Global analysis of quadrupole shape invariants based on covariant energy density functionals

Quan, S.; Chen, Q; Li, Zhipan; Nikšić, Tamara; Vretenar, Dario

doi:10.1103/physrevc.95.054321

Cited by 29 publications

(45 citation statements)

References 72 publications

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“…The relativistic functional PC-PK1 was adjusted to the experimental masses of a set of 60 spherical nuclei along isotopic or isotonic chains, and to the charge radii of 17 spherical nuclei. PC-PK1 has been successfully employed in studies of nuclear masses [59,60], and spectroscopy of low-lying quadrupole states [61].…”

Section: Introductionmentioning

confidence: 99%

Spectroscopy of reflection-asymmetric nuclei with relativistic energy density functionals

Xia

Tao

et al. 2017

Phys. Rev. C

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Quadrupole and octupole deformation energy surfaces, low-energy excitation spectra and transition rates in fourteen isotopic chains: Xe, Ba, Ce, Nd, Sm, Gd, Rn, Ra, Th, U, Pu, Cm, Cf, and Fm, are systematically analyzed using a theoretical framework based on a quadrupole-octupole collective Hamiltonian (QOCH), with parameters determined by constrained reflection-asymmetric and axially-symmetric relativistic mean-field calculations. The microscopic QOCH model based on the PC-PK1 energy density functional and δ-interaction pairing is shown to accurately describe the empirical trend of low-energy quadrupole and octupole collective states, and predicted spectroscopic properties are consistent with recent microscopic calculations based on both relativistic and non-relativistic energy density functionals. Low-energy negative-parity bands, average octupole deformations, and transition rates show evidence for octupole collectivity in both mass regions, for which a microscopic mechanism is discussed in terms of evolution of single-nucleon orbitals with deformation.

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Section: Introductionmentioning

confidence: 99%

Spectroscopy of reflection-asymmetric nuclei with relativistic energy density functionals

Xia

Tao

et al. 2017

Phys. Rev. C

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“…Direct information on the proton-neutron interaction can be obtained, for example, from odd-odd nuclei around double shell closures, by studying multiplets arising from correlations between valence particles. Of special interest are nuclei like (i) 134 Sb, located north-east of 132 Sn, with one proton valence particle and one neutron valence particle, and (ii) the one proton hole-one neutron particle nucleus 208 Tl, situated south-east of 208 Pb. Predictions for the multiplets up to 3.5 MeV excitation energy in 134 Sb (negative parity) and 208 Tl (positive parity), obtained from shell-model calculations using realistic interactions [19], are shown on the right hand side.…”

Section: And Includementioning

confidence: 99%

Physics opportunities with the Advanced Gamma Tracking Array: AGATA

et al. 2020

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New physics opportunities are opening up by the Advanced Gamma Tracking Array, AGATA, as it evolves to the full 4π instrument. AGATA is a high-resolution γ-ray spectrometer, solely built from highly segmented high-purity Ge detectors, capable of measuring γ rays from a few tens of keV to beyond 10 MeV, with unprecedented efficiency, excellent position resolution for individual γ-ray interactions, and very high count-rate capability. As a travelling detector AGATA will be employed at all major current and near-future European research facilities delivering stable and radioactive ion beams.

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“…[35,36]. The model has been extensively applied to describe the nuclear collective properties, such as the phase transitions, shape coexistence, and the low-lying spectra along the isotopic and isotonic chains in different mass regions [62,[69][70][71][72]. It should be emphasized that the model includes the full quadrupole deformed configurations, namely, the whole β-γ plane is adopted, and for each deformed configuration, the whole single-particle space is included.…”

Section: Analysis Of the Low-lying Spectroscopy Using A Five-dimenmentioning

confidence: 99%

β and γ bands in N=88 , 90, and 92 isotones investigated with a five-dimensional collective Hamiltonian based on covariant density functional theory: Vibrations, shape coexistence, and superdeforma

Majola¹,

Shi²,

Song³

et al. 2019

Phys. Rev. C

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A comprehensive systematic study is made for the collective β and γ bands in even-even isotopes with neutron numbers N = 88 to 92 and proton numbers Z = 62 (Sm) to 70 (Yb). Data, including excitation energies, B(E 0) and B(E 2) values, and branching ratios from previously published experiments are collated with new data presented for the first time in this study. The experimental data are compared to calculations using a five-dimensional collective Hamiltonian (5DCH) based on the covariant density functional theory (CDFT). A realistic potential in the quadrupole shape parameters V (β, γ) is determined from potential energy surfaces (PES) calculated using the CDFT. The parameters of the 5DCH are fixed and contained within the CDFT. Overall, a satisfactory agreement is found between the data and the calculations. In line with the energy staggering S(I) of the levels in the 2 γ + bands, the potential energy surfaces of the CDFT calculations indicate γ-soft shapes in the N = 88 nuclides, which become γ rigid for N = 90 and N = 92. The nature of the 0 2 + bands changes with atomic number. In the isotopes of Sm to Dy, they can be understood as β vibrations, but in the Er and Yb isotopes the 0 2 + bands have wave functions with large components in a triaxial superdeformed minimum. In the vicinity of 152 Sm, the present calculations predict a soft potential in the β direction but do not find two coexisting minima. This is reminiscent of 152 Sm exhibiting an X (5) behavior. The model also predicts that the 0 3 + bands are of two-phonon nature, having an energy twice that of the 0 2 + band. This is in contradiction with the data and implies that other excitation modes must be invoked to explain their origin.

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Global analysis of quadrupole shape invariants based on covariant energy density functionals

Abstract: Background Coexistence of different geometric shapes at low energies presents a universal struc-

Cited by 29 publications

References 72 publications

Spectroscopy of reflection-asymmetric nuclei with relativistic energy density functionals

Spectroscopy of reflection-asymmetric nuclei with relativistic energy density functionals

Physics opportunities with the Advanced Gamma Tracking Array: AGATA

β and γ bands in N=88 , 90, and 92 isotones investigated with a five-dimensional collective Hamiltonian based on covariant density functional theory: Vibrations, shape coexistence, and superdeforma

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