Superheavy nuclei in a microscopic collective Hamiltonian approach: The impact of beyond-mean-field correlations on ground state and fission properties

Shi, Z.; Afanasjev, Anatoli V.; Li, Z. P.; Meng, J.

doi:10.1103/PhysRevC.99.064316

Title: Superheavy nuclei in a microscopic collective Hamiltonian approach: The impact of beyond-mean-field correlations on ground state and fission properties

Abstract

The effect of beyond-mean-field effects on the ground state and fission properties of superheavy nuclei has been investigated in a five-dimensional collective Hamiltonian based on covariant density functional theory. The inclusion of dynamical correlations reduces the impact of the $Z = 120$ shell closure and induces substantial collectivity for the majority of the $Z = 120$ nuclei which otherwise are spherical at the mean-field level (as seen in the calculations with the PC-PK1 functional). As a result, they lead to a substantial convergence of the predictions of the functionals DD-PC1 and PC-PK1 which are different at the mean-field level. On the contrary, the predictions of these two functionals remain distinctly different for the $N = 184$ nuclei even when dynamical correlations are included. These nuclei are mainly spherical (oblate) in the calculations with PC-PK1 (DD-PC1). Our calculations for the first time reveal significant impact of dynamical correlations on the heights of inner fission barriers of superheavy nuclei with soft potential energy surfaces, the minimum of which at the mean-field level is located at spherical shape. These correlations affect the fission barriers of the nuclei, which are deformed in the ground state at the mean-field level, to a lesser degree.

Authors:

Shi, Z. ^[1]; Afanasjev, Anatoli V. ^[2]; Li, Z. P. ^[3]; Meng, J. ^[4]

Beihang Univ., Beijing (China)
Mississippi State Univ., Mississippi State, MS (United States); Kyoto Univ. (Japan)
Southwest Univ., Chongqing (China)
Peking Univ., Beijing (China); Kyoto Univ. (Japan)

Publication Date:: Wed Jun 12 00:00:00 EDT 2019

Research Org.:: Mississippi State Univ., Mississippi State, MS (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); National Natural Science Foundation of China (NSFC)

OSTI Identifier:: 1597101

Alternate Identifier(s):: OSTI ID: 1546230

Grant/Contract Number:: SC0013037; SC0009971

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 99; Journal Issue: 6; 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


                    Shi, Z., Afanasjev, Anatoli V., Li, Z. P., and Meng, J. Superheavy nuclei in a microscopic collective Hamiltonian approach: The impact of beyond-mean-field correlations on ground state and fission properties.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevC.99.064316.

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                    Shi, Z., Afanasjev, Anatoli V., Li, Z. P., & Meng, J. Superheavy nuclei in a microscopic collective Hamiltonian approach: The impact of beyond-mean-field correlations on ground state and fission properties.  United States.  https://doi.org/10.1103/PhysRevC.99.064316

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                    Shi, Z., Afanasjev, Anatoli V., Li, Z. P., and Meng, J. Wed .  
"Superheavy nuclei in a microscopic collective Hamiltonian approach: The impact of beyond-mean-field correlations on ground state and fission properties".  United States.  https://doi.org/10.1103/PhysRevC.99.064316.  https://www.osti.gov/servlets/purl/1597101.

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@article{osti_1597101,

  title        = {Superheavy nuclei in a microscopic collective Hamiltonian approach: The impact of beyond-mean-field correlations on ground state and fission properties},

  author       = {Shi, Z. and Afanasjev, Anatoli V. and Li, Z. P. and Meng, J.},

  abstractNote = {The effect of beyond-mean-field effects on the ground state and fission properties of superheavy nuclei has been investigated in a five-dimensional collective Hamiltonian based on covariant density functional theory. The inclusion of dynamical correlations reduces the impact of the Z=120 shell closure and induces substantial collectivity for the majority of the Z=120 nuclei which otherwise are spherical at the mean-field level (as seen in the calculations with the PC-PK1 functional). As a result, they lead to a substantial convergence of the predictions of the functionals DD-PC1 and PC-PK1 which are different at the mean-field level. On the contrary, the predictions of these two functionals remain distinctly different for the N=184 nuclei even when dynamical correlations are included. These nuclei are mainly spherical (oblate) in the calculations with PC-PK1 (DD-PC1). Our calculations for the first time reveal significant impact of dynamical correlations on the heights of inner fission barriers of superheavy nuclei with soft potential energy surfaces, the minimum of which at the mean-field level is located at spherical shape. These correlations affect the fission barriers of the nuclei, which are deformed in the ground state at the mean-field level, to a lesser degree.},

  doi          = {10.1103/PhysRevC.99.064316},

  journal      = {Physical Review C},

  number       = 6,

  volume       = 99,

  place        = {United States},

  year         = {Wed Jun 12 00:00:00 EDT 2019},

  month        = {Wed Jun 12 00:00:00 EDT 2019}

}

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Title: Superheavy nuclei in a microscopic collective Hamiltonian approach: The impact of beyond-mean-field correlations on ground state and fission properties

