Extension of the nuclear landscape to hyperheavy nuclei
Abstract
The properties of hyperheavy nuclei and the extension of nuclear landscape to hyperheavy nuclei are extensively studied within covariant density functional theory. Axial reflection symmetric and reflection asymmetric relativistic Hartree-Bogoliubov (RHB) calculations are carried out. The role of triaxiality is studied within triaxial RHB and triaxial relativistic mean field + BCS frameworks. With increasing proton number beyond the transition from ellipsoidal-like nuclear shapes to toroidal ones takes place. The description of latter shapes requires the basis which is typically significantly larger than the one employed for the description of ellipsoidal-like shapes. Many hyperheavy nuclei with toroidal shapes are expected to be unstable toward multifragmentation. Yet, three islands of stability of spherical hyperheavy nuclei have been predicted for the first time in Afanasjev et al. [Phys. Lett. B 782, 533 (2018)]. Proton and neutron densities, charge radii, neutron skins, and underlying shell structure of the nuclei located in the centers of these islands have been investigated in detail. Large neutron shell gaps at and 406 define approximate centers of these islands in neutron number. On the contrary, large proton gap appear only at in the island. As a result, this is the largest island of stability of spherical hyperheavy nuclei found in the calculations. The calculations indicate the stability of the nuclei in these islands with respect to octupole and triaxial distortions. The shape evolution of toroidal shapes along the fission path and the stability of such shapes with respect to fission have been reported on. Fission barriers in neutron-rich superheavy nuclei are studied in triaxial RHB framework; the impact of triaxiality on the heights of fission barriers is substantial in some parts of this region. Based on the results obtained in the present work, the extension of nuclear landscape to hyperheavy nuclei is provided.
- Authors:
-
- Mississippi State Univ., Mississippi State, MS (United States)
- Mississippi State Univ., Mississippi State, MS (United States); Kyoto Univ. (Japan)
- Publication Date:
- Research Org.:
- Mississippi State Univ., Mississippi State, MS (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1597108
- Alternate Identifier(s):
- OSTI ID: 1500135
- Grant/Contract Number:
- SC0013037; NA0002925
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 3; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Agbemava, S. E., Afanasjev, Anatoli V., Taninah, A., and Gyawali, A. Extension of the nuclear landscape to hyperheavy nuclei. United States: N. p., 2019.
Web. doi:10.1103/PhysRevC.99.034316.
Agbemava, S. E., Afanasjev, Anatoli V., Taninah, A., & Gyawali, A. Extension of the nuclear landscape to hyperheavy nuclei. United States. https://doi.org/10.1103/PhysRevC.99.034316
Agbemava, S. E., Afanasjev, Anatoli V., Taninah, A., and Gyawali, A. Fri .
"Extension of the nuclear landscape to hyperheavy nuclei". United States. https://doi.org/10.1103/PhysRevC.99.034316. https://www.osti.gov/servlets/purl/1597108.
