Microscopic calculation of interacting boson model parameters by potential-energy surface mapping

Bentley, Ian; Frauendorf, S.

doi:10.1103/physrevc.83.064322

Cited by 25 publications

(16 citation statements)

References 27 publications

(30 reference statements)

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“…Ref. [28] discusses this procedure of determining the equilibrium deformation called AutoTAC in more detail. The resulting deformations are comparable with those from Ref.…”

Section: Determination Of the Model Parametersmentioning

confidence: 99%

Relation between Wigner energy and proton-neutron pairing

Bentley

Frauendorf

2013

Phys. Rev. C

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The linear term proportional to |N − Z| in the nuclear symmetry energy (Wigner energy) is obtained in a model that uses isovector pairing on single particle levels from a deformed potential combined with a T 2 interaction. The pairing correlations are calculated by numerical diagonalization of the pairing Hamiltonian acting on the six or seven levels nearest the N = Z Fermi surface. The experimental binding energies of nuclei with N ≈ Z are well reproduced. The Wigner energy emerges as a consequence of restoring isospin symmetry. We have found the Wigner energy to be insensitive to the presence of moderate isoscalar pair correlations.

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“…Ref. [28] discusses this procedure of determining the equilibrium deformation called AutoTAC in more detail. The resulting deformations are comparable with those from Ref.…”

Section: Determination Of the Model Parametersmentioning

confidence: 99%

Relation between Wigner energy and proton-neutron pairing

Bentley

Frauendorf

2013

Phys. Rev. C

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“…[27], potential energy surface (PES) calculations for Ru isotopes were carried out with Hartree-Fock (HF) and interacting boson models, and shallow triaxial minima were found for N = 64 − 70 (see also Ref. [28]). In the self-consistent Hartree-Fock Bogoliubov study of Ref.…”

Section: Introductionmentioning

confidence: 99%

Theoretical study of triaxial shapes of neutron-rich Mo and Ru nuclei

et al. 2015

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Background: Whether atomic nuclei can possess triaxial shapes at their ground states is still a subject of ongoing debate. According to theory, good prospects for low-spin triaxiality are in the neutron-rich Mo-Ru region. Recently, transition quadrupole moments in rotational bands of even-mass neutron-rich isotopes of molybdenum and ruthenium nuclei have been measured. The new data have provided a challenge for theoretical descriptions invoking stable triaxial deformations.Purpose: To understand experimental data on rotational bands in the neutron-rich Mo-Ru region, we carried out theoretical analysis of moments of inertia, shapes, and transition quadrupole moments of neutron-rich even-even nuclei around 110 Ru using self-consistent mean-field and shell model techniques.Methods: To describe yrast structures in Mo and Ru isotopes, we use nuclear Density Functional Theory (DFT) with the optimized energy density functional UNEDF0. We also apply Triaxial Projected Shell Model (TPSM) to describe yrast and positive-parity, near-yrast band structures.Results: Our self-consistent DFT calculations predict triaxial ground-state deformations in 106,108 Mo and 108.110,112 Ru and reproduce the observed low-frequency behavior of moments of inertia. As the rotational frequency increases, a negative-γ structure, associated with the aligned ν(h 11/2 ) 2 pair, becomes energetically favored. The computed transition quadrupole moments vary with angular momentum, which reflects deformation changes with rotation; those variations are consistent with experiment. The TPSM calculations explain the observed band structures assuming stable triaxial shapes. Conclusions:The structure of neutron-rich even-even nuclei around 110 Ru is consistent with triaxial shape deformations. Our DFT and TPSM frameworks provide a consistent and complementary description of experimental data.

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“…Recently work was published [25] where ground-state deformation parameters β and γ for stable Kr, Xe, Ba, and Sm isotopes were calculated using the eigenvalues of corresponding IBA-1 calculations, and the resulting modifications of the equilibrium deformations as taken from LDM compilations [19] were listed. With the exception of two well deformed nuclei γ-values between 17 and 30 deg found and this may be considered an indication of triaxiality, be it static or dynamic.…”

Section: Level Energies and Transition Ratesmentioning

confidence: 99%

Experimental Signals for Broken Axial Symmetry in Excited Heavy Nuclei from the Valley of Stability

Grosse¹,

Junghans²

2018

Acta Phys. Pol. B Proc. Suppl.

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An increasing number of experimental data indicates the breaking of axial symmetry in many heavy nuclei already in the valley of stability: Multiple Coulomb excitation analysed in a rotation invariant way, gamma transition rates and energies in odd nuclei, mass predictions, the splitting of Giant Resonances (GR), the collective enhancement of nuclear level densities and Maxwellian averaged neutron capture cross sections. For the interpretation of these experimental observations the axial symmetry breaking shows up in nearly all heavy nuclei as predicted by Hartree-Fock-Bogoliubov (HFB) calculations [1] ; this indicates a nuclear Jahn-Teller effect. We show that nearly no parameters remain free to be adjusted by separate fitting to level density or giant resonance data, if advance information on nuclear deformations, radii etc. are taken from such calculations with the force parameters already fixed. The data analysis and interpretation have to include the quantum mechanical requirement of zero point oscillations and the distinction between static vs. dynamic symmetry breaking has to be regarded. PACS numbers: PACS numbers come here(1)

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Microscopic calculation of interacting boson model parameters by potential-energy surface mapping

Cited by 25 publications

References 27 publications

Relation between Wigner energy and proton-neutron pairing

Relation between Wigner energy and proton-neutron pairing

Theoretical study of triaxial shapes of neutron-rich Mo and Ru nuclei

Experimental Signals for Broken Axial Symmetry in Excited Heavy Nuclei from the Valley of Stability

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