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Title: Shells in a toroidal nucleus in the intermediate-mass region

Abstract

Attention is fixed on shells in toroidal nuclei in the intermediate-mass region using a toroidal single-particle potential. Here we find toroidal shells in the intermediate-mass region with large single-particle energy gaps at various nucleon numbers. These toroidal shells are located at different toroidal deformations characterized by the aspect ratios of the toroidal major radius to the toroidal minor radius, and they provide extra stability at various toroidal deformations. Relative to a toroidal core, the Bohr–Mottelson spin-aligning particle-hole excitations may be constructed to occupy the lowest single-particle Routhian energies to lead to toroidal high-spin isomers with different spins. Furthermore, because a nucleon in a toroidal nucleus possesses a vorticity quantum number, toroidal vortex nuclei may be constructed by making particle-hole excitations in which nucleons of one type of vorticity are promoted to populate unoccupied single-particle orbitals of the opposite vorticity. Methods for producing toroidal high-spin isomers and toroidal vortex nuclei are discussed.

Authors:
ORCiD logo [1];  [2]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  2. Maria Curie-Sklodowska Univ., Lublin (Poland)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1471905
Alternate Identifier(s):
OSTI ID: 1471444
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 98; Journal Issue: 3; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Wong, Cheuk-Yin, and Staszczak, Andrzej. Shells in a toroidal nucleus in the intermediate-mass region. United States: N. p., 2018. Web. doi:10.1103/PhysRevC.98.034316.
Wong, Cheuk-Yin, & Staszczak, Andrzej. Shells in a toroidal nucleus in the intermediate-mass region. United States. doi:10.1103/PhysRevC.98.034316.
Wong, Cheuk-Yin, and Staszczak, Andrzej. Wed . "Shells in a toroidal nucleus in the intermediate-mass region". United States. doi:10.1103/PhysRevC.98.034316. https://www.osti.gov/servlets/purl/1471905.
@article{osti_1471905,
title = {Shells in a toroidal nucleus in the intermediate-mass region},
author = {Wong, Cheuk-Yin and Staszczak, Andrzej},
abstractNote = {Attention is fixed on shells in toroidal nuclei in the intermediate-mass region using a toroidal single-particle potential. Here we find toroidal shells in the intermediate-mass region with large single-particle energy gaps at various nucleon numbers. These toroidal shells are located at different toroidal deformations characterized by the aspect ratios of the toroidal major radius to the toroidal minor radius, and they provide extra stability at various toroidal deformations. Relative to a toroidal core, the Bohr–Mottelson spin-aligning particle-hole excitations may be constructed to occupy the lowest single-particle Routhian energies to lead to toroidal high-spin isomers with different spins. Furthermore, because a nucleon in a toroidal nucleus possesses a vorticity quantum number, toroidal vortex nuclei may be constructed by making particle-hole excitations in which nucleons of one type of vorticity are promoted to populate unoccupied single-particle orbitals of the opposite vorticity. Methods for producing toroidal high-spin isomers and toroidal vortex nuclei are discussed.},
doi = {10.1103/PhysRevC.98.034316},
journal = {Physical Review C},
number = 3,
volume = 98,
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Figures / Tables:

FIG. 1 FIG. 1: The cylindrical coordinates ($ρ, z$,$\phi$) and toroidal coordinates ($r$, $θ$, $\phi$) used for the description of a toroidal nucleus with a major radius $R$, a minor radius $d$, and a vorticity $\Lambda$. Here $\phi$ is the toroidal angle, $θ$ is the poloidal angle, and $r$ =$\sqrt{(p-R)^{2}+z^{2}}$. Some ofmore » the poloidal vortex flow lines are schematically exhibited.« less

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