@article{osti_1597108,
title = {Extension of the nuclear landscape to hyperheavy nuclei},
author = {Agbemava, S. E. and Afanasjev, Anatoli V. and Taninah, A. and Gyawali, A.},
abstractNote = {The properties of hyperheavy nuclei and the extension of nuclear landscape to hyperheavy nuclei are extensively studied within covariant density functional theory. Axial reflection symmetric and reflection asymmetric relativistic Hartree-Bogoliubov (RHB) calculations are carried out. The role of triaxiality is studied within triaxial RHB and triaxial relativistic mean field + BCS frameworks. With increasing proton number beyond Z≈130 the transition from ellipsoidal-like nuclear shapes to toroidal ones takes place. The description of latter shapes requires the basis which is typically significantly larger than the one employed for the description of ellipsoidal-like shapes. Many hyperheavy nuclei with toroidal shapes are expected to be unstable toward multifragmentation. Yet, three islands of stability of spherical hyperheavy nuclei have been predicted for the first time in Afanasjev et al. [Phys. Lett. B 782, 533 (2018)]. Proton and neutron densities, charge radii, neutron skins, and underlying shell structure of the nuclei located in the centers of these islands have been investigated in detail. Large neutron shell gaps at N=228,308, and 406 define approximate centers of these islands in neutron number. On the contrary, large proton gap appear only at Z=154 in the (Z≈156,N≈310) island. As a result, this is the largest island of stability of spherical hyperheavy nuclei found in the calculations. The calculations indicate the stability of the nuclei in these islands with respect to octupole and triaxial distortions. The shape evolution of toroidal shapes along the fission path and the stability of such shapes with respect to fission have been reported on. Fission barriers in neutron-rich superheavy nuclei are studied in triaxial RHB framework; the impact of triaxiality on the heights of fission barriers is substantial in some parts of this region. Based on the results obtained in the present work, the extension of nuclear landscape to hyperheavy nuclei is provided.},
doi = {10.1103/PhysRevC.99.034316},
journal = {Physical Review C},
number = 3,
volume = 99,
place = {United States},
year = {Fri Mar 15 00:00:00 EDT 2019},
month = {Fri Mar 15 00:00:00 EDT 2019}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 17 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Theoretical description of superheavy nuclei
journal, April 2002
- Nazarewicz, W.; Bender, M.; Ćwiok, S.
- Nuclear Physics A, Vol. 701, Issue 1-4
Shell effects in nuclear masses and deformation energies
journal, April 1967
- Strutinsky, V. M.
- Nuclear Physics A, Vol. 95, Issue 2
Superheavy and hyperheavy nuclei in the form of bubbles or semi-bubbles
journal, April 1999
- Dechargé, J.; Berger, J. -F.; Dietrich, K.
- Physics Letters B, Vol. 451, Issue 3-4
Fission barriers in actinides in covariant density functional theory: The role of triaxiality
journal, October 2010
- Abusara, H.; Afanasjev, A. V.; Ring, P.
- Physical Review C, Vol. 82, Issue 4
The fission barriers in Actinides and superheavy nuclei in covariant density functional theory
journal, May 2010
- Karatzikos, S.; Afanasjev, A. V.; Lalazissis, G. A.
- Physics Letters B, Vol. 689, Issue 2-3
New relativistic mean-field interaction with density-dependent meson-nucleon couplings
journal, February 2005
- Lalazissis, G. A.; Nikšić, T.; Vretenar, D.
- Physical Review C, Vol. 71, Issue 2
The limits of the nuclear landscape
journal, June 2012
- Erler, Jochen; Birge, Noah; Kortelainen, Markus
- Nature, Vol. 486, Issue 7404
Potential energy surfaces of actinide nuclei from a multidimensional constrained covariant density functional theory: Barrier heights and saddle point shapes
journal, January 2012
- Lu, Bing-Nan; Zhao, En-Guang; Zhou, Shan-Gui
- Physical Review C, Vol. 85, Issue 1
The highest limiting Z in the extended periodic table
journal, November 2015
- Gambhir, Y. K.; Bhagwat, A.; Gupta, M.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 12
Fission properties of superheavy nuclei for -process calculations
journal, March 2018
- Giuliani, Samuel A.; Martínez-Pinedo, Gabriel; Robledo, Luis M.
- Physical Review C, Vol. 97, Issue 3
Stability of Bubble Nuclei through Shell Effects
journal, January 1998
- Dietrich, Klaus; Pomorski, Krzysztof
- Physical Review Letters, Vol. 80, Issue 1
A finite range pairing force for density functional theory in superfluid nuclei
journal, June 2009
- Tian, Y.; Ma, Z. Y.; Ring, P.
- Physics Letters B, Vol. 676, Issue 1-3
Topological analysis of nuclear pasta phases
journal, August 2017
- Kycia, Radosław A.; Kubis, Sebastian; Wójcik, Włodzimierz
- Physical Review C, Vol. 96, Issue 2
Predictions for superheavy elements beyond
journal, October 2013
- Brodziński, W.; Skalski, J.
- Physical Review C, Vol. 88, Issue 4
Propagation of statistical uncertainties in covariant density functional theory: Ground state observables and single-particle properties
journal, January 2019
- Agbemava, S. E.; Afanasjev, A. V.; Taninah, A.
