Microscopic study of the shell structure evolution in isotopes of light to middle mass range nuclides

Thakur, Virender; Kumar, Pankaj; Thakur, Sunil; Thakur, Smriti; Kumar, Vikesh; Dhiman, Shashi K.

doi:10.1016/j.nuclphysa.2020.121981

Cited by 14 publications

(7 citation statements)

References 63 publications

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“…Significantly, as 126 neutrons and 82 protons reaching a filled arrangement, each neutron is adjacent to at least one proton, while resulting in the structure maintaining impeccable sixfold symmetry. Neutron Magic Number 28 corresponds to instances where even-numbered shells S6, S4, and S2 are filled with neutrons, as shown in Figure 3(g); and Magic Number 14 4 corresponds to instances where even-numbered shells S4 and S2 are filled with neutrons, as depicted in Figure 3(f). In all instances in Figure 3, the arrangement of neutrons distinctly showcases the importance of maximizing closed neutron shells.…”

Section: Patterns Of Nucleon Distribution Corresponding To Magic Numb...mentioning

confidence: 99%

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Patterns in Isotopic Compositions, Nucleon Numbers, and Magic Numbers

Lin

2024

Preprint

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This paper identifies a distinct pattern in the nuclear stability of isotopes with a nucleon number A = S(S+1)-2. It posits that S represents an ordinal number corresponding to a shell, with the maximum observed value of S being 16. The relation A=S(S+1) lies in a close packed hexagonal arrangement pattern. In this configuration, as neutrons fill certain shells to form closed loops, and each neutron couples with one or more protons in adjacent shells, the total number of neutrons or protons corresponds to magic numbers. This deduction leads to the elucidation of the nucleon arrangement patterns for each nuclide. The paper presents the nucleon arrangement schemes for 20 key nuclides and traces the evolution of shell structures. Regularities in the nucleon numbers of isotopes with the highest relative abundance, magic number phenomena, and the inversion of elemental atomic masses serve as evidence supporting these nucleon arrangement patterns. The proposed regularities and patterns unexpectedly emerge through an intriguing toroidal helix model. This study requires reference to the concept of an “electron cloud,” assuming nucleons as a toroidal helical “nucleon cloud” to explore the interaction mechanisms among nucleons. The structural model is novel, and further research must comprehensively cover a wide range of nuclear characteristics.

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Section: Patterns Of Nucleon Distribution Corresponding To Magic Numb...mentioning

confidence: 99%

“…This structure corresponds entirely to the two-dimensional model detailed in the preceding section, offering the complete three-dimensional shape of the two-dimensional model. Figure 5(c) presents a perspective view of the four nucleon clouds within 4 He.…”

Section: A Fundamental Three-dimensional Structural Modelmentioning

confidence: 99%

Patterns in Isotopic Compositions, Nucleon Numbers, and Magic Numbers

Lin

2024

Preprint

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“…Nuclear density functional theories (DFT) have been used to understand nuclear many-body dynamics for an appreciable description of nuclei near the drip line. Covariant density functional theory (CDFT) is one of the most attractive nuclear density functional theories and has achieved great success in the description of ground-and excited-state properties of both spherical and deformed nuclei throughout the nuclear chart [6][7][8][9]. In this work, a systematic study of shape transition and ground state properties of neon isotopes has been done using CDFT with DD-ME2 [10] and DD-PC1 [11] parameter sets with a separable pairing interaction [12,13].…”

Section: Introductionmentioning

confidence: 99%

A study of shape transition and bubbleness in Ne isotopes

Kumar

Thakur

Dhiman

2022

hnps

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We have studied shape transition and development of quadrupole deformation in even-even 18-36Ne isotopes by employing covariant density functional theory (CDFT) with density-dependent meson exchange (DD-ME2) and density-dependent point coupling (DD-PC1) parameter sets. A sudden shape transition is observed in the Ne isotopic chain and can be related to the evolution of shell structure of single-particle orbitals. The correlations between shape transition and discontinuity in the other physical observables are also examined. Our results for ground-state properties are in good agreement with the available experimental data and the result of various theoretical models. The present calculations infer the neutron drip line at 34Ne. In addition to shape transition, the bubble structure is also studied for magic nuclei in this chain.

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“…Nuclear density functional theories have been using to understand nuclear many-body dynamics for appriciable description of nuclei near the drip lines [30,31,32,33,34]. Covariant density functional theory (CDFT) is one of the most attractive nuclear density functional theories based on energy density functionals.…”

Section: Introductionmentioning

confidence: 99%

Nuclear shape evolution and shape coexistence in Zr and Mo isotopes

Kumar,

Thakur,

Thakur

et al. 2020

Preprint

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The phenomena of shape evolution and shape coexistence in even-even 88−126 Zr and 88−126 Mo isotopes is studied by employing covariant density functional theory (CDFT) with density-dependent point coupling parameter sets DD-PCX and DD-PC1, and with separable pairing interaction. The results for rms deviation in binding energies, two-neutron separation energy, differential variation of two-neutron separation energy, and rms charge radii, as a function of neutron number, are presented and compared with available experimental data. In addition to the oblate-prolate shape coexistence in 96−110 Zr isotopes, the correlation between shape transition and discontinuity in the observables are also examined. A smooth trend of charge radii in Mo isotopes is found to be due to the manifestation of triaxiality softness. The observed oblate and prolate minima are related to the low single-particle energy level density around the Fermi level of neutron and proton respectively. The present calculations also predict a deformed bubble structure in 100 Zr isotope.

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Microscopic study of the shell structure evolution in isotopes of light to middle mass range nuclides

Cited by 14 publications

References 63 publications

Patterns in Isotopic Compositions, Nucleon Numbers, and Magic Numbers

Patterns in Isotopic Compositions, Nucleon Numbers, and Magic Numbers

A study of shape transition and bubbleness in Ne isotopes

Nuclear shape evolution and shape coexistence in Zr and Mo isotopes

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