Shells in a toroidal nucleus in the intermediate-mass region

Wong, Cheuk-Yin; Staszczak, Andrzej

doi:10.1103/PhysRevC.98.034316

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

Journal Article · 19 September 2018 · Physical Review C

DOI: https://doi.org/10.1103/PhysRevC.98.034316 · OSTI ID:1471905

^[1]; Staszczak, Andrzej ^[2]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Maria Curie-Sklodowska Univ., Lublin (Poland)

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.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1471905

Alternate ID(s):: OSTI ID: 1471444

Journal Information:: Physical Review C, Vol. 98, Issue 3; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 2 works

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References (53)

The Active Target Time Projection Chamber at NSCL Bazin, D.; Bradt, J.; Ayyad, Y. EPJ Web of Conferences, Vol. 163 https://doi.org/10.1051/epjconf/201716300004	journal	January 2017
Vortical Fluid and Λ Spin Correlations in High-Energy Heavy-Ion Collisions Pang, Long-gang; Petersen, Hannah; Wang, Qun Physical Review Letters, Vol. 117, Issue 19 https://doi.org/10.1103/PhysRevLett.117.192301	journal	November 2016
Experimental reconstruction of primary hot isotopes and characteristic properties of the fragmenting source in heavy-ion reactions near the Fermi energy Lin, W.; Liu, X.; Rodrigues, M. R. D. Physical Review C, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevC.90.044603	journal	October 2014
New relativistic mean-field interaction with density-dependent meson-nucleon couplings Lalazissis, G. A.; Nikšić, T.; Vretenar, D. Physical Review C, Vol. 71, Issue 2 https://doi.org/10.1103/PhysRevC.71.024312	journal	February 2005
Search for Ring-Like Nuclei under Extreme Conditions Wei, Zhang; Hao-Zhao, Liang; Shuang-Quan, Zhang Chinese Physics Letters, Vol. 27, Issue 10 https://doi.org/10.1088/0256-307X/27/10/102103	journal	October 2010
Properties of Superheavy Isotopes $Z=120$ and Isotones $N=184$ Within the Skyrme--HFB Model Kosior, A.; Staszczak, A.; Wong, C. -Y. Acta Physica Polonica B Proceedings Supplement, Vol. 11, Issue 1 https://doi.org/10.5506/APhysPolBSupp.11.167	journal	January 2018
Systematic description of evaporation spectra for light and heavy compound nuclei Charity, R. J. Physical Review C, Vol. 82, Issue 1 https://doi.org/10.1103/PhysRevC.82.014610	journal	July 2010
Violent collisions and multifragment final states in the Ca 40 + 40 Ca reaction at 35 MeV/nucleon Hagel, K.; Gonin, M.; Wada, R. Physical Review C, Vol. 50, Issue 4 https://doi.org/10.1103/PhysRevC.50.2017	journal	October 1994
Solving Dirac equations on a 3D lattice with inverse Hamiltonian and spectral methods Ren, Z. X.; Zhang, S. Q.; Meng, J. Physical Review C, Vol. 95, Issue 2 https://doi.org/10.1103/PhysRevC.95.024313	journal	February 2017
Hot rotating toroidal nuclei Zhang, Jing-Ye; Wong, Cheuk-Yin Physical Review C, Vol. 34, Issue 3 https://doi.org/10.1103/PhysRevC.34.1094	journal	September 1986
Existence of an Exotic Torus Configuration in High-Spin Excited States of Ca 40 Ichikawa, T.; Maruhn, J. A.; Itagaki, N. Physical Review Letters, Vol. 109, Issue 23 https://doi.org/10.1103/PhysRevLett.109.232503	journal	December 2012
Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation Meng, Jie; Peng, Jing; Zhang, Shuang-Quan Frontiers of Physics, Vol. 8, Issue 1 https://doi.org/10.1007/s11467-013-0287-y	journal	February 2013
Toroidal Nuclear Matter Distributions of Superheavy Nuclei from Constrained Skyrme--HFB Calculations Kosior, A.; Staszczak, A.; Wong, C. -Y. Acta Physica Polonica B Proceedings Supplement, Vol. 10, Issue 1 https://doi.org/10.5506/APhysPolBSupp.10.249	journal	January 2017
NIMROD–ISiS, a versatile tool for studying the isotopic degree of freedom in heavy ion collisions Wuenschel, S.; Hagel, K.; Wada, R. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 604, Issue 3 https://doi.org/10.1016/j.nima.2009.03.187	journal	June 2009