- Physical Review C, Vol. 99, Issue 1
Toroidal Nuclear Matter Distributions of Superheavy Nuclei from Constrained Skyrme--HFB Calculations
journal, January 2017
- Kosior, A.; Staszczak, A.; Wong, C. -Y.
- Acta Physica Polonica B Proceedings Supplement, Vol. 10, Issue 1
Nuclear Ground-State Masses and Deformations
journal, March 1995
- Moller, P.; Nix, J. R.; Myers, W. D.
- Atomic Data and Nuclear Data Tables, Vol. 59, Issue 2, p. 185-381
The effective force NL3 revisited
journal, January 2009
- Lalazissis, G. A.; Karatzikos, S.; Fossion, R.
- Physics Letters B, Vol. 671, Issue 1
On magic numbers for super- and ultraheavy systems and hypothetical spherical double-magic nuclei
journal, December 2015
- Ismail, M.; Ellithi, A. Y.; Adel, A.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 1
Systematics of fission barriers in superheavy elements
journal, January 2004
- Bürvenich, T.; Bender, M.; Maruhn, J. A.
- Physical Review C, Vol. 69, Issue 1
Heavy-element fission barriers
journal, June 2009
- Möller, Peter; Sierk, Arnold J.; Ichikawa, Takatoshi
- Physical Review C, Vol. 79, Issue 6
Global performance of covariant energy density functionals: Ground state observables of even-even nuclei and the estimate of theoretical uncertainties
journal, May 2014
- Agbemava, S. E.; Afanasjev, A. V.; Ray, D.
- Physical Review C, Vol. 89, Issue 5
Neutron drip line: Single-particle degrees of freedom and pairing properties as sources of theoretical uncertainties
journal, January 2015
- Afanasjev, A. V.; Agbemava, S. E.; Ray, D.
- Physical Review C, Vol. 91, Issue 1
Pairing and rotational properties of actinides and superheavy nuclei in covariant density functional theory
journal, July 2013
- Afanasjev, A. V.; Abdurazakov, O.
- Physical Review C, Vol. 88, Issue 1
Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
journal, January 2010
- Delaroche, J. -P.; Girod, M.; Libert, J.
- Physical Review C, Vol. 81, Issue 1
Magic numbers of ultraheavy nuclei
journal, July 2005
- Denisov, V. Yu.
- Physics of Atomic Nuclei, Vol. 68, Issue 7
New parametrization for the nuclear covariant energy density functional with a point-coupling interaction
journal, November 2010
- Zhao, P. W.; Li, Z. P.; Yao, J. M.
- Physical Review C, Vol. 82, Issue 5
Measurement of the Neutron Radius of through Parity Violation in Electron Scattering
journal, March 2012
- Abrahamyan, S.; Ahmed, Z.; Albataineh, H.
- Physical Review Letters, Vol. 108, Issue 11
Central depression in nucleonic densities: Trend analysis in the nuclear density functional theory approach
journal, August 2017
- Schuetrumpf, B.; Nazarewicz, W.; Reinhard, P. -G.
- Physical Review C, Vol. 96, Issue 2
Octupole deformation in the ground states of even-even actinides and superheavy nuclei
journal, August 2017
- Agbemava, S. E.; Afanasjev, A. V.
- Physical Review C, Vol. 96, Issue 2
Error estimates of theoretical models: a guide
journal, May 2014
- Dobaczewski, J.; Nazarewicz, W.; Reinhard, P-G
- Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 7
Evidence for the Decay of Nuclear Matter Toroidal Geometries in Nucleus-Nucleus Collisions
journal, March 1997
- Stone, N. T. B.; Bjarki, O.; Gualtieri, E. E.
- Physical Review Letters, Vol. 78, Issue 11
Propagation of uncertainties in the Skyrme energy-density-functional model
journal, March 2013
- Gao, Y.; Dobaczewski, J.; Kortelainen, M.
