Microscopic description of quadrupole-octupole coupling in neutron-rich actinides and superheavy nuclei with the Gogny-D1M energy density functional

Rodrı́guez-Guzmán, R.; Robledo, L. M.

doi:10.1103/physrevc.103.044301

Cited by 21 publications

(22 citation statements)

References 86 publications

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“…As a consequence, projectionafter-variation (PAV) techniques are employed to restore the broken symmetries and calculate observables with good quantum numbers [33][34][35][36][37][38][39][40][41]. PAV calculations have been applied to study the octupole deformations in Ra isotopes based on shell model wave functions [42], in Ra isotopes [43] and 20 Ne [44] based on RHB wave functions, in Ba, Ra isotopes [45,46], Zr isotopes [47], 16 O [48], actinides, superheavies [49] and other nuclei [50] based on HFB wave functions. There are also theoretical investigations of octupole deformations based on the multi-dimensional collective Hamitonian [51,52] and the interacting boson model [53].…”

Section: Introductionmentioning

confidence: 99%

Static octupole deformations in $^{96}$Zr from angular momentum and parity projections

Rong¹,

Lü²

2022

Preprint

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The shapes of zirconium isotopes remain an unsettled question drawing many interests. Recent analysis based on the STAR measurement in relativistic heavy-ion collision experiments provide evidences of non-zero β 30 in the ground state of 96 Zr [1], however, conventional nuclear structure models do not favour these pear-like shapes. To resolve this issue, in this work we perform systematic projection-after-variation calculations for 96 Zr based on the multidimensionally constrained relativistic Hartree-Bogoliubov model. We consider all β λµ with even µ simultaneously and present selected potential energy surfaces (PES's) and projected PES's with certain angular momentum and parity combinations. While the mean-field calculations always predict reflection-symmetric ground states, static octupole deformations emerge after projecting to the 0 + state. We find that β 20 , β 22 , β 30 and β 32 are all necessary for describing the ground state and their values vary significantly for excited states with different angular momenta and parities. These complex structures originate from the competition among various shell structures in this mass region. Our results suggest that both beyond-mean-field effects and exotic shapes are essential elements for understanding the structure of 96 Zr.

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Section: Introductionmentioning

confidence: 99%

Static octupole deformations in $^{96}$Zr from angular momentum and parity projections

Rong¹,

Lü²

2022

Preprint

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“…[36] for a review and references therein). In particular spectroscopic studies involving collective degrees of freedom have been carried out within the symmetry-projected generator coordinate method (GCM) [33] using the Gogny forces and involving different levels of sophistication [36,[42][43][44][45][46][47][48]. Furthermore, the mapping procedure leading to an IBM Hamiltonian from microscopic Gogny mean-field input has already shown its ability to describe spectroscopic properties associated with shape phase transitions, shape coexistence, and octupole deformations in nuclei [49][50][51][52][53][54][55][56].…”

Section: Introductionmentioning

confidence: 99%

Simultaneous description of β decay and low-lying structure of neutron-rich even- and odd-mass Rh and Pd nuclei

Nomura

Rodrı́guez-Guzmán

et al. 2022

Phys. Rev. C

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The low-energy structure and β-decay properties of neutron-rich even-and odd-mass Pd and Rh nuclei are studied using a mapping framework based on the nuclear density-functional theory and the particle-boson coupling scheme. Constrained Hartree-Fock-Bogoliubov calculations using the Gogny-D1M energy density functional are performed to obtain microscopic inputs to determine the interacting-boson Hamiltonian employed to describe the even-even core Pd nuclei. The mean-field calculations also provide single-particle energies for the odd systems, which are used to determine essential ingredients of the particle-boson interactions for the odd-nucleon systems, and of the Gamow-Teller and Fermi transition operators. The potential-energy surfaces obtained for even-even Pd isotopes as well as the spectroscopic properties for the even-and odd-mass systems suggest a transition from prolate deformed to γ -unstable and to nearly spherical shapes. The predicted β-decay log f t values are shown to be sensitive to the details of the wave functions for the parent and daughter nuclei and therefore serve as a stringent test of the employed theoretical approach.

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“…From a theoretical point of view, octupole related properties have been investigated using a variety of approaches, such as macroscopic-microscopic models [19][20][21], self-consistent mean-field (SCMF) and beyond-mean-field ap-* knomura@phy.hr proaches , interacting boson models (IBM) [52][53][54][55][56][57][58][59][60][61][62][63][64], geometrical collective models [65][66][67], and cluster models [68,69]. Octupole correlations have also been studied within the framework of the symmetry-projected generator coordinate method (GCM) [41,49,50,70,71]. However, those symmetry-conserving GCM calculations are quite time consuming and alternative schemes, such as the use of a collective Hamiltonian obtained via the Gaussian overlap approximation (GOA), have also been considered [45,51].…”

Section: Introductionmentioning

confidence: 99%

Quadrupole-octupole coupling and the evolution of collectivity in neutron-deficient Xe, Ba, Ce, and Nd isotopes

2021

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The evolution of quadrupole and octupole collectivity in neutron-deficient Xe, Ba, Ce, and Nd nuclei near the "octupole magic" neutron number N = 56 is investigated within the mapped sdf -IBM framework. Microscopic input is obtained via quadrupole and octupole constrained Hartree-Fock-Bogoliubov calculations, based on the parametrization D1M of the Gogny energy density functional. Octupole-deformed mean-field ground states are predicted for Ba and Ce isotopes near N = 56. Excitation energies of positive-and negative-parity states as well as electric transition rates are computed with wave functions resulting from the diagonalization of the mapped IBM Hamiltonian. The parameters of the Hamiltonian are determined via the mapping of the mean-field potential energy surfaces onto the expectation value of the Hamiltonian in the condensate state of the s, d, and f bosons. Enhanced octupolarity is predicted for Xe, Ba, and Ce isotopes near N = 56. The shape/phase transition from octupole-deformed to strongly quadrupole-deformed near N = 60 is analyzed in detail.

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Microscopic description of quadrupole-octupole coupling in neutron-rich actinides and superheavy nuclei with the Gogny-D1M energy density functional

Cited by 21 publications

References 86 publications

Static octupole deformations in $^{96}$Zr from angular momentum and parity projections

Static octupole deformations in $^{96}$Zr from angular momentum and parity projections

Simultaneous description of β decay and low-lying structure of neutron-rich even- and odd-mass Rh and Pd nuclei

Quadrupole-octupole coupling and the evolution of collectivity in neutron-deficient Xe, Ba, Ce, and Nd isotopes

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