2017/05/03 by A. Staszczak, Cheuk-Yin Wong, Arkadiusz Kosior +1 · 35 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #Atomic physics #Bifurcation #Biology #Geometry #Hartree–Fock method #Maxima and minima #Nonlinear system #Nuclear physics #Nuclear physics research studies #Nucleus #Oblate spheroid #Physics #Plasma #Quantum mechanics #Spin (aerodynamics) #Symmetry (geometry) #Toroid #nucl-th
paper · pdf · doi:10.1103/physrevc.95.054315
published in Physical Review C 95(5) (American Institute of Physics) · 12 pages, 11 figures, 1 table, accepted to Phys. Rev. C
arxiv created 2017/05/03 · openalex publication_date 2017/05/22 · arxiv updated 2017/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Background: 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=Iz. The toroidal high-K isomeric states at their local energy minima can be theoretically predicted using the cranked self-consistent Skyrme-Hartree-Fock method.Purpose: We use the cranked Skyrme-Hartree-Fock method to predict the properties of the toroidal high-spin isomers in the superheavy nucleus 304120184.Method: Our 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=Iz 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=Iz 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.Results: We have theoretically located two toroidal high-spin isomeric states of 304120184 with an angular momentum I=Iz=81\ensuremathℏ (proton 2p-2h, neutron 4p-4h excitation) and I=Iz=208\ensuremathℏ (proton 5p-5h, neutron 8p-8h) at the quadrupole moment deformations Q20=\ensuremath-297.7 b and Q20=\ensuremath-300.8 b with energies 79.2 and 101.6 MeV above the spherical ground state, respectively. The nuclear density distributions of the toroidal high-spin isomers 304120184\phantom\rule0.28em0ex(Iz=81\ensuremathℏ and 208\ensuremathℏ) have the maximum density close to the nuclear matter density, 0.16fm^\ensuremath-3, and a torus major to minor radius aspect ratio R/d=3.25.Conclusions: We demonstrate that aligned angular momenta of Iz=81\ensuremathℏ and 208\ensuremathℏ arising from multiparticle-multihole excitations in the toroidal system of 304120184 can lead to high-spin isomeric states, even though the toroidal shape of 304120184 without spin is unstable. Toroidal energy minima without spin may be possible for superheavy nuclei with higher atomic numbers, Z\ensuremath\gtrsim122, as reported previously [A. Staszczak and C. Y. Wong, Acta Phys. Pol. B 40, 753 (2008)].