Toroidal highspin isomers in the nucleus ${}^{304}120$
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 selfconsistent SkyrmeHartreeFock method. We use the cranked SkyrmeHartreeFock method to predict the properties of the toroidal highspin isomers in the superheavy nucleus $$^{304}{120}_{184}$$. This method consists of three steps: first, we use the deformationconstrained SkyrmeHartreeFockBogoliubov 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 deformationunconstrained SkyrmeHartreeFock calculations to locate a stable toroidal highspin isomeric state in free convergence. Furthemore, we have theoretically located two toroidal highspin isomeric states of $$^{304}{120}_{184}$$ with an angular momentum $I$=$$I_z$$=81$$\hbar$$ (proton 2p2h, neutron 4p4h excitation) and $I$=$$I_z$$=208$$\hbar$$ (proton 5p5h, neutron 8p8h) 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 highspin 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 multiparticlemultihole excitations in the toroidal system of $$^{304}{120}_{184}$$ can lead to highspin 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]}
 Maria CurieSklodowska Univ., Lublin (Poland). Inst. of Physics
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division
 Publication Date:
 Grant/Contract Number:
 AC0500OR22725
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review C
 Additional Journal Information:
 Journal Volume: 95; Journal Issue: 5; Journal ID: ISSN 24699985
 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) (SC26)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Superheavy nucleus highspin states
 OSTI Identifier:
 1360073
 Alternate Identifier(s):
 OSTI ID: 1358133
Staszczak, A., Wong, CheukYin, and Kosior, A.. Toroidal highspin isomers in the nucleus 120304. United States: N. p.,
Web. doi:10.1103/PhysRevC.95.054315.
Staszczak, A., Wong, CheukYin, & Kosior, A.. Toroidal highspin isomers in the nucleus 120304. United States. doi:10.1103/PhysRevC.95.054315.
Staszczak, A., Wong, CheukYin, and Kosior, A.. 2017.
"Toroidal highspin 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 highspin isomers in the nucleus 120304},
author = {Staszczak, A. and Wong, CheukYin 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 selfconsistent SkyrmeHartreeFock method. We use the cranked SkyrmeHartreeFock method to predict the properties of the toroidal highspin isomers in the superheavy nucleus $^{304}{120}_{184}$. This method consists of three steps: first, we use the deformationconstrained SkyrmeHartreeFockBogoliubov 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 deformationunconstrained SkyrmeHartreeFock calculations to locate a stable toroidal highspin isomeric state in free convergence. Furthemore, we have theoretically located two toroidal highspin isomeric states of $^{304}{120}_{184}$ with an angular momentum $I$=$I_z$=81$\hbar$ (proton 2p2h, neutron 4p4h excitation) and $I$=$I_z$=208$\hbar$ (proton 5p5h, neutron 8p8h) 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 highspin 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 multiparticlemultihole excitations in the toroidal system of $^{304}{120}_{184}$ can lead to highspin 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}
}