Selected Papers from the “7th Workshop on the Nuclear Mass Table with DRHBc Theory”

A special issue of Particles (ISSN 2571-712X).

Deadline for manuscript submissions: 15 February 2025 | Viewed by 3403

Special Issue Editors


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Guest Editor
School of Physics, Peking University, Beijing 100871, China
Interests: nuclear structure; nuclear astrophysics

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Guest Editor
Center for Exotic Nuclear Studies, Institute for Basic Science, Daejeon 34126, Republic of Korea
Interests: theoretical physics; nuclear theory

Special Issue Information

Dear Colleagues,

This Special Issue will host selected papers from the "7th workshop on the nuclear mass table with DRHBc theory", which was successfully held in Gangneung, Korea, from 1 to 4 July 2024 (https://indico.omeg.soongsil.ac.kr/event/46/). The Article Processing Charge (APC) for submissions from the workshop will be waived, and publication will be free of charge.

Dr. Shuangquan Zhang
Dr. Youngman Kim
Guest Editors

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Keywords

  • nuclear mass table
  • DRHBc theory
  • density functional theory
  • odd-Z nuclei
  • continuum and deformation

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Published Papers (5 papers)

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Research

13 pages, 387 KiB  
Article
Examination of Possible Proton Magic Number Z = 126 with the Deformed Relativistic Hartree-Bogoliubov Theory in Continuum
by Cong Pan and Xin-Hui Wu
Particles 2025, 8(1), 2; https://doi.org/10.3390/particles8010002 - 2 Jan 2025
Viewed by 529
Abstract
Whether Z=126 is a proton magic number has been controversial in nuclear physics. The even-even Ubh126 isotopes are calculated based on the DRHBc calculations with PC-PK1. The evolutions of quadrupole deformation and pairing energies for neutron and proton are analyzed [...] Read more.
Whether Z=126 is a proton magic number has been controversial in nuclear physics. The even-even Ubh126 isotopes are calculated based on the DRHBc calculations with PC-PK1. The evolutions of quadrupole deformation and pairing energies for neutron and proton are analyzed to study the possible nuclear magicity. Spherical shape occurs and neutron pairing energy vanishes at N=258 and 350, which are the results of possible neutron magicity, while the proton pairing energy never vanishes in Ubh isotopes, which does not support the proton magicity at Z=126. In the single-proton spectrum, there is no discernible gap at Z=126, while significant gaps appear at Z=120 and 138. Therefore, Z=126 is not supported as a proton magic number, while Z=120 and 138 are suggested as candidates of proton magic numbers. Full article
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11 pages, 383 KiB  
Article
Determining the Ground State for Superheavy Nuclei from the Deformed Relativistic Hartree–Bogoliubov Theory in Continuum
by Sibo Wang, Peng Guo and Cong Pan
Particles 2024, 7(4), 1139-1149; https://doi.org/10.3390/particles7040070 - 23 Dec 2024
Viewed by 459
Abstract
The deformed relativistic Hartree–Bogoliubov theory in continuum (DRHBc) has garnered significant attention for its ability to describe the properties of nuclei across the entire nuclear chart, from light to heavy nuclei, including both stable and exotic ones. As part of ongoing efforts to [...] Read more.
The deformed relativistic Hartree–Bogoliubov theory in continuum (DRHBc) has garnered significant attention for its ability to describe the properties of nuclei across the entire nuclear chart, from light to heavy nuclei, including both stable and exotic ones. As part of ongoing efforts to construct a mass table using the DRHBc theory, determining the ground states of nuclei is a crucial task in the systematic studies of deformed nuclei. In this work, a strategy for identifying the ground state in the superheavy nuclei region is proposed and evaluated, by taking Z=134 and 135 isotopes as examples. First, we examine how the step size of the initial quadrupole deformation parameter, Δβ2, affects the pattern of the potential energy curves (PECs) and the determination of the ground state. Our findings indicate that Δβ2=0.05 producing smooth and well-defined PECs while maintaining an acceptable numerical cost. Next, we explore the convergence of PECs with respect to the angular momentum cutoff, Jmax. Based on the results, we recommend using Jmax=31/2, especially for nuclei with competing oblate and prolate minima. Finally, we conclude that the accurate identification of the ground state can be achieved by performing unconstrained calculations around the minima of the PECs. Full article
