Multi-quasiparticle rotational bands in neutron-rich erbium isotopes

Fu, X. M.; Jiao, Cuicui; Fang, Xu; Zhang, Zhenhua

doi:10.1007/s11433-013-5165-7

Cited by 17 publications

(8 citation statements)

References 47 publications

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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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Section: Introductionmentioning

confidence: 99%

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

Zhang¹,

Huang²

2019

Nuclear Physics A

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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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“…The PNC-CSM has already been used successfully for describing the odd-even differences in MOI's [29], the identical bands [30][31][32][33], the nonadditivity in MOI's [34][35][36], the nuclear pairing phase transition [37], the high-spin rotational bands in the rareearth [38][39][40][41][42][43][44][45], the actinide and superheavy nuclei [46][47][48][49][50], and the nuclear antimagnetic rotation [51]. Note that the PNC scheme has been implanted both in relativistic and nonrelativistic mean field models [52,53] and the total-Routhian-surface method with the WoodsSaxon potential [54,55]. Very recently, PNC method based on the cranking Skyrme-Hartree-Fock model has been developed [56].…”

Section: Introductionmentioning

confidence: 99%

Investigation of the high-spin rotational properties of the proton emitter ¹¹³ Cs using a particle-number conserving method

Zhang¹,

Xu²

2017

Chinese Phys. C

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Abstract:The recently observed two high-spin rotational bands in the proton emitter 113 Cs are 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. By using the configuration assignments of band 1 (π3/2 + [422], α = −1/2) and band 2 (π1/2 + [420], α = 1/2), the experimental moments of inertia and quasiparticle alignments can be well reproduced by the present calculations, which in turn strongly support these configuration assignments. Furthermore, by analyzing the occupation probability nµ of each cranked Nilsson level near the Fermi surface and the contribution of each orbital to the angular momentum alignments, the backbending mechanism of these two bands is also investigated.

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Multi-quasiparticle rotational bands in neutron-rich erbium isotopes

Cited by 17 publications

References 47 publications

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

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

Investigation of the high-spin rotational properties of the proton emitter ¹¹³ Cs using a particle-number conserving method

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Multi-quasiparticle rotational bands in neutron-rich erbium isotopes

Cited by 17 publications

References 47 publications

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

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

Investigation of the high-spin rotational properties of the proton emitter 113 Cs using a particle-number conserving method

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Investigation of the high-spin rotational properties of the proton emitter ¹¹³ Cs using a particle-number conserving method