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Citation Formats

Microscopic description of fission in uranium isotopes with the Gogny energy density functional journal, May 2014

Effect of pairing correlations on nuclear low-energy structure: BCS and general Bogoliubov transformation journal, November 2013

Fission barriers in actinides in covariant density functional theory: The role of triaxiality journal, October 2010

The fission barriers in Actinides and superheavy nuclei in covariant density functional theory journal, May 2010

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Relativistic continuum Hartree Bogoliubov theory for ground-state properties of exotic nuclei journal, October 2006

Non-axial shapes in spontaneous fission of superheavy nuclei journal, May 1999

Relativistic mean-field interaction with density-dependent meson-nucleon vertices based on microscopical calculations journal, November 2011

Triaxial quadrupole dynamics and the inner fission barrier of some heavy even-even nuclei journal, September 2017

Fission properties of superheavy nuclei for r -process calculations journal, March 2018

Shell structure of superheavy nuclei in self-consistent mean-field models text, January 1999

Enhanced collectivity in neutron-deficient Sn isotopes in energy functional based collective Hamiltonian journal, October 2012

Energy density functional analysis of shape evolution in N = 28 isotones journal, November 2011

Superdeformed oblate superheavy nuclei journal, May 2011

Microscopic study of induced fission dynamics of Th 226 with covariant energy density functionals journal, August 2017

Concerning the calculation of the nuclear moment of inertia journal, April 1961

A finite range pairing force for density functional theory in superfluid nuclei journal, June 2009

The topology of multidimensional potential energy surfaces: Theory and application to peptide structure and kinetics journal, January 1997

Structure properties of even–even actinides at normal and super deformed shapes analysed using the Gogny force journal, May 2006

Pairing-induced speedup of nuclear spontaneous fission journal, December 2014

Low-lying states in even Gd isotopes studied with five-dimensional collective Hamiltonian based on covariant density functional theory journal, April 2018

Fission barriers and probabilities of spontaneous fission for elements with Z≥ 100 journal, December 2015

The effective force NL3 revisited journal, January 2009

Shape coexistence and triaxiality in the superheavy nuclei journal, February 2005

Heavy-element fission barriers journal, June 2009

Cranked relativistic Hartree-Bogoliubov theory: Probing the gateway to superheavy nuclei journal, February 2003

Relativistic energy density functionals: Low-energy collective states of Pu 240 and Er 166 journal, June 2010

Super-heavy element research journal, February 2015

Global performance of covariant energy density functionals: Ground state observables of even-even nuclei and the estimate of theoretical uncertainties journal, May 2014

Magic numbers for superheavy nuclei in relativistic continuum Hartree–Bogoliubov theory journal, May 2005

Pairing and rotational properties of actinides and superheavy nuclei in covariant density functional theory journal, July 2013

Fission half-lives of superheavy nuclei in a microscopic approach journal, July 2012

Stability of heavy and superheavy elements journal, November 1994

New parametrization for the nuclear covariant energy density functional with a point-coupling interaction journal, November 2010

Relativistic nuclear energy density functionals: Mean-field and beyond journal, July 2011

Synthesis and study of properties of superheavy atoms. Factory of Superheavy Elements journal, September 2016

Complete numerical solution of Bohr's collective Hamiltonian journal, February 1967

Production and Decay of the Heaviest Nuclei 1 293 , 294 17 and 1 294 18 journal, October 2012

Multidimensionally-constrained relativistic mean-field study of spontaneous fission: Coupling between shape and pairing degrees of freedom journal, April 2016

On the spontaneous fission of nuclei with Z near 114 and N near 184 journal, July 1968

Beyond the relativistic mean-field approximation. III. Collective Hamiltonian in five dimensions journal, March 2009

Tidal wave in Pd 102 : An extended five-dimensional collective Hamiltonian description journal, April 2016

Nuclear Moments of Inertia due to Nucleon Motion in a Rotating Well journal, September 1956

Superheavy nuclei in self-consistent nuclear calculations journal, July 1997

Microscopic modeling of mass and charge distributions in the spontaneous fission of Pu 240 journal, January 2016

Shell stabilization of super- and hyperheavy nuclei without magic gaps journal, August 2001

Covariant density functional theory: Reexamining the structure of superheavy nuclei journal, November 2015

