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

Title: Interplay between shape-phase transitions and shape coexistence in the Zr isotopes

Journal Article · · Physica Scripta
 [1];  [2];  [3]
  1. Hebrew Univ. of Jerusalem (Israel); OSTI
  2. Hebrew Univ. of Jerusalem (Israel)
  3. Yale Univ., New Haven, CT (United States)

We investigate the evolution of structure in the zirconium isotopes where one of the most complex situations encountered in nuclear physics occurs. We demonstrate the role of two concurrent types of quantum phase transitions, sharing a common critical point. The first type, involves an abrupt crossing of coexisting normal and intruder configurations. The second type, involves a gradual shape-phase transition within the intruder configuration, changing from weakly-deformed to prolate-deformed and finally to gamma-unstable. Finally, evidence for this scenario is provided by a detailed comparison with experimental data, using a definite algebraic framework.

Research Organization:
Yale Univ., New Haven, CT (United States)
Sponsoring Organization:
US-Israel Binational Science Foundation; USDOE
Grant/Contract Number:
FG02-91ER40608
OSTI ID:
1800738
Journal Information:
Physica Scripta, Journal Name: Physica Scripta Journal Issue: 2 Vol. 95; ISSN 0031-8949
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

References (51)

Interacting boson model of collective nuclear states III. The transition from SU(5) to SU(3) journal October 1978
Towards a unified microscopic description of nuclear deformation journal January 1977
Studies of the ground-state properties of the Lipkin-Meshkov-Glick model via the atomic coherent states journal May 1978
Configuration mixing in the interacting boson model journal April 1981
The interacting Boson Model in the germanium region journal May 1983
IBA consistent-Q formalism extended to the vibrational region journal June 1985
A shell-model interpretation of intruder states and the onset of deformation in even-even nuclei journal June 1985
Deformation and shape coexistence of 0+ states in 98Sr and 100Zr journal October 1989
Configuration mixing in Mo isotopes journal March 1982
Quantitative description of configuration mixing in the interacting boson model journal March 1982
A shell-model description of 0+ intruder states in even-even nuclei journal May 1987
Table of experimental nuclear ground state charge radii: An update journal January 2013
Criticality in the configuration-mixed interacting boson model: (1) mixing journal June 2007
Lifetime measurements of the first 2 + states in 104,106Zr: Evolution of ground-state deformations journal November 2015
Quantum phase transitions in the interacting boson model journal January 2009
The Interacting Boson Model book November 2011
The classical limit of quantum nonspin systems journal May 1979
Shape coexistence in the microscopically guided interacting boson model journal January 2016
Unified shell-model description of nuclear deformation journal August 1979
Predictions of the interacting boson approximation in a consistent Q framework journal October 1983
Intruder bands and configuration mixing in lead isotopes journal February 2003
Evolving shape coexistence in the lead isotopes: The geometry of configuration mixing in nuclei journal March 2004
Phase transitions versus shape coexistence journal May 2004
Phase transitions in configuration mixed models journal June 2006
Neutrinoless double- β decay in the microscopic interacting boson model journal April 2009
Shell model description of zirconium isotopes journal June 2009
Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction journal January 2010
Platinum nuclei: Concealed configuration mixing and shape coexistence journal July 2011
Rapid structural change in low-lying states of neutron-rich Sr and Zr isotopes journal March 2012
Consistent description of nuclear charge radii and electric monopole transitions journal March 2012
Triple shape coexistence and shape evolution in the N = 58 Sr and Zr isotopes journal March 2012
Nuclear shape coexistence: A study of the even-even Hg isotopes using the interacting boson model with configuration mixing journal January 2014
Nuclear shape coexistence in Po isotopes: An interacting boson model study journal September 2015
Structural evolution in A ≈ 100 nuclei within the mapped interacting boson model based on the Gogny energy density functional journal October 2016
Experimental study of the lifetime and phase transition in neutron-rich Zr 98 , 100 , 102 journal November 2017
Quadrupole phonons in the cadmium isotopes journal September 2018
Sub-shell closure and shape coexistence in the transitional nucleus Zr 98 journal October 2018
Intertwined quantum phase transitions in the Zr isotopes journal June 2019
Correlating Radii and Electric Monopole Transitions of Atomic Nuclei journal July 2008
Collective Structure in Zr 94 and Subshell Effects in Shape Coexistence journal January 2013
Quantum Phase Transition in the Shape of Zr isotopes journal October 2016
First Measurement of Collectivity of Coexisting Shapes Based on Type II Shell Evolution: The Case of Zr 96 journal October 2016
Are There Signatures of Harmonic Oscillator Shells Far from Stability? First Spectroscopy of Zr 110 journal January 2017
Evidence for Coexisting Shapes through Lifetime Measurements in Zr 98 journal November 2018
Experimental Information Concerning Deformation of Neutron Rich Nuclei in the A ∼ 100 Region journal July 1970
Relationship between the Bohr Collective Hamiltonian and the Interacting-Boson Model journal June 1980
Classical Limit of the Interacting-Boson Model journal June 1980
Analytic Description of Critical Point Nuclei in a Spherical-Axially Deformed Shape Phase Transition journal July 2001
Shell-model foundations of the interacting boson model journal April 1987
Quantum phase transitions in the shapes of atomic nuclei journal August 2010
Shape coexistence in atomic nuclei journal November 2011

Similar Records

Intertwined quantum phase transitions in the Zr isotopes
Journal Article · 2019 · Physical Review C · OSTI ID:1610158

Shape Coexistence In Light Krypton Isotopes
Journal Article · 2005 · AIP Conference Proceedings · OSTI ID:20630876

Shape coexistence and phase transitions in the platinum isotopes
Journal Article · 2008 · Physical Review. C, Nuclear Physics · OSTI ID:21192101