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11 pages, 1378 KiB  
Article
Giant Halo in 66Ca Within Relativistic Continuum Hartree–Bogoliubov Theory Combined with Lipkin–Nogami Method
by Chang Zhou, Peng Guo and Xiaofei Jiang
Particles 2024, 7(4), 1128-1138; https://doi.org/10.3390/particles7040069 - 21 Dec 2024
Viewed by 472
Abstract
The impact of the Lipkin–Nogami (LN) method on a giant halo is investigated within the relativistic continuum Hartree–Bogoliubov (RCHB) theory. The ground-state properties of Ca isotopes obtained from RCHB and RCHB+LN calculations are presented. The results show that the LN correction does not [...] Read more.
The impact of the Lipkin–Nogami (LN) method on a giant halo is investigated within the relativistic continuum Hartree–Bogoliubov (RCHB) theory. The ground-state properties of Ca isotopes obtained from RCHB and RCHB+LN calculations are presented. The results show that the LN correction does not change the range of Ca isotopes with a giant halo. Taking 66Ca as an example, the neutron density distribution with LN correction is found to be slightly more diffused, which can be illustrated by the enlargement of the root mean square radius and the enhancement of the relative contribution in neutron 3s1/2 level. Full article
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9 pages, 983 KiB  
Article
Exploring the Neutron Magic Number in Superheavy Nuclei: Insights into N = 258
by Pengxiang Du and Jian Li
Particles 2024, 7(4), 1086-1094; https://doi.org/10.3390/particles7040066 - 12 Dec 2024
Viewed by 563
Abstract
In the framework of axial symmetric relativistic Hartree–Bogoliubov (RHB) theory and the Skyrme Hartree–Fock–Bogoliubov (HFB) theory, the evolution of shell structure, density distribution, and ground state deformation in superheavy nuclei proximate to N=258 are investigated within the relativistic functionals DD-PC1 and [...] Read more.
In the framework of axial symmetric relativistic Hartree–Bogoliubov (RHB) theory and the Skyrme Hartree–Fock–Bogoliubov (HFB) theory, the evolution of shell structure, density distribution, and ground state deformation in superheavy nuclei proximate to N=258 are investigated within the relativistic functionals DD-PC1 and DD-ME2, as well as the non-relativistic functional UNEDF0. The results from DD-ME2 and UNEDF0 indicate that N=258 is a neutron magic number, whereas DD-PC1 does not anticipate the existence of a bound N=258 magic nucleus. Further discussion suggests that the emergence of the magic number N=258 is related to the depression of the central density. Full article
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8 pages, 527 KiB  
Article
Magic Number N = 350 Predicted by the Deformed Relativistic Hartree-Bogoliubov Theory in Continuum: Z = 136 Isotopes as an Example
by Wei-Jian Liu, Chen-Jun Lv, Peng Guo, Cong Pan, Sibo Wang and Xin-Hui Wu
Particles 2024, 7(4), 1078-1085; https://doi.org/10.3390/particles7040065 - 26 Nov 2024
Cited by 1 | Viewed by 714
Abstract
The investigation of magic numbers for nuclei in the hyperheavy region (Z>120) is an interesting topic. The neutron magic number N=350 is carefully validated by the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc), via analysing even-even nuclei [...] Read more.
The investigation of magic numbers for nuclei in the hyperheavy region (Z>120) is an interesting topic. The neutron magic number N=350 is carefully validated by the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc), via analysing even-even nuclei around N=350 of the Z=136 isotopes in detail. Nuclei with Z=136 and 340N360 are all found to be spherical in their ground states. A big drop of the two-neutron separation energy S2n is observed from N=350 to N=352 in the isotopic chain of Z=136, and a peak of the two-neutron gap δ2n appears at N=350. There exists a big shell gap above N=350 around the spherical regions of single-neutron levels for nucleus with (Z=136,N=350). These evidences from the DRHBc theory support N=350 to be a neutron magic number in the hyperheavy region. Full article
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