Skyrme energy-density functional approach to collective dynamics

Yoshida, Kenichi; Hinohara, Nobuo; Nakatsukasa, Takashi

doi:10.1088/1742-6596/321/1/012017

Cited by 5 publications

(5 citation statements)

References 19 publications

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“…Note that the pnQRPA calculations including the dynamic spin-triplet pairing with more or less the same strength as the spin-singlet pairing describe well the characteristic low-lying Gamow- Teller strength distributions in the light N Z nuclei [38][39][40], and the β-decay half-lives of neutron-rich Ni isotopes [41]. Furthermore, the present theoretical framework describes well the measured giant resonances in light, medium-heavy, and heavy nuclei [21,36,[42][43][44][45][46][47][48], and low-lying collective modes of vibration [21,[49][50][51][52][53].…”

Section: B Numerical Proceduressupporting

confidence: 65%

Isovector giant monopole and quadrupole resonances in a Skyrme energy density functional approach with axial symmetry

Yoshida

2021

Phys. Rev. C

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Background: Giant resonance (GR) is a typical collective mode of vibration. The deformation splitting of the isovector (IV) giant dipole resonance is well established. However, the splitting of GRs with other multipolarities is not well understood. Purpose: I explore the IV monopole and quadrupole excitations and attempt to obtain the generic features of IV giant resonances in deformed nuclei by investigating the neutral and charge-exchange channels simultaneously. Method: I employ a nuclear energy-density functional (EDF) method: the Skyrme-Kohn-Sham-Bogoliubov and the quasiparticle random-phase approximation are used to describe the ground state and the transition to excited states. Results: I find the concentration of the monopole strengths in the energy region of the isobaric analog or Gamow-Teller resonance irrespective of nuclear deformation, and the appearance of a high-energy giant resonance composed of the particle-hole configurations of 2 hω 0 excitation. Splitting of the distribution of the strength occurs in the giant monopole and quadrupole resonances due to deformation. The lower K states of quadrupole resonances appear lower in energy and possess the enhanced strengths in the prolate configuration, and vice versa in the oblate configuration, while the energy ordering depending on K is not clear for the J = 1 and J = 2 spin-quadrupole resonances. Conclusions: The deformation splitting occurs generally in the giant monopole and quadrupole resonances. The K dependence of the quadrupole transition strengths is largely understood by the anisotropy of density distribution.

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Section: B Numerical Proceduressupporting

confidence: 65%

Isovector giant monopole and quadrupole resonances in a Skyrme energy density functional approach with axial symmetry

Yoshida

2021

Phys. Rev. C

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“…Note that the pnQRPA calculations including the dynamic spin-triplet pairing with more or less the same strength as the spin-singlet pairing describe well the characteristic low-lying Gamow-Teller strength distributions in the light N Z nuclei [26][27][28], and the β-decay half-lives of neutron-rich Ni isotopes [29]. Furthermore, the present theoretical framework describes well the measured giant resonances in light, medium-heavy, and heavy nuclei [12,24,[30][31][32][33][34][35][36], and low-lying collective modes of vibration [12,[37][38][39][40][41].…”

Section: B Numerical Proceduressupporting

confidence: 65%

Isovector giant monopole and quadrupole resonances in a Skyrme energy density functional approach with axial symmetry

Yoshida

2021

Preprint

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Background: Giant resonance (GR) is a typical collective mode of vibration. The deformation splitting of the isovector (IV) giant dipole resonance is well established. However, the splitting of GRs with other multipolarities is not well understood.Purpose: I explore the IV monopole and quadrupole excitations and attempt to obtain the generic features of IV giant resonances in deformed nuclei by investigating the neutral and charge-exchange channels simultaneously.Method: I employ a nuclear energy-density functional (EDF) method: the Skyrme-Kohn-Sham-Bogoliubov and the quasiparticle random-phase approximation are used to describe the ground state and the transition to excited states.Results: I find the concentration of the monopole strengths in the energy region of the isobaric analog or Gamow-Teller resonance irrespective of nuclear deformation, and the appearance of a high-energy giant resonance composed of the particle-hole configurations of 2 ω0 excitation. Splitting of the distribution of the strength occurs in the giant monopole and quadrupole resonances due to deformation. The lower K states of quadrupole resonances appear lower in energy and possess the enhanced strengths in the prolate configuration, and vice versa in the oblate configuration, while the energy ordering depending on K is not clear for the J = 1 and J = 2 spin-quadrupole resonances. Conclusions:The deformation splitting occurs generously in the giant monopole and quadrupole resonances. The K-dependence of the quadrupole transition strengths is largely understood by the anisotropy of density distribution.

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“…In the present calculation scheme, the QRPA equation is block diagonalized according to the quantum number K = α + β . The present theoretical framework describes well the giant resonances in light, medium-heavy, and heavy deformed nuclei [31,[34][35][36][37][38][39][40][41].…”

Section: A Kohn-sham-bogoliubov and Quasiparticle-random-phase Approx...mentioning

confidence: 59%

Pairing and nonaxial-shape correlations in N=150 isotones

Yoshida

2021

Phys. Rev. C

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Background: Rotational bands have been measured around 250 Fm associated with strong deformed-shell closures. The K π = 2 − excited band emerges systematically in N = 150 isotones raging from plutonium to nobelium with even-Z numbers, and a sharp drop in energies was observed in californium.Purpose: I attempt to uncover the microscopic mechanism for the appearance of such a low-energy 2 − state in 248 Cf. Furthermore, I investigate the possible occurrence of the low-energy K π = 2 + state, the γ vibration, to elucidate the mechanism that prefers the simultaneous breaking of the reflection and axial symmetry to the breaking of the axial symmetry alone in this mass region.Method: I employ a nuclear energy-density functional (EDF) method: the Skyrme-Kohn-Sham-Bogoliubov and the quasiparticle random-phase approximation are used to describe the ground state and the transition to excited states. Results:The Skyrme-type SkM* and SLy4 functionals reproduce the fall in energy but not the absolute value of the K π = 2 − state at Z = 98 where the proton two-quasiparticle excitation [633]7/2 ⊗ [521]3/2 plays a decisive role for the peculiar isotonic dependence. I find interweaving roles by the pairing correlation of protons and the deformed-shell closure at Z = 98. The SkM* model predicts the K π = 2 − state appears lower in energy in 246 Cf than in 248 Cf as the Fermi level of neutrons is located in between the [622]5/2 and the [734]9/2 orbitals. Except for 250 Fm in the SkM* calculation, the K π = 2 + state is predicted to appear higher in energy than the K π = 2 − state because the quasiproton [521]1/2 orbital is located above the [633]7/2 orbital. Conclusions:A systematic study of low-lying collective states in heavy actinide nuclei provides a rigorous testing ground for microscopic nuclear models. The present paper shows a need for improvements in the EDFs to describe pairing correlations and shell structures in heavy nuclei, that are indispensable in predicting the heaviest nuclei.

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Skyrme energy-density functional approach to collective dynamics

Cited by 5 publications

References 19 publications

Isovector giant monopole and quadrupole resonances in a Skyrme energy density functional approach with axial symmetry

Isovector giant monopole and quadrupole resonances in a Skyrme energy density functional approach with axial symmetry

Isovector giant monopole and quadrupole resonances in a Skyrme energy density functional approach with axial symmetry

Pairing and nonaxial-shape correlations in N=150 isotones

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