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

Title: Evidence for Rigid Triaxial Deformation in Ge 76 from a Model-Independent Analysis

Journal Article · · Physical Review Letters
ORCiD logo [1];  [2];  [3];  [2];  [4];  [4];  [1];  [5];  [5];  [6];  [5];  [7];  [8];  [9];  [9];  [10];  [11];  [8];  [5];  [12] more »;  [5];  [5];  [9];  [11];  [5];  [5];  [10];  [5] « less
  1. United States Naval Academy, Annapolis, MD (United States). Dept. of Physics
  2. Univ. of North Carolina, Chapel Hill, NC (United States). Dept. of Physics and Astronomy; Duke Univ., Durham, NC (United States). Triangle Univ. Nuclear Lab.
  3. Argonne National Lab. (ANL), Argonne, IL (United States). Physics Div.; Brookhaven National Lab. (BNL), Upton, NY (United States). National Nuclear Data Center
  4. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  5. Argonne National Lab. (ANL), Argonne, IL (United States). Physics Div.
  6. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Idaho National Lab. (INL), Idaho Falls, ID (United States)
  7. Univ. of Massachusetts, Lowell, MA (United States). Dept. of Physics and Applied Physics
  8. Univ. of Rochester, Rochester, NY (United States). Dept. of Physics and Astronomy
  9. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Nuclear Science Div.
  10. Univ. of Maryland, College Park, MD (United States). Dept. of Chemistry and Biochemistry
  11. Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Lab. and Dept. of Physics and Astronomy
  12. Duke Univ., Durham, NC (United States). Triangle Univ. Nuclear Lab. and Dept. of Physics

An extensive, model-independent analysis of the nature of triaxial deformation in 76Ge, a candidate for neutrinoless double-beta (0νββ) decay, was carried out following multistep Coulomb excitation. Shape parameters deduced on the basis of a rotational-invariant sum-rule analysis provided considerable insight into the underlying collectivity of the ground-state and γ bands. Both sequences were determined to be characterized by the same β and γ deformation parameter values. In addition, compelling evidence for low-spin, rigid triaxial deformation in 76Ge was obtained for the first time from the analysis of the statistical fluctuations of the quadrupole asymmetry deduced from the measured E2 matrix elements. Furthermore, these newly determined shape parameters are important input and constraints for calculations aimed at providing, with suitable accuracy, the nuclear matrix elements relevant to 0νββ.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States); University of North Carolina, Chapel Hill, NC (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
National Science Foundation (NSF); US Department of the Navy, Office of Naval Research (ONR); USDOE Office of Science (SC), Nuclear Physics (NP); USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC02-06CH11357; AC52-07NA27344; AC02-05CH11231; FG02-97ER41041; FG02-97ER41033; FG02-08ER41556; FG02-94ER40848; FG02-94ER4084; PHY-15655464; PHY-1811855; PHY-1502092
OSTI ID:
1575067
Alternate ID(s):
OSTI ID: 1560733; OSTI ID: 1578251; OSTI ID: 1658906; OSTI ID: 1659324
Report Number(s):
LLNL-JRNL-778285; PRLTAO; 153280; TRN: US2100165
Journal Information:
Physical Review Letters, Vol. 123, Issue 10; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 27 works
Citation information provided by
Web of Science

References (42)

Triaxiality in selenium-76 journal May 2019
Systematic study of nuclear matrix elements in neutrinoless double- β decay with a beyond-mean-field covariant density functional theory journal February 2015
Neutrinoless double- β decay of deformed nuclei within quasiparticle random-phase approximation with a realistic interaction journal March 2011
Rotational states in even atomic nuclei journal September 1958
Role of triaxiality in 76 Ge and 76 Se nuclei studied with Gogny energy density functionals journal February 2017
Nuclear Structure Relevant to Neutrinoless Double β Decay: Ge 76 and Se 76 journal March 2008
Description of the Rigid Triaxial Deformation at Low Energy in 76 Ge with the Proton-Neutron Interacting Model IBM2 journal December 2013
Multiple Coulomb excitation of a 76 Ge beam journal June 2001
The MAJORANA DEMONSTRATOR Neutrinoless Double-Beta Decay Experiment journal January 2014
Nuclear Data Sheets Update for A = 76 journal January 1995
Nuclear structure relevant to neutrinoless double β decay: The valence protons in Ge 76 and Se 76 journal February 2009
Microscopic analysis of shape evolution and triaxiality in germanium isotopes journal April 2014
High-spin structure of neutron-rich Se, As, Ge, and Ga isotopes journal October 2008
Nuclear Shapes Studied by Coulomb Excitation journal December 1986
Inelastic neutron scattering studies of Se 76 journal January 2019
Intrinsic Quadrupole Moments and Shapes of Nuclear Ground States and Excited States journal January 1972
Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review journal March 2017
Surface Oscillations in Even-Even Nuclei journal May 1956
Coulomb-excitation studies of Ge 70 , Ge 72 , Ge 74 , and Ge 76 journal December 1980
Evidence of a spherical to prolate shape transition in the germanium nuclei journal October 1980
Shape coexistence and the role of axial asymmetry in 72Ge journal March 2016
Nuclear structure of Ge 76 from inelastic neutron scattering measurements and shell model calculations journal January 2017
Novel Δ J = 1 Sequence in Ge 78 : Possible Evidence for Triaxiality journal May 2018
Quadrupole collectivity and shapes of OsPt nuclei journal September 1996
CHICO2, a two-dimensional pixelated parallel-plate avalanche counter
  • Wu, C. Y.; Cline, D.; Hayes, A.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 814 https://doi.org/10.1016/j.nima.2016.01.034
journal April 2016
Large-scale calculations of the double- β decay of 76 Ge , 130 Te , 136 Xe , and 150 Nd in the deformed self-consistent Skyrme quasiparticle random-phase approximation journal June 2013
Octupole correlations in low-lying states of Nd 150 and Sm 150 and their impact on neutrinoless double- β decay journal July 2016
Search for Neutrinoless Double- β Decay in Ge 76 with the Majorana Demonstrator journal March 2018
Limits on Neutrino Masses from Neutrinoless Double- β Decay journal July 2012
Relativistic nuclear energy density functionals: Adjusting parameters to binding energies journal September 2008
Nature of γ deformation in Ge and Se nuclei and the triaxial projected shell model description journal January 2014
The performance of the Gamma-Ray Energy Tracking In-beam Nuclear Array GRETINA
  • Paschalis, S.; Lee, I. Y.; Macchiavelli, A. O.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 709 https://doi.org/10.1016/j.nima.2013.01.009
journal May 2013
The search for neutrinoless double beta decay journal January 2012
Experimental and theoretical investigations of quadrupole collective degrees of freedom in 104Ru journal February 2006
Background-free search for neutrinoless double-β decay of 76Ge with GERDA journal April 2017
Results on Neutrinoless Double- β Decay of Ge 76 from Phase I of the GERDA Experiment journal September 2013
Staggering in γ-band energies and the transition between different structural symmetries in nuclei journal August 2007
Heavy-ion Coulomb excitation of 72Ge journal December 1990
Energy Density Functional Study of Nuclear Matrix Elements for Neutrinoless β β Decay journal December 2010
Evidence for rigid triaxial deformation at low energy in 76 Ge journal April 2013
Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies text January 2008
Shape coexistence and the role of axial asymmetry in $^{72}$Ge text January 2016