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Title: Toroidal high-spin isomers in the nucleus 120 304

Abstract

Strongly deformed oblate superheavy nuclei form an intriguing region where the toroidal nuclear structures may bifurcate from the oblate spheroidal shape. The bifurcation may be facilitated when the nucleus is endowed with a large angular moment about the symmetry axis with $$I=I_{z}$$. The toroidal high-$$K$$ isomeric states at their local energy minima can be theoretically predicted using the cranked self-consistent Skyrme-Hartree-Fock method. We use the cranked Skyrme-Hartree-Fock method to predict the properties of the toroidal high-spin isomers in the superheavy nucleus $$^{304}{120}_{184}$$. This method consists of three steps: first, we use the deformation-constrained Skyrme-Hartree-Fock-Bogoliubov approach to search for the nuclear density distributions with toroidal shapes. Next, using these toroidal distributions as starting configurations we apply an additional cranking constraint of a large angular momentum $$I=I_{z}$$ about the symmetry $$z$$-axis and search for the energy minima of the system as a function of the deformation. In the last step, if a local energy minimum with $$I=I_{z}$$ is found, we perform at this point the cranked symmetry- and deformation-unconstrained Skyrme-Hartree-Fock calculations to locate a stable toroidal high-spin isomeric state in free convergence. Furthemore, we have theoretically located two toroidal high-spin isomeric states of $$^{304}{120}_{184}$$ with an angular momentum $$I$$=$$I_z$$=81$$\hbar$$ (proton 2p-2h, neutronmore » 4p-4h excitation) and $$I$$=$$I_z$$=208$$\hbar$$ (proton 5p-5h, neutron 8p-8h) at the quadrupole moment deformations $$Q_{20}=-297.7$$~b and $$Q_{20}=-300.8$$~b with energies 79.2 MeV and 101.6 MeV above the spherical ground state, respectively. The nuclear density distributions of the toroidal high-spin isomers $$^{304}{120}_{184}(I_z$$=81$$\hbar$$ and 208$$\hbar$$) have the maximum density close to the nuclear matter density, 0.16 fm$$^{-3}$$, and a torus major to minor radius aspect ratio $R/d=3.25$. Here, we demonstrate that aligned angular momenta of $$I_z$$=81$$\hbar$$ and 208$$\hbar$$ arising from multi-particle-multi-hole excitations in the toroidal system of $$^{304}{120}_{184}$$ can lead to high-spin isomeric states, even though the toroidal shape of $$^{304}120_{184}$$ without spin is unstable. Toroidal energy minima without spin may be possible for superheavy nuclei with higher atomic numbers, $$Z\gtrsim$$122, as reported previously [A. Staszczak and C. Y. Wong,Acta Phys. Pol. B 40 , 753 (2008)].« less

Authors:
 [1];  [2];  [1]
  1. Maria Curie-Sklodowska Univ., Lublin (Poland). Inst. of Physics
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1360073
Alternate Identifier(s):
OSTI ID: 1358133
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 95; Journal Issue: 5; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Superheavy nucleus high-spin states

Citation Formats

Staszczak, A., Wong, Cheuk-Yin, and Kosior, A. Toroidal high-spin isomers in the nucleus 120304. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.95.054315.
Staszczak, A., Wong, Cheuk-Yin, & Kosior, A. Toroidal high-spin isomers in the nucleus 120304. United States. https://doi.org/10.1103/PhysRevC.95.054315
Staszczak, A., Wong, Cheuk-Yin, and Kosior, A. Mon . "Toroidal high-spin isomers in the nucleus 120304". United States. https://doi.org/10.1103/PhysRevC.95.054315. https://www.osti.gov/servlets/purl/1360073.
@article{osti_1360073,
title = {Toroidal high-spin isomers in the nucleus 120304},
author = {Staszczak, A. and Wong, Cheuk-Yin and Kosior, A.},
abstractNote = {Strongly deformed oblate superheavy nuclei form an intriguing region where the toroidal nuclear structures may bifurcate from the oblate spheroidal shape. The bifurcation may be facilitated when the nucleus is endowed with a large angular moment about the symmetry axis with $I=I_{z}$. The toroidal high-$K$ isomeric states at their local energy minima can be theoretically predicted using the cranked self-consistent Skyrme-Hartree-Fock method. We use the cranked Skyrme-Hartree-Fock method to predict the properties of the toroidal high-spin isomers in the superheavy nucleus $^{304}{120}_{184}$. This method consists of three steps: first, we use the deformation-constrained Skyrme-Hartree-Fock-Bogoliubov approach to search for the nuclear density distributions with toroidal shapes. Next, using these toroidal distributions as starting configurations we apply an additional cranking constraint of a large angular momentum $I=I_{z}$ about the symmetry $z$-axis and search for the energy minima of the system as a function of the deformation. In the last step, if a local energy minimum with $I=I_{z}$ is found, we perform at this point the cranked symmetry- and deformation-unconstrained Skyrme-Hartree-Fock calculations to locate a stable toroidal high-spin isomeric state in free convergence. Furthemore, we have theoretically located two toroidal high-spin isomeric states of $^{304}{120}_{184}$ with an angular momentum $I$=$I_z$=81$\hbar$ (proton 2p-2h, neutron 4p-4h excitation) and $I$=$I_z$=208$\hbar$ (proton 5p-5h, neutron 8p-8h) at the quadrupole moment deformations $Q_{20}=-297.7$~b and $Q_{20}=-300.8$~b with energies 79.2 MeV and 101.6 MeV above the spherical ground state, respectively. The nuclear density distributions of the toroidal high-spin isomers $^{304}{120}_{184}(I_z$=81$\hbar$ and 208$\hbar$) have the maximum density close to the nuclear matter density, 0.16 fm$^{-3}$, and a torus major to minor radius aspect ratio $R/d=3.25$. Here, we demonstrate that aligned angular momenta of $I_z$=81$\hbar$ and 208$\hbar$ arising from multi-particle-multi-hole excitations in the toroidal system of $^{304}{120}_{184}$ can lead to high-spin isomeric states, even though the toroidal shape of $^{304}120_{184}$ without spin is unstable. Toroidal energy minima without spin may be possible for superheavy nuclei with higher atomic numbers, $Z\gtrsim$122, as reported previously [A. Staszczak and C. Y. Wong,Acta Phys. Pol. B 40 , 753 (2008)].},
doi = {10.1103/PhysRevC.95.054315},
url = {https://www.osti.gov/biblio/1360073}, journal = {Physical Review C},
issn = {2469-9985},
number = 5,
volume = 95,
place = {United States},
year = {2017},
month = {5}
}

