Fingerprints of Reflection Asymmetry at High Angular Momentum in Atomic Nuclei

Garrote, E.; Egido, J.L.; Robledo, L. M.

doi:10.1103/physrevlett.80.4398

Cited by 68 publications

(48 citation statements)

References 26 publications

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“…Additionally, collective coordinates are also restricted to quadrupole deformations, q ≡ (β 2 ,γ ), although other degrees of freedom such as octupole deformation and parity projection [26,27], pairing fluctuations [28], cranking frequencies [12,13], and some others [29] have been successfully implemented, but require a much larger computational burden.…”

Section: Symmetry Conserving Configuration Mixing Methodsmentioning

confidence: 99%

Occupation numbers of spherical orbits in self-consistent beyond-mean-field methods

2016

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We present a method to compute the number of particles occupying spherical single-particle (SSP) levels within the energy density functional (EDF) framework. These SSP levels are defined for each nucleus by performing self-consistent mean-field calculations. The nuclear many-body states, in which the occupation numbers are evaluated, are obtained with a symmetry conserving configuration mixing (SCCM) method based on the Gogny EDF. The method allows a closer comparison between EDF and shell model with configuration mixing in large valence spaces (SM-CI) results, and can serve as a guidance to define physically sound valence spaces for SM-CI calculations. As a first application of the method, we analyze the onset of deformation in neutron-rich N = 40 isotones and the role of the SSP levels around this harmonic oscillator magic number, with particular emphasis in the structure of 64 Cr.

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Section: Symmetry Conserving Configuration Mixing Methodsmentioning

confidence: 99%

Occupation numbers of spherical orbits in self-consistent beyond-mean-field methods

2016

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“…In addition, one needs some model consideration to interpret the SM results. On the other hand, various cranking Hartree-FockBogoliubov (HFB) calculations (cf [16,17,18]) provide a reliable analysis of the backbending for medium and heavy systems. As a rule, low-lying rotational bands are described within the cranking model with a principal axis (PAC) rotation.…”

Section: Introductionmentioning

confidence: 99%

Microscopic analysis of shape-phase transitions in even-evenN~90rotating nuclei

Kvasil

Nazmitdinov

2006

Phys. Rev. C

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We study in cranked Nilsson plus random phase approximation shape transitions in fast rotating nuclei undergoing backbending, more specifically 156 Dy and 162 Yb. We found that a backbending in 156 Dy is correlated with the disappearance of the collective, positive signature γ-vibrational mode in the rotating frame, and, a shape transition (axial→ nonaxial) is accompanied with a large acquiring of the γ deformation. We show that such a shape transition can be considered as a phase transition of the first order. In 162 Yb the quasiparticle alignment dominates in the backbending and the shape transition (axial→ nonaxial) is accompanied with a smooth transition from zero to nonzero values of the γ deformation. We extend the classical Landau theory for rotating nuclei and show that the backbending in 162 Y b is identified with the second order phase transition. A description of spectral and decay properties of the yrast states and low-lying excitations demonstrates a good agreement between our results and experimental data.

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“…[ [1][2][3][4][5][6]. A competing methodology is based on the quasiparticle random phase approximation; recent application to octupole modes may be found in Refs.…”

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confidence: 99%

Global systematics of octupole excitations in even-even nuclei

2011

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We present a computational methodology for a theory of the lowest octupole excitations applicable to all even-even nuclei beyond the lightest. The theory is the well-known generator-coordinate extension (GCM) of the Hartree-Fock-Bogoliubov self-consistent mean field theory (HFB). We use the discrete-basis Hill-Wheeler method (HW) to compute the wave functions with an interaction from the Gogny family of Hamiltonians. Comparing to the compiled experimental data on octupole excitations, we find that the performance of the theory depends on the deformation characteristics of the nucleus. For nondeformed nuclei, the theory reproduces the energies to about ±20 % apart from an overall scale factor of ≈ 1.6. The performance is somewhat poorer for (quadrupole) deformed nuclei, and for both together the dispersion of the scaled energies about the experimental values is about ±25 %. This compares favorably with the performance of similar theories of the quadrupole excitations. Nuclei having static octupole deformations in HFB form a special category. These nuclei have the smallest measured octupole excitation energies as well as the smallest predicted energies. However, in these cases the energies are seriously underpredicted by the theory.We find that a simple two-configuration approximation, the Minimization After Projection method,

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Fingerprints of Reflection Asymmetry at High Angular Momentum in Atomic Nuclei

Cited by 68 publications

References 26 publications

Occupation numbers of spherical orbits in self-consistent beyond-mean-field methods

Occupation numbers of spherical orbits in self-consistent beyond-mean-field methods

Microscopic analysis of shape-phase transitions in even-evenN~90rotating nuclei

Global systematics of octupole excitations in even-even nuclei

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