The structure of angular momentum in rapidly rotating nuclei Bohr, A.; Mottelson, B. R. Nuclear Physics A, Vol. 354, Issue 1-2 https://doi.org/10.1016/0375-9474(81)90604-7	journal	February 1981
Reaction dynamics and multifragmentation in Fermi energy heavy ion reactions Wada, R.; Keutgen, T.; Hagel, K. Physical Review C, Vol. 69, Issue 4 https://doi.org/10.1103/PhysRevC.69.044610	journal	April 2004
Funny Hills: The Shell-Correction Approach to Nuclear Shell Effects and Its Applications to the Fission Process Brack, M.; Damgaard, Jens; Jensen, A. S. Reviews of Modern Physics, Vol. 44, Issue 2 https://doi.org/10.1103/RevModPhys.44.320	journal	April 1972
Vortex rings in fragmentation regions in heavy-ion collisions at s N N = 39 GeV Ivanov, Yu. B.; Soldatov, A. A. Physical Review C, Vol. 97, Issue 4 https://doi.org/10.1103/PhysRevC.97.044915	journal	April 2018
Ring galaxies. I Theys, J. C.; Spiegel, E. A. The Astrophysical Journal, Vol. 208 https://doi.org/10.1086/154646	journal	September 1976
Hot Toroidal and Bubble Nuclei Wong, Cheuk-Yin Physical Review Letters, Vol. 55, Issue 19 https://doi.org/10.1103/PhysRevLett.55.1973	journal	November 1985
Toroidal nuclei Wong, C. Y. Physics Letters B, Vol. 41, Issue 4 https://doi.org/10.1016/0370-2693(72)90671-5	journal	October 1972
New parametrization for the nuclear covariant energy density functional with a point-coupling interaction Zhao, P. W.; Li, Z. P.; Yao, J. M. Physical Review C, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevC.82.054319	journal	November 2010
Dynamical aspects of intermediate-energy nucleus-nucleus collisions: I. Quantal single-particle motion in phase space Cassing, W. Zeitschrift f�r Physik A Atomic Nuclei, Vol. 327, Issue 1 https://doi.org/10.1007/BF01295254	journal	March 1987
Vorticity in heavy-ion collisions Deng, Wei-Tian; Huang, Xu-Guang Physical Review C, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevC.93.064907	journal	June 2016
Formation and decay of toroidal and bubble nuclei and the nuclear equation of state Xu, H. M.; Natowitz, J. B.; Gagliardi, C. A. Physical Review C, Vol. 48, Issue 2 https://doi.org/10.1103/PhysRevC.48.933	journal	August 1993
Tracking algorithms for the active target MAYA Roger, T.; Caamaño, M.; Demonchy, C. E. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 638, Issue 1 https://doi.org/10.1016/j.nima.2011.02.061	journal	May 2011
Alpha-neutron rings and chains Wilkinson, D. H. Nuclear Physics A, Vol. 452, Issue 2 https://doi.org/10.1016/0375-9474(86)90311-8	journal	April 1986
Toroidal high-spin isomers in light nuclei with N ≠ Z Staszczak, A.; Wong, Cheuk-Yin Physica Scripta, Vol. 90, Issue 11 https://doi.org/10.1088/0031-8949/90/11/114006	journal	October 2015
Hyperheavy nuclei: Existence and stability Afanasjev, A. V.; Agbemava, S. E.; Gyawali, A. Physics Letters B, Vol. 782 https://doi.org/10.1016/j.physletb.2018.05.070	journal	July 2018
Toroidal high-spin isomers in the nucleus 120 304 Staszczak, A.; Wong, Cheuk-Yin; Kosior, A. Physical Review C, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevC.95.054315	journal	May 2017
Vorticity in heavy-ion collisions at the JINR Nuclotron-based Ion Collider fAcility Ivanov, Yu. B.; Soldatov, A. A. Physical Review C, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevC.95.054915	journal	May 2017
Dependence of intermediate mass fragment production on the reaction mechanism in light heavy-ion collisions at intermediate energy Larochelle, Y.; Beaulieu, L.; Anctil, G. Physical Review C, Vol. 53, Issue 2 https://doi.org/10.1103/PhysRevC.53.823	journal	February 1996
Event generator for nuclear collisions at intermediate energies Lacroix, Denis; Van Lauwe, Aymeric; Durand, Dominique Physical Review C, Vol. 69, Issue 5 https://doi.org/10.1103/PhysRevC.69.054604	journal	May 2004
Toroidal and spherical bubble nuclei Wong, C. Y. Annals of Physics, Vol. 77, Issue 1-2 https://doi.org/10.1016/0003-4916(73)90420-X	journal	May 1973