- Physical Review C, Vol. 87, Issue 3
GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
journal, October 2017
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Physical Review Letters, Vol. 119, Issue 16
Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. VII. Simultaneous fits to masses and fission barriers
journal, June 2007
- Goriely, S.; Samyn, M.; Pearson, J. M.
- Physical Review C, Vol. 75, Issue 6
Covariant energy density functionals: Nuclear matter constraints and global ground state properties
journal, May 2016
- Afanasjev, A. V.; Agbemava, S. E.
- Physical Review C, Vol. 93, Issue 5
Shell stabilization of super- and hyperheavy nuclei without magic gaps
journal, August 2001
- Bender, M.; Nazarewicz, W.; Reinhard, P. -G.
- Physics Letters B, Vol. 515, Issue 1-2
Hyperheavy nuclei: Existence and stability
journal, July 2018
- Afanasjev, A. V.; Agbemava, S. E.; Gyawali, A.
- Physics Letters B, Vol. 782
Covariant density functional theory: Reexamining the structure of superheavy nuclei
journal, November 2015
- Agbemava, S. E.; Afanasjev, A. V.; Nakatsukasa, T.
- Physical Review C, Vol. 92, Issue 5
Toroidal high-spin isomers in the nucleus
journal, May 2017
- Staszczak, A.; Wong, Cheuk-Yin; Kosior, A.
- Physical Review C, Vol. 95, Issue 5
Cranked relativistic Hartree–Bogoliubov theory: formalism and application to the superdeformed bands in the A∼190 region
journal, August 2000
- Afanasjev, A. V.; Ring, P.; König, J.
- Nuclear Physics A, Vol. 676, Issue 1-4
Axial and reflection asymmetry of the nuclear ground state
journal, September 2008
- Möller, P.; Bengtsson, R.; Carlsson, B. G.
- Atomic Data and Nuclear Data Tables, Vol. 94, Issue 5
Termination of rotational bands: disappearance of quantum many-body collectivity
journal, December 1999
- Afanasjev, A. V.; Fossan, D. B.; Lane, G. J.
- Physics Reports, Vol. 322, Issue 1-2
Toroidal and spherical bubble nuclei
journal, May 1973
- Wong, C. Y.
- Annals of Physics, Vol. 77, Issue 1-2
Solution of the Skyrme HF+BCS equation on a 3D mesh
journal, September 2005
- Bonche, P.; Flocard, H.; Heenen, P. H.
- Computer Physics Communications, Vol. 171, Issue 1
Quantum nuclear pasta and nuclear symmetry energy
journal, May 2017
- Fattoyev, F. J.; Horowitz, C. J.; Schuetrumpf, B.
- Physical Review C, Vol. 95, Issue 5
Energy density functional for nuclei and neutron stars
journal, April 2013
- Erler, J.; Horowitz, C. J.; Nazarewicz, W.
- Physical Review C, Vol. 87, Issue 4
Pasta nucleosynthesis: Molecular dynamics simulations of nuclear statistical equilibrium
journal, June 2015
- Caplan, M. E.; Schneider, A. S.; Horowitz, C. J.
- Physical Review C, Vol. 91, Issue 6
Microscopic theory of nuclear fission: a review
journal, October 2016
- Schunck, N.; Robledo, L. M.
- Reports on Progress in Physics, Vol. 79, Issue 11
Fission properties for -process nuclei
journal, February 2012
- Erler, J.; Langanke, K.; Loens, H. P.
- Physical Review C, Vol. 85, Issue 2
A region of high-spin toroidal isomers
journal, November 2014
- Staszczak, Andrzej; Wong, Cheuk-Yin
- Physics Letters B, Vol. 738
Octupole deformation in the ground states of even-even nuclei: A global analysis within the covariant density functional theory
journal, April 2016
- Agbemava, S. E.; Afanasjev, A. V.; Ring, P.
- Physical Review C, Vol. 93, Issue 4
Fission barriers in covariant density functional theory: Extrapolation to superheavy nuclei
journal, February 2012
- Abusara, H.; Afanasjev, A. V.; Ring, P.
