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

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)].
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:
Grant/Contract Number:
AC05-00OR22725
Type:
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)
Research Org:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Superheavy nucleus high-spin states
OSTI Identifier:
1360073
Alternate Identifier(s):
OSTI ID: 1358133

Staszczak, A., Wong, Cheuk-Yin, and Kosior, A.. Toroidal high-spin isomers in the nucleus 120304. United States: N. p., Web. doi:10.1103/PhysRevC.95.054315.
Staszczak, A., Wong, Cheuk-Yin, & Kosior, A.. Toroidal high-spin isomers in the nucleus 120304. United States. doi:10.1103/PhysRevC.95.054315.
Staszczak, A., Wong, Cheuk-Yin, and Kosior, A.. 2017. "Toroidal high-spin isomers in the nucleus 120304". United States. doi: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},
journal = {Physical Review C},
number = 5,
volume = 95,
place = {United States},
year = {2017},
month = {5}
}