Configuration-constrained cranking Hartree-Fock pairing calculations for sidebands of nuclei

Liang, W. Y.; Jiao, Cuicui; Wu, Qiang; Fu, X. M.; Fang, Xu

doi:10.1103/physrevc.92.064325

Cited by 26 publications

(18 citation statements)

References 56 publications

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“…can be represented by any mean field Hamiltonian. So far the SLAPs based on phenomenological Nilsson [28] and Woods-Saxon [91] potentials and non-relativistic (Skyrme Hartree-Fock approach [92]) and relativistic (CDFT [27]) DFTs have been developed. In the present work, we employ two SLAPs: one is based on microscopic cranked CDFT approach and another on phenomenological cranked Nilsson Hamiltonian.…”

Section: A the Shell-model-like Approachmentioning

confidence: 99%

“…In the SLAP/PNC approach, both particle number conservation and the Pauli blocking effects are treated exactly. Note that the SLAP/PNC method has been built into theoretical approaches based on CSM with the Nilsson [28] and Woods-Saxon [90,91] potentials as well as on those based on relativistic [88] and non-relativistic [92] DFTs. These methods have been successful in the description of different nuclear phenomena in rotating nuclei such as odd-even differences in MOI [93], identical bands [94,95], nuclear pairing phase transition [96], antimagnetic rotation [46,[97][98][99], and high-K rotational bands in the rare-earth nuclei [100][101][102][103][104], and rotational bands in actinides [105][106][107][108][109].…”

Section: Introductionmentioning

confidence: 99%

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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 Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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“…The PNC-CSM has been employed successfully for describing various nuclear phenomena, e.g., the oddeven differences in moments of inertia (MOIs) [33], identical bands [34,35], super-deformed bands [34,36] nuclear pairing phase transition [37], antimagnetic rotation [38,39], high-K isomers in the rare-earth [40,41,42,43] and actinide nuclei [44,45,46,47,48], etc. The PNC scheme has also been adopted both in non-relativistic [49,50] and relativistic mean-field models [51] and the total-Routhian-surface method with the Woods-Saxon potential [52,53]. Most recently, the shell-model-like approach, originally referred to as PNC method, based on the cranking covariant density functional theory has been developed [54].…”

Section: Introductionmentioning

confidence: 99%

Band crossings in 168Ta: A particle-number conserving analysis

Zhang¹,

Huang²

2019

Nuclear Physics A

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The structures of two observed high-spin rotational bands in the doubly-odd nucleus 168 Ta are investigated using the cranked shell model with pairing correlations treated by a particle-number conserving method, in which the blocking effects are taken into account exactly. The experimental moments of inertia and alignments are reproduced very well by the calculations, which confirms the configuration assignments for these two bands in previous works. The backbending and upbending mechanisms in these two bands are analyzed in detail by calculating the occupation probabilities of each orbital close to the Fermi surface and the contributions of each orbital to the total angular momentum alignments. The investigation shows that the level crossings in the first backbending is the neutron i 13/2 crossing and the in second upbending is the proton h 11/2 crossing.

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“…The PNC-CSM has been employed successfully for describing various phenomena, e.g., the odd-even differences in moments of inertia (MOIs) [28], identical bands [29,30], nuclear pairing phase transition [31], antimagnetic rotation [32,33], rotational bands and high-K isomers in the rare-earth [34][35][36][37][38] and actinide nuclei [39][40][41][42], etc. The PNC scheme has also been used both in relativistic and non-relativistic mean field models [43][44][45] and the total-Routhian-surface method with the Woods-Saxon potential [46,47]. Recently, the PNC method based on the cranking covariant density functional theory has been developed [48].…”

Section: Introductionmentioning

confidence: 99%

Systematic investigation of the high- K isomers and the high-spin rotational bands in the neutron-rich Nd and Sm isotopes by a particle-number conserving method

Zhang¹

2018

Phys. Rev. C

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The rotational properties of the neutron rich Nd and Sm isotopes with mass number A ≈ 150 are systematically investigated using the cranked shell model with pairing correlations treated by a particle-number conserving method, in which the Pauli blocking effects are taken into account exactly. The 2-quasiparticle states in even-even Nd and Sm isotopes with excitation energies lower than 2.5 MeV are systematically calculated. The available data can be well reproduced and some possible 2 and 4-quasiparticle isomers are also suggested for future experiments. The experimentally observed rotational frequency variations of moments of inertia for the even-even and odd-A nuclei are reproduced very well by the calculations. The effects of high-order deformation ε 6 on the 2-quasiparticle excitation energies and moments of inertia of the ground state bands in even-even Nd and Sm isotopes are analyzed in detail. By analyzing the occupation probability n µ of each cranked Nilsson orbitals near the Fermi surface and the contribution of each major shell to the angular momentum alignments, the alignment mechanism in these nuclei is understood clearly. * zhzhang@ncepu.edu.cn For the neutron rich rare-earth nuclei with mass number A ≈ 150, especially Nd (Z = 60) and Sm (Z = 62) isotopes, there are many novel phenomena, e.g., nuclear quantum phase transition from spherical to deformed shape [1,2], octupole vibration [3-5], K isomers [6], etc. From neutron number N = 92, the nuclei are well-deformed and possess prolate ground state rotational bands. In this mass region, there are several high-K orbitals around the proton and neutron Fermi surface, e.g., π5/2 + [413], π5/2 − [532], π7/2 − [523], ν5/2 − [523], ν5/2 + [642] and ν7/2 + [633]. Therefore, this may give rise to the formation of various high-K multi-quasiparticle (qp) isomers, which are particularly favorable for studying the blocking effects of the pairing correlations.Due to the high statistics, the spontaneous fission of the actinide nuclei has been used to populate the isomeric and high-spin states of neutron rich nuclei in A ≈ 150 mass region [7][8][9]. Up to now, using the spontaneous fission of 252 Cf [10-19] and in-flight fission of a 238 U beam on a 9 Be target [20][21][22], various high-K isomers and high-spin rotational bands for the neutron rich Nd and Sm isotopes, including both the even-even and the odd-A nuclei, have been established. Most recently, the lightest 4-qp high-K isomer in this mass region has been observed in 160 Sm [21]. These data can reveal detailed information on the singleparticle structure, shell structure, the high-K isomerism, etc., thus providing a benchmark for various nuclear models.Several nuclear models have been used to investigate the properties of these neutron rich nuclei, including quasiparticle rotor model [16,17], a mean-field type Hartree-Fock-Bogoliubov theory with Gogny force D1S [13], projected shell model [23,24] and potential energy surface calculations [20,21]. However, most of these models focus on the eveneven nuclei. ...

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Configuration-constrained cranking Hartree-Fock pairing calculations for sidebands of nuclei

Cited by 26 publications

References 56 publications

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

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

Band crossings in 168Ta: A particle-number conserving analysis

Systematic investigation of the high- K isomers and the high-spin rotational bands in the neutron-rich Nd and Sm isotopes by a particle-number conserving method

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