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Works referenced in this record:

High-spin phenomena in atomic nuclei
journal, October 1983


Pure collective precession motion of a high-spin torus isomer
journal, January 2014


Nuclear shell structure at very high angular momentum
journal, September 1976


Local density approximation for proton-neutron pairing correlations: Formalism
journal, January 2004


Nuclear ground-state properties from mean-field calculations
journal, September 2002


Search for Ring-Like Nuclei under Extreme Conditions
journal, October 2010


Tensor part of the Skyrme energy density functional: Spherical nuclei
journal, July 2007


The effective nuclear potential
journal, January 1958


Self-consistent symmetries in the proton-neutron Hartree-Fock-Bogoliubov approach
journal, January 2010


The spin-orbit interaction in nuclei
journal, January 1958


Toroidal high-spin isomers in light nuclei with NZ
journal, October 2015


Hartree-Fock-Bogolyubov description of nuclei near the neutron-drip line
journal, June 1984


Nuclear effective forces and isotope shifts
journal, February 1995


Termination of rotational bands: disappearance of quantum many-body collectivity
journal, December 1999


Toroidal and spherical bubble nuclei
journal, May 1973


Rotating toroidal nuclei
journal, January 1978


Hartree-Fock Calculations with Skyrme's Interaction. I. Spherical Nuclei
journal, March 1972


Spatial Symmetries of the Local Densities
journal, April 2010


A region of high-spin toroidal isomers
journal, November 2014


Existence of an Exotic Torus Configuration in High-Spin Excited States of Ca 40
journal, December 2012


Particle-hole Nature of the Light High-spin Toroidal Isomers
journal, January 2015


Time-dependent hartree-fock theory with Skyrme's interaction
journal, September 1975


Solution of the Skyrme–Hartree–Fock–Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis.
journal, November 2009


Toroidal Nuclear Matter Distributions of Superheavy Nuclei from Constrained Skyrme--HFB Calculations
journal, January 2017


Generation and Stability of Toroidal Droplets in a Viscous Liquid
journal, June 2009


CVII. The nuclear surface
journal, November 1956


Self-consistent mean-field models for nuclear structure
journal, January 2003


Time-odd components in the mean field of rotating superdeformed nuclei
journal, October 1995


Fission barriers and probabilities of spontaneous fission for elements with Z≥ 100
journal, December 2015


Theoretical studies of possible toroidal high-spin isomers in the light-mass region
journal, January 2016


The structure of angular momentum in rapidly rotating nuclei
journal, February 1981


Towards a better parametrisation of Skyrme-like effective forces: A critical study of the SkM force
journal, September 1982


Funny Hills: The Shell-Correction Approach to Nuclear Shell Effects and Its Applications to the Fission Process
journal, April 1972


Some distortion effects in the nuclear p-shell
journal, January 1958


Augmented Lagrangian method for constrained nuclear density functional theory
journal, August 2010


Tensor part of the Skyrme energy density functional. III. Time-odd terms at high spin
journal, January 2012


Nonlinear dynamics and breakup of free-surface flows
journal, July 1997


High-spin torus isomers and their precession motions
journal, September 2014


Microscopic description of complex nuclear decay: Multimodal fission
journal, July 2009


Solution of the Skyrme–Hartree–Fock–Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis.
journal, January 2012


Spontaneous fission modes and lifetimes of superheavy elements in the nuclear density functional theory
journal, February 2013


Fission modes of mercury isotopes
journal, August 2012


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    Colloquium : Superheavy elements: Oganesson and beyond
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