Shell-model-like approach based on cranking covariant density functional theory with a separable pairing force

Xiong, BinWu

doi:10.48550/arxiv.1908.03561

Cited by 1 publication

(1 citation statement)

References 64 publications

(98 reference statements)

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“…It turns out that reasonable agreement with experiment is obtained in cranking CDFT-SLAP with only monopole pairing [27]; recent investigation of Ref. [115] has shown that with renormalized pairing strengths the cranking CDFT-SLAP results with monopole pairing are quite similar to those obtained with the separable pairing force of Ref. [116].…”

Section: A the Shell-model-like Approachsupporting

confidence: 55%

Rotational excitations in rare-earth nuclei: a comparative study within three cranking models with different mean fields and the treatments of pairing correlations

Zhang,

Huang,

Afanasjev

2020

Preprint

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High-spin rotational bands in rare-earth Er (Z = 68), Tm (Z = 69) and Yb (Z = 70) isotopes are investigated by three different nuclear models. These are (i) the cranked relativistic Hartree-Bogoliubov (CRHB) approach with approximate particle number projection by means of the Lipkin-Nogami (LN) method, (ii) the cranking covariant density functional theory (CDFT) with pairing correlations treated by a shell-model-like approach (SLAP) or the so called particle-number conserving (PNC) method, and (iii) cranked shell model (CSM) based on the Nilsson potential with pairing correlations treated by the PNC method. A detailed comparison between these three models in the description of the ground state rotational bands of even-even Er and Yb isotopes is performed. The similarities and differences between these models in the description of the moments of inertia, the features of band crossings, equilibrium deformations and pairing energies of even-even nuclei under study are discussed. These quantities are considered as a function of rotational frequency and proton and neutron numbers. The changes in the properties of the first band crossings with increasing neutron number in this mass region are investigated. On average, a comparable accuracy of the description of available experimental data is achieved in these models. However, the differences between model predictions become larger above the first band crossings. Because of time-consuming nature of numerical calculations in the CDFT-based models, a systematic study of the rotational properties of both ground state and excited state bands in odd-mass Tm nuclei is carried out only by the PNC-SCM. With few exceptions, the rotational properties of experimental 1-quasiparticle and 3-quasiparticle bands in 165,167,169,171 Tm are reproduced reasonably well. The appearance of backbendings or upbendings in these nuclei is well understood from the analysis of the variations of the occupation probabilities of the single-particle states and their contributions to total angular momentum alignment with rotational frequency.

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Section: A the Shell-model-like Approachsupporting

confidence: 55%