Rotating toroidal nuclei Wong, Cheuk-Yin Physical Review C, Vol. 17, Issue 1 https://doi.org/10.1103/PhysRevC.17.331	journal	January 1978
XXII. The equilibrium of revolving liquid under capillary force Rayleigh, Lord The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 28, Issue 164 https://doi.org/10.1080/14786440808635198	journal	August 1914
Atlas and Catalog of Collisional ring Galaxies Madore, Barry F.; Nelson, Erica; Petrillo, Kristen The Astrophysical Journal Supplement Series, Vol. 181, Issue 2 https://doi.org/10.1088/0067-0049/181/2/572	journal	March 2009
A region of high-spin toroidal isomers Staszczak, Andrzej; Wong, Cheuk-Yin Physics Letters B, Vol. 738 https://doi.org/10.1016/j.physletb.2014.10.013	journal	November 2014
Particle-hole Nature of the Light High-spin Toroidal Isomers Staszczak, A.; Wong, C. -Y. Acta Physica Polonica B, Vol. 46, Issue 3 https://doi.org/10.5506/APhysPolB.46.675	journal	January 2015
Antisymmetrized molecular dynamics with quantum branching processes for collisions of heavy nuclei Ono, Akira Physical Review C, Vol. 59, Issue 2 https://doi.org/10.1103/PhysRevC.59.853	journal	February 1999
Unified description of fission in fusion and spallation reactions Mancusi, Davide; Charity, Robert J.; Cugnon, Joseph Physical Review C, Vol. 82, Issue 4 https://doi.org/10.1103/PhysRevC.82.044610	journal	October 2010
Toroidal Structure of Super-Heavy Nuclei in the hfb Theory Warda, M. International Journal of Modern Physics E, Vol. 16, Issue 02 https://doi.org/10.1142/S0218301307005880	journal	February 2007
Theoretical studies of possible toroidal high-spin isomers in the light-mass region Staszczak, Andrzej; Wong, Cheuk-Yin EPJ Web of Conferences, Vol. 117 https://doi.org/10.1051/epjconf/201611704008	journal	January 2016
Prototype AT-TPC: Toward a new generation active target time projection chamber for radioactive beam experiments Suzuki, D.; Ford, M.; Bazin, D. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 691 https://doi.org/10.1016/j.nima.2012.06.050	journal	November 2012
Overview of the data analysis and new micro-pattern gas detector development for the Active Target Time Projection Chamber (AT-TPC) project. Ayyad, Yassid; Mittig, Wolfgang; Bazin, Daniel Journal of Physics: Conference Series, Vol. 876 https://doi.org/10.1088/1742-6596/876/1/012003	journal	July 2017
Semiclassical Description of Exotic Nuclear Shapes ViÑAs, X.; Centelles, M.; Warda, M. International Journal of Modern Physics E, Vol. 17, Issue 01 https://doi.org/10.1142/S0218301308009677	journal	January 2008
Resonant α scattering of 6 He: Limits of clustering in 10 Be Suzuki, D.; Shore, A.; Mittig, W. Physical Review C, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevC.87.054301	journal	May 2013
Ultraluminous X-Ray Sources in arp 147 Rappaport, S.; Levine, A.; Pooley, D. The Astrophysical Journal, Vol. 721, Issue 2 https://doi.org/10.1088/0004-637X/721/2/1348	journal	September 2010
Fragmentation barriers of toroidal and bubble nuclei Xu, H. M.; Gagliardi, C. A.; Tribble, R. E. Physical Review C, Vol. 49, Issue 4 https://doi.org/10.1103/PhysRevC.49.R1778	journal	April 1994
Nonlinear dynamics and breakup of free-surface flows Eggers, Jens Reviews of Modern Physics, Vol. 69, Issue 3 https://doi.org/10.1103/RevModPhys.69.865	journal	July 1997
A time projection chamber for high-rate experiments: Towards an upgrade of the ALICE TPC Ketzer, Bernhard Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 732 https://doi.org/10.1016/j.nima.2013.08.027	journal	December 2013
High-spin torus isomers and their precession motions Ichikawa, T.; Matsuyanagi, K.; Maruhn, J. A. Physical Review C, Vol. 90, Issue 3 https://doi.org/10.1103/PhysRevC.90.034314	journal	September 2014
On the nuclear structure and stability of heavy and superheavy elements Nilsson, Sven Gösta; Tsang, Chin Fu; Sobiczewski, Adam Nuclear Physics A, Vol. 131, Issue 1 https://doi.org/10.1016/0375-9474(69)90809-4	journal	June 1969