Microscopic analysis of order parameters in nuclear quantum phase transitions journal, December 2009

Ground-state properties of the heaviest nuclei analyzed in a multidimensional deformation space journal, October 1991

Microscopic theory of nuclear fission: a review journal, October 2016

Fission properties for r -process nuclei journal, February 2012

Microscopic analysis of nuclear quantum phase transitions in the N ≈ 90 region journal, May 2009

Octupole deformation in the ground states of even-even nuclei: A global analysis within the covariant density functional theory journal, April 2016

Fission barriers in covariant density functional theory: Extrapolation to superheavy nuclei journal, February 2012

Relativistic energy density functional description of shape transitions in superheavy nuclei journal, August 2012

The zero-point energy correction and its effect on nuclear dynamics journal, October 1979

Global properties of even-even superheavy nuclei in macroscopic-microscopic models journal, October 2005

Relativistic nuclear energy density functionals: Adjusting parameters to binding energies journal, September 2008

Global analysis of quadrupole shape invariants based on covariant energy density functionals journal, May 2017

Assessing theoretical uncertainties in fission barriers of superheavy nuclei journal, May 2017

Theory of Nuclear Fission book, January 2012

Shell structure of superheavy nuclei in self-consistent mean-field models journal, August 1999

On the nuclear structure and stability of heavy and superheavy elements journal, June 1969

Self-consistent calculations of fission barriers in the Fm region journal, July 2002

Fission of Super-Heavy Nuclei Explored with Skyrme Forces journal, April 2009

Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies text, January 2008

Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions text, January 2008

A finite range pairing force for density functional theory in superfluid nuclei text, January 2009

The effective force NL3 revisited text, January 2009

Microscopic Analysis of Order Parameters in Nuclear Quantum Phase Transitions text, January 2009

Fission of super-heavy nuclei explored with Skyrme forces preprint, January 2010

Superdeformed Oblate Superheavy Nuclei? text, January 2010

Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond text, January 2011

Fission half-lives of super-heavy nuclei in a microscopic approach text, January 2012

Fission barriers in covariant density functional theory: extrapolation to superheavy nuclei text, January 2012

Microscopic description of fission in uranium isotopes with the Gogny energy density functional
journal, May 2014

Effect of pairing correlations on nuclear low-energy structure: BCS and general Bogoliubov transformation
journal, November 2013

Fission barriers in actinides in covariant density functional theory: The role of triaxiality
journal, October 2010

The fission barriers in Actinides and superheavy nuclei in covariant density functional theory
journal, May 2010

Relativistic Hartree?Bogoliubov theory: static and dynamic aspects of exotic nuclear structure
journal, April 2005

New relativistic mean-field interaction with density-dependent meson-nucleon couplings
journal, February 2005

Microscopic description of triaxiality in Ru isotopes with covariant energy density functional theory
journal, March 2018

Relativistic continuum Hartree Bogoliubov theory for ground-state properties of exotic nuclei
journal, October 2006

Non-axial shapes in spontaneous fission of superheavy nuclei
journal, May 1999

Relativistic mean-field interaction with density-dependent meson-nucleon vertices based on microscopical calculations
journal, November 2011

Triaxial quadrupole dynamics and the inner fission barrier of some heavy even-even nuclei
journal, September 2017

Fission properties of superheavy nuclei for $r$ -process calculations
journal, March 2018

Shell structure of superheavy nuclei in self-consistent mean-field models
text, January 1999

Enhanced collectivity in neutron-deficient Sn isotopes in energy functional based collective Hamiltonian
journal, October 2012

Energy density functional analysis of shape evolution in $N = 28$ isotones
journal, November 2011

Superdeformed oblate superheavy nuclei
journal, May 2011

Microscopic study of induced fission dynamics of ${}^{226}{Th}$ with covariant energy density functionals
journal, August 2017

Concerning the calculation of the nuclear moment of inertia
journal, April 1961

A finite range pairing force for density functional theory in superfluid nuclei
journal, June 2009

The topology of multidimensional potential energy surfaces: Theory and application to peptide structure and kinetics
journal, January 1997

Structure properties of even–even actinides at normal and super deformed shapes analysed using the Gogny force
journal, May 2006

Pairing-induced speedup of nuclear spontaneous fission
journal, December 2014

Low-lying states in even Gd isotopes studied with five-dimensional collective Hamiltonian based on covariant density functional theory
journal, April 2018

Fission barriers and probabilities of spontaneous fission for elements with Z≥ 100
journal, December 2015

The effective force NL3 revisited
journal, January 2009

Shape coexistence and triaxiality in the superheavy nuclei
journal, February 2005

Heavy-element fission barriers
journal, June 2009

Cranked relativistic Hartree-Bogoliubov theory: Probing the gateway to superheavy nuclei
journal, February 2003

