the past. We show the importance of dynamical residual effects to the collective inertia. This work will be a starting point for a systematic study of fission dynamics in heavy and superheavy nuclei to microscopically describe the nuclear large-amplitude collective motions.

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Section: Introductionmentioning

confidence: 99%

Finite-amplitude method for collective inertia in spontaneous fission

Washiyama,

Hinohara,

Nakatsukasa

2020

Preprint

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Nuclear equation of state from ground and collective excited state properties of nuclei

Roca-Maza

Paar

2018

Progress in Particle and Nuclear Physics

184

110

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This contribution reviews the present status on the available constraints to the nuclear equation of state (EoS) around saturation density from nuclear structure calculations on ground and collective excited state properties of atomic nuclei. It concentrates on predictions based on self-consistent mean-field calculations, which can be considered as an approximate realization of an exact energy density functional (EDF). EDFs are derived from effective interactions commonly fitted to nuclear masses, charge radii and, in many cases, also to pseudo-data such as nuclear matter properties. Although in a model dependent way, EDFs constitute nowadays a unique tool to reliably and consistently access bulk ground state and collective excited state properties of atomic nuclei along the nuclear chart as well as the EoS. For comparison, some emphasis is also given to the results obtained with the so called ab initio approaches that aim at describing the nuclear EoS based on interactions fitted to few-body data only. Bridging the existent gap between these two frameworks will be essential since it may allow to improve our understanding on the diverse phenomenology observed in nuclei. Examples on observations from astrophysical objects and processes sensitive to the nuclear EoS are also briefly discussed. As the main conclusion, the isospin dependence of the nuclear EoS around saturation density and, to a lesser extent, the nuclear matter incompressibility remain to be accurately determined. Experimental and theoretical efforts in finding and measuring observables specially sensitive to the EoS properties are of paramount importance, not only for low-energy nuclear physics but also for nuclear astrophysics applications. 7 The expression introduced by Migdal in Ref. [43] neglected the term in a AS . 8 From a macroscopic picture it would correspond to an isotropic compression. 9 From a macroscopic picture it would correspond to a non-isotropic compression. 15

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Macroscopic manifestations of rotating triaxial superfluid nuclei

Schuck

Urban

2019

Phys. Rev. C

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Recently, Allmond and Wood [Phys. Lett. B 767, 226 (2017)] were able to extract the three moments of inertia I k of a dozen of superfluid triaxial nuclei from experimental data. The observed dependence of the I k on the deformation parameters is rather smooth. Here we show that these moments of inertia can be surprisingly well explained by a semiclassical cranked Hartree-Fock-Bogoliubov (HFB) calculation in which the velocity field is a simple superposition of rigid and irrotational flows. * Electronic address: schuck@ipno.in2p3.fr † Electronic address: urban@ipno.in2p3.fr

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Multipole Modes for Triaxially Deformed Superfluid Nuclei

Cited by 5 publications

References 27 publications

Finite-amplitude method for collective inertia in spontaneous fission

Finite-amplitude method for collective inertia in spontaneous fission

Nuclear equation of state from ground and collective excited state properties of nuclei

Macroscopic manifestations of rotating triaxial superfluid nuclei

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