- Physical Review C, Vol. 85, Issue 2
Relativistic energy density functional description of shape transitions in superheavy nuclei
journal, August 2012
- Prassa, V.; Nikšić, T.; Lalazissis, G. A.
- Physical Review C, Vol. 86, Issue 2
Nuclear landscape in covariant density functional theory
journal, November 2013
- Afanasjev, A. V.; Agbemava, S. E.; Ray, D.
- Physics Letters B, Vol. 726, Issue 4-5
Toroidal Structure of Super-Heavy Nuclei in the hfb Theory
journal, February 2007
- Warda, M.
- International Journal of Modern Physics E, Vol. 16, Issue 02
Adiabatic fission barriers in superheavy nuclei
journal, January 2017
- Jachimowicz, P.; Kowal, M.; Skalski, J.
- Physical Review C, Vol. 95, Issue 1
Approximate particle number projection with density dependent forces: superdeformed bands in the A=150 and A=190 regions
journal, February 2000
- Valor, A.; Egido, J. L.; Robledo, L. M.
- Nuclear Physics A, Vol. 665, Issue 1-2
Relativistic nuclear energy density functionals: Adjusting parameters to binding energies
journal, September 2008
- Nikšić, T.; Vretenar, D.; Ring, P.
- Physical Review C, Vol. 78, Issue 3
Neutron-skin uncertainties of Skyrme energy density functionals
journal, September 2013
- Kortelainen, M.; Erler, J.; Nazarewicz, W.
- Physical Review C, Vol. 88, Issue 3
Mean-field based approaches to pairing correlations in atomic nuclei
journal, October 2002
- Anguiano, M.; Egido, J. L.; Robledo, L. M.
- Physics Letters B, Vol. 545, Issue 1-2
Superheavy, hyperheavy and bubble nuclei
journal, March 2001
- Berger, J. -F.; Bitaud, L.; Dechargé, J.
- Nuclear Physics A, Vol. 685, Issue 1-4
Assessing theoretical uncertainties in fission barriers of superheavy nuclei
journal, May 2017
- Agbemava, S. E.; Afanasjev, A. V.; Ray, D.
- Physical Review C, Vol. 95, Issue 5
High-spin torus isomers and their precession motions
journal, September 2014
- Ichikawa, T.; Matsuyanagi, K.; Maruhn, J. A.
- Physical Review C, Vol. 90, Issue 3
Microscopic description of complex nuclear decay: Multimodal fission
journal, July 2009
- Staszczak, A.; Baran, A.; Dobaczewski, J.
- Physical Review C, Vol. 80, Issue 1
Cluster radioactivity in superheavy nuclei
journal, October 2018
- Warda, M.; Zdeb, A.; Robledo, L. M.
- Physical Review C, Vol. 98, Issue 4
The role of fission in the r-process
journal, July 2007
- Martínez-Pinedo, G.; Mocelj, D.; Zinner, N. T.
- Progress in Particle and Nuclear Physics, Vol. 59, Issue 1
The r-process of stellar nucleosynthesis: Astrophysics and nuclear physics achievements and mysteries
journal, September 2007
- Arnould, M.; Goriely, S.; Takahashi, K.
- Physics Reports, Vol. 450, Issue 4-6
Shell structure of superheavy nuclei in self-consistent mean-field models
journal, August 1999
- Bender, M.; Rutz, K.; Reinhard, P. -G.
- Physical Review C, Vol. 60, Issue 3
“Shells” in deformed nuclei
journal, December 1968
- Strutinsky, V. M.
- Nuclear Physics A, Vol. 122, Issue 1
Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals
journal, December 2015
- Dobaczewski, J.; Afanasjev, A. V.; Bender, M.
- Nuclear Physics A, Vol. 944
Central depression in nuclear density and its consequences for the shell structure of superheavy nuclei
journal, February 2005
- Afanasjev, A. V.; Frauendorf, S.
- Physical Review C, Vol. 71, Issue 2
Self-consistent calculations of fission barriers in the Fm region
journal, July 2002
- Warda, M.; Egido, J. L.; Robledo, L. M.
- Physical Review C, Vol. 66, Issue 1