Accuracy of the new pairing theory and its improvement

Jia, Lu

doi:10.1103/physrevc.88.064321

Cited by 10 publications

(14 citation statements)

References 28 publications

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“…Note that similar approaches to treat pairing correlations with exactly conserved particle number can be found in Refs. [82,[110][111][112][113][114].…”

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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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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“…Note that similar approaches to treat pairing correlations with exactly conserved particle number can be found in Refs. [82,[110][111][112][113][114].…”

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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“…Similar exact particle-number conserving approaches can be found in Refs. [33][34][35][36][37][38]. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Configuration and bandhead spin assignments for the two-quasiparticle rotational bands in the neutron-rich nuclei Pm154,156

2019

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The rotational bands in the neutron-rich nuclei 153−157 Pm are investigated by a particle-number conserving method. The kinematic moments of inertia for the 1-quasiparticle bands in odd-A Pm isotopes 153,155,157 Pm are reproduced quite well by the present calculation. By comparison between the experimental and calculated moments of inertia for the three 2-quasiparticle bands in the oddodd nuclei 154,156 Pm, their configurations and bandhead spins have been assigned properly. For the 2-quasiparticle band in 154 Pm, the configuration is assigned as π5/2 − [532] ⊗ ν3/2 − [521] (K π = 4 + ) with the bandhead spin I0 = 4 . In 156 Pm, the same configuration and bandhead spin assignments have been made for the 2-quasiparticle band with lower excitation energy. The configuration π5/2 + [413] ⊗ ν5/2 + [642] (K π = 5 + ) with the bandhead spin I0 = 5 is assigned for that with higher excitation energy.

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“…Similar approaches to treat pairing correlations with exactly conserved particle number can be found in Refs. [49][50][51][52][53][54].…”

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. ...

show abstract

Accuracy of the new pairing theory and its improvement

Cited by 10 publications

References 28 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

Configuration and bandhead spin assignments for the two-quasiparticle rotational bands in the neutron-rich nuclei Pm154,156

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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