DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Landscape of nuclear deformation softness with spherical quasiparticle random-phase approximation

Journal Article · · Physical Review. C
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4]
  1. Ho Chi Minh City University of Education (Vietnam); University of Science, Ho Chi Minh City (Vietnam); Vietnam National University, Ho Chi Minh City (Vietnam)
  2. Institute for Basic Science (IBS), Daejeon (Korea); San Diego State University, CA (United States)
  3. Institute for Basic Science, Daejeon (Korea)
  4. Tel Aviv University (Israel)

We investigate the stability and softness of nuclei against quadrupole, octupole, and hexadecapole deformation. By applying the spherical Skyrme-force Hartree-Fock Bardeen-Cooper-Schrieffer quasiparticle random phase approximation, we diagnose ground-state deformation when imaginary solutions are obtained, i.e., the spherical ground state collapses. We also calculate the multipole polarizability in spherical nuclei with no collapse, as a measure of softness. This numerically light and theoretically sound method is found able to capture deformation patterns across the nuclide chart. As a result, the connection between the intrinsic shape of nuclei and the dynamics of their low-lying collective states is established and the role of shell structure is discussed.

Research Organization:
San Diego State Univ., CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0004075
OSTI ID:
2298947
Alternate ID(s):
OSTI ID: 2473546
Journal Information:
Physical Review. C, Vol. 109, Issue 2; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (44)

Self-consistent RPA calculations with Skyrme-type interactions: The skyrme_rpa program journal January 2013
On the non-uniform behaviour of 31− state energies in even-even spherical nuclei journal September 1981
Limits on assigning a shape to a nucleus journal May 2020
Large-scale mean-field calculations from proton to neutron drip lines using the D1S Gogny force journal August 2007
B(E2) Evaluation for 0 1 + → 2 1 + Transitions in Even-Even Nuclei journal June 2014
A Hartree–Fock Nuclear mass Table journal March 2001
Quantum phase transitions and structural evolution in nuclei journal May 2007
Effective Interactions and Coupling Schemes in Nuclei journal October 1962
Nuclear mass table in deformed relativistic Hartree–Bogoliubov theory in continuum, I: Even–even nuclei journal March 2022
Vibrational states of nuclei in the random phase approximation journal January 1961
The impact of nuclear shape on the emergence of the neutron dripline journal November 2020
Quantified limits of the nuclear landscape journal April 2020
Pear-shaped atomic nuclei journal July 2020
Description of nuclear octupole and quadrupole deformation close to the axial symmetry and phase transitions in the octupole mode journal December 2004
Microscopic origin of nuclear deformations journal July 1994
Possible Unified Interpretation of Heavy Nuclei journal May 1985
Physical and unphysical solutions of the random-phase approximation equation: journal June 2016
On Closed Shells in Nuclei journal August 1948
Effect of Weak Binding on the Apparent Spin-Orbit Splitting in Nuclei journal October 2017
Nuclear ground-state masses and deformations: FRDM(2012) journal May 2016
Enhanced T -odd, P -odd electromagnetic moments in reflection asymmetric nuclei journal September 1997
Stability conditions and nuclear rotations in the Hartree-Fock theory journal November 1960
Electric dipole moments as probes of new physics journal July 2005
Towards a better parametrisation of Skyrme-like effective forces: A critical study of the SkM force journal September 1982
Evidence of Quadrupole and Octupole Deformations in Zr 96 + Zr 96 and Ru 96 + Ru 96 Collisions at Ultrarelativistic Energies journal January 2022
Evidence of Hexadecapole Deformation in Uranium-238 at the Relativistic Heavy Ion Collider journal May 2023
Self-consistent Skyrme quasiparticle random-phase approximation for use in axially symmetric nuclei of arbitrary mass journal September 2010
Shape of atomic nuclei in heavy ion collisions journal January 2022
Description of nuclear octupole and quadrupole deformation close to axial symmetry: Critical-point behavior ofRa224andTh224 journal February 2008
Analytic description of critical-point actinides in a transition from octupole deformation to octupole vibrations journal June 2005
Ab Initio Limits of Atomic Nuclei journal January 2021
Origin of octupole deformation softness in atomic nuclei journal August 2023
A Skyrme parametrization from subnuclear to neutron star densities Part II. Nuclei far from stabilities journal May 1998
Collective T - and P -Odd Electromagnetic Moments in Nuclei with Octupole Deformations journal June 1996
Systematics of the first 2 + excitation in spherical nuclei with the Skryme quasiparticle random-phase approximation journal October 2008
Studies of pear-shaped nuclei using accelerated radioactive beams journal May 2013
The islands of shape coexistence within the Elliott and the proxy-SU(3) Models journal March 2021
Search for the chiral magnetic effect with isobar collisions at s N N = 200 GeV by the STAR Collaboration at the BNL Relativistic Heavy Ion Collider journal January 2022
Hexadecapole strength in the rare isotopes 74,76Kr journal June 2023
Valence p - n interactions and the development of collectivity in heavy nuclei journal February 1987
Unified shell-model description of nuclear deformation journal August 1979
On the "Magic Numbers" in Nuclear Structure journal June 1949
Parameter-free solution of the Bohr Hamiltonian for actinides critical in the octupole mode journal February 2006
Nuclear Collective Motion: Models and Theory book May 2010