A systematic study of the superdeformation of Pb isotopes with relativistic mean field theory

Guo, Jian-You; Sheng, Zong-Qiang; Fang, Xiang-Zheng

doi:10.1088/1674-1137/32/11/008

Cited by 2 publications

(1 citation statement)

References 50 publications

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“…The existence of superdeformed states and their fundamental properties has been predicted within the different theoretical approaches. These approaches include the Strutinsky method with a Woods-Saxon potential [73], the Hartree-Fock-Bogoliubov (HFB) model with different Skyrme forces [74][75][76], with a Gogny force [77], the cluster model [78], and the relativistic mean-field (RMF) theory [79][80][81]. These models have predicted exactly the excitation energies and well depth of SD states.…”

Section: Introductionmentioning

confidence: 99%

Triple-shape Coexistence and Superdeformation in Pb Isotopes

Naz¹,

Ahmad²,

Abusara³

2018

Acta Phys. Pol. B

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Triple-shape coexistence and superdeformation in Pb isotopes with neutron numbers N = 96-138 is studied. The constrained calculations are performed within the Relativistic Hartree-Bogoliubov (RHB) model using DD-ME2, DD-PC1, and NL3* force parameters, and pairing interaction separable in momentum space. Triple-shape coexistence (spherical, prolate and oblate) manifests themselves in a clear manner in 184−190 Pb nuclei with axial RHB calculations. Triaxial RHB calculations further confirm the findings. Superdeformed minimum is observed for 188−220 Pb isotopes, and the corresponding excitation energy, deformation and depth of well are comparable within different force parameters used. The behaviour with neutron number of the superdeformed excitation energy, two-neutron separation energy in the ground state and superdeformed minimum, and its differential are fairly reproducing the trend of the available experimental data. The present numerical results are compared with Macro-microscopic Finite Range Droplet Model (FRDM) and Hartree-Fock-Bogoliubov (HFB) model based on the interaction Gogny-D1S force. Overall, a fairly satisfactory agreement is found within the different force parameters and the calculated and experimental results.

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Section: Introductionmentioning

confidence: 99%

Triple-shape Coexistence and Superdeformation in Pb Isotopes

Naz¹,

Ahmad²,

Abusara³

2018

Acta Phys. Pol. B

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The description of nuclear superdeformed rotational bands in A∼190 region with pq formula

Yao¹,

Zeng²

2022

Int. J. Mod. Phys. E

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The nuclear superdeformed (SD) rotational bands in [Formula: see text] mass region were systematically analyzed with the two-parameter [Formula: see text] formula. The study of the observed transition energies by using the best-fitting method shows that the [Formula: see text] formula can provide excellent descriptions of the SD bands. The analysis of two types of moments of inertia ([Formula: see text] and [Formula: see text]) and bandhead moment of inertia ([Formula: see text]) also demonstrates the reliability of the [Formula: see text] formula in describing the SD bands. Finally, by using the [Formula: see text] formula, the unobserved transition energies for the lower and higher spin regions were predicted herein.

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A systematic study of the superdeformation of Pb isotopes with relativistic mean field theory

Abstract: A systematic study of the superdeformation of Pb isotopes with relativistic mean field theory * GUO Jian-You( ) 1;1) SHENG Zong-Qiang( ) 2 FANG Xiang-Zheng( ) 1

Cited by 2 publications

References 50 publications

Triple-shape Coexistence and Superdeformation in Pb Isotopes

Triple-shape Coexistence and Superdeformation in Pb Isotopes

The description of nuclear superdeformed rotational bands in A∼190 region with pq formula

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