Relativistic energy density functionals: Low-energy collective states of ${}^{240}{Pu}$ and ${}^{166}{Er}$
journal, June 2010

Super-heavy element research
journal, February 2015

Global performance of covariant energy density functionals: Ground state observables of even-even nuclei and the estimate of theoretical uncertainties
journal, May 2014

Magic numbers for superheavy nuclei in relativistic continuum Hartree–Bogoliubov theory
journal, May 2005

Pairing and rotational properties of actinides and superheavy nuclei in covariant density functional theory
journal, July 2013

Fission half-lives of superheavy nuclei in a microscopic approach
journal, July 2012

Stability of heavy and superheavy elements
journal, November 1994

New parametrization for the nuclear covariant energy density functional with a point-coupling interaction
journal, November 2010

Relativistic nuclear energy density functionals: Mean-field and beyond
journal, July 2011

Synthesis and study of properties of superheavy atoms. Factory of Superheavy Elements
journal, September 2016

Complete numerical solution of Bohr's collective Hamiltonian
journal, February 1967

Production and Decay of the Heaviest Nuclei ${}^{293, 294}1 17$ and ${}^{294}1 18$
journal, October 2012

Multidimensionally-constrained relativistic mean-field study of spontaneous fission: Coupling between shape and pairing degrees of freedom
journal, April 2016

On the spontaneous fission of nuclei with Z near 114 and N near 184
journal, July 1968

Beyond the relativistic mean-field approximation. III. Collective Hamiltonian in five dimensions
journal, March 2009

Tidal wave in ${}^{102}{Pd}$ : An extended five-dimensional collective Hamiltonian description
journal, April 2016

Nuclear Moments of Inertia due to Nucleon Motion in a Rotating Well
journal, September 1956

Superheavy nuclei in self-consistent nuclear calculations
journal, July 1997

Microscopic modeling of mass and charge distributions in the spontaneous fission of ${}^{240}{Pu}$
journal, January 2016

Shell stabilization of super- and hyperheavy nuclei without magic gaps
journal, August 2001

Covariant density functional theory: Reexamining the structure of superheavy nuclei
journal, November 2015

Microscopic analysis of order parameters in nuclear quantum phase transitions
journal, December 2009

Ground-state properties of the heaviest nuclei analyzed in a multidimensional deformation space
journal, October 1991

Microscopic theory of nuclear fission: a review
journal, October 2016

Fission properties for $r$ -process nuclei
journal, February 2012

Microscopic analysis of nuclear quantum phase transitions in the $N \approx 90$ region
journal, May 2009

Octupole deformation in the ground states of even-even nuclei: A global analysis within the covariant density functional theory
journal, April 2016

Fission barriers in covariant density functional theory: Extrapolation to superheavy nuclei
journal, February 2012

Relativistic energy density functional description of shape transitions in superheavy nuclei
journal, August 2012

The zero-point energy correction and its effect on nuclear dynamics
journal, October 1979

Global properties of even-even superheavy nuclei in macroscopic-microscopic models
journal, October 2005

Relativistic nuclear energy density functionals: Adjusting parameters to binding energies
journal, September 2008

Global analysis of quadrupole shape invariants based on covariant energy density functionals
journal, May 2017

Assessing theoretical uncertainties in fission barriers of superheavy nuclei
journal, May 2017

Theory of Nuclear Fission
book, January 2012

Shell structure of superheavy nuclei in self-consistent mean-field models
journal, August 1999

On the nuclear structure and stability of heavy and superheavy elements
journal, June 1969

Self-consistent calculations of fission barriers in the Fm region
journal, July 2002

Fission of Super-Heavy Nuclei Explored with Skyrme Forces
journal, April 2009

Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
text, January 2008

Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
text, January 2008

A finite range pairing force for density functional theory in superfluid nuclei
text, January 2009

The effective force NL3 revisited
text, January 2009

Microscopic Analysis of Order Parameters in Nuclear Quantum Phase Transitions
text, January 2009

Fission of super-heavy nuclei explored with Skyrme forces
preprint, January 2010

Superdeformed Oblate Superheavy Nuclei?
text, January 2010

Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
text, January 2011

Fission half-lives of super-heavy nuclei in a microscopic approach
text, January 2012

Fission barriers in covariant density functional theory: extrapolation to superheavy nuclei
text, January 2012

Relativistic Energy Density Functional Description of Shape Transition in Superheavy Nuclei
text, January 2012

Energy Density Functional analysis of shape evolution in N=28 isotones
text, January 2012

Pairing and rotational properties of actinides and superheavy nuclei in covariant density functional theory
text, January 2013