Evidence for Rigid Triaxial Deformation in Ge76 from a Model-Independent Analysis

Ayangeakaa, A. D.; Janssens, R. V. F.; Zhu, S.; Little, D.; Henderson, J.; Wu, C. Y.; Hartley, D. J.; Albers, M.; Auranen, K.; Bucher, B.; Carpenter, M. P.; Chowdhury, P.; Cline, D.; Crawford, H. L.; Fallon, P.; Forney, A. M.; Gade, A.; Hayes, A. B.; Kondev, F. G.; Krishichayan, .; Lauritsen, T.; Li, J.; Macchiavelli, A. O.; Rhodes, D.; Seweryniak, D.; Stolze, S. M.; Walters, W. B.; Wu, J.

doi:10.1103/physrevlett.123.102501

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

Abstract

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 multi-step 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. 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.

Authors:

^[1]; Janssens, R. V. F. ^[2]; Zhu, S. ^[3]; Little, D. ^[2]; Henderson, J. ^[4]; Wu, C. Y. ^[4]; Hartley, D. J. ^[1]; Albers, M. ^[5]; Auranen, K. ^[5]; Bucher, B. ^[6]; Carpenter, M. P. ^[5]; Chowdhury, P. ^[7]; Cline, D. ^[8]; Crawford, H. L. ^[9]; Fallon, P. ^[9]; Forney, A. M. ^[10]; Gade, A. ^[11]; Hayes, A. B. ^[8]; Kondev, F. G. ^[5]; Krishichayan, . ^[12] more »

United States Naval Academy, Annapolis, MD (United States). Dept. of Physics
Univ. of North Carolina, Chapel Hill, NC (United States). Dept. of Physics and Astronomy; Duke Univ., Durham, NC (United States). Triangle Univ. Nuclear Lab.
Argonne National Lab. (ANL), Argonne, IL (United States). Physics Div.; Brookhaven National Lab. (BNL), Upton, NY (United States). National Nuclear Data Center
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Argonne National Lab. (ANL), Argonne, IL (United States). Physics Div.
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Idaho National Lab. (INL), Idaho Falls, ID (United States)
Univ. of Massachusetts, Lowell, MA (United States). Dept. of Physics and Applied Physics
Univ. of Rochester, Rochester, NY (United States). Dept. of Physics and Astronomy
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Nuclear Science Div.
Univ. of Maryland, College Park, MD (United States). Dept. of Chemistry and Biochemistry
Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Lab. and Dept. of Physics and Astronomy
Duke Univ., Durham, NC (United States). Triangle Univ. Nuclear Lab. and Dept. of Physics

Publication Date:: 2019-09-06

Research Org.:: Argonne National Lab. (ANL), Argonne, IL (United States); Univ. of North Carolina, Chapel Hill, NC (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Org.:: 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)

OSTI Identifier:: 1575067

Alternate Identifier(s):: OSTI ID: 1560733; OSTI ID: 1578251; OSTI ID: 1658906; OSTI ID: 1659324

Report Number(s):: LLNL-JRNL-778285
Journal ID: ISSN 0031-9007; PRLTAO; 153280; TRN: US2100165

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

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 123; Journal Issue: 10; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Collective models; Nuclear density functional theory; Nuclear many-body theory; Nuclear structure & decays; Nuclear tests of fundamental interactions; Shell model; Physics - Nuclear physics and radiation physics

Citation Formats


                    Ayangeakaa, A. D., Janssens, R. V. F., Zhu, S., Little, D., Henderson, J., Wu, C. Y., Hartley, D. J., Albers, M., Auranen, K., Bucher, B., Carpenter, M. P., Chowdhury, P., Cline, D., Crawford, H. L., Fallon, P., Forney, A. M., Gade, A., Hayes, A. B., Kondev, F. G., Krishichayan, ., Lauritsen, T., Li, J., Macchiavelli, A. O., Rhodes, D., Seweryniak, D., Stolze, S. M., Walters, W. B., and Wu, J. Evidence for Rigid Triaxial Deformation in Ge76 from a Model-Independent Analysis.  United States: N. p., 2019. 
Web.  doi:10.1103/physrevlett.123.102501.

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                    Ayangeakaa, A. D., Janssens, R. V. F., Zhu, S., Little, D., Henderson, J., Wu, C. Y., Hartley, D. J., Albers, M., Auranen, K., Bucher, B., Carpenter, M. P., Chowdhury, P., Cline, D., Crawford, H. L., Fallon, P., Forney, A. M., Gade, A., Hayes, A. B., Kondev, F. G., Krishichayan, ., Lauritsen, T., Li, J., Macchiavelli, A. O., Rhodes, D., Seweryniak, D., Stolze, S. M., Walters, W. B., & Wu, J. Evidence for Rigid Triaxial Deformation in Ge76 from a Model-Independent Analysis.  United States.  https://doi.org/10.1103/physrevlett.123.102501

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                    Ayangeakaa, A. D., Janssens, R. V. F., Zhu, S., Little, D., Henderson, J., Wu, C. Y., Hartley, D. J., Albers, M., Auranen, K., Bucher, B., Carpenter, M. P., Chowdhury, P., Cline, D., Crawford, H. L., Fallon, P., Forney, A. M., Gade, A., Hayes, A. B., Kondev, F. G., Krishichayan, ., Lauritsen, T., Li, J., Macchiavelli, A. O., Rhodes, D., Seweryniak, D., Stolze, S. M., Walters, W. B., and Wu, J. Fri .  
"Evidence for Rigid Triaxial Deformation in Ge76 from a Model-Independent Analysis".  United States.  https://doi.org/10.1103/physrevlett.123.102501.  https://www.osti.gov/servlets/purl/1575067.

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@article{osti_1575067,

  title        = {Evidence for Rigid Triaxial Deformation in Ge76 from a Model-Independent Analysis},

  author       = {Ayangeakaa, A. D. and Janssens, R. V. F. and Zhu, S. and Little, D. and Henderson, J. and Wu, C. Y. and Hartley, D. J. and Albers, M. and Auranen, K. and Bucher, B. and Carpenter, M. P. and Chowdhury, P. and Cline, D. and Crawford, H. L. and Fallon, P. and Forney, A. M. and Gade, A. and Hayes, A. B. and Kondev, F. G. and Krishichayan, . and Lauritsen, T. and Li, J. and Macchiavelli, A. O. and Rhodes, D. and Seweryniak, D. and Stolze, S. M. and Walters, W. B. and Wu, J.},

  abstractNote = {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 multi-step 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. 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.},

  doi          = {10.1103/physrevlett.123.102501},

  journal      = {Physical Review Letters},

  number       = 10,

  volume       = 123,

  place        = {United States},

  year         = {2019},

  month        = {9}

}

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

Abstract

Citation Formats

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 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 journal, May 2013

Experimental and theoretical investigations of quadrupole collective degrees of freedom in 104Ru journal, February 2006

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

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

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: ${}^{76}{Ge}$ and ${}^{76}{Se}$
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 ${}^{76}{Ge}$ and ${}^{76}{Se}$
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 ${}^{76}{Se}$
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 ${}^{70}{Ge}$ , ${}^{72}{Ge}$ , ${}^{74}{Ge}$ , and ${}^{76}{Ge}$
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 ${}^{76}{Ge}$ from inelastic neutron scattering measurements and shell model calculations
journal, January 2017

Novel $Δ J = 1$ Sequence in ${}^{78}{Ge}$ : 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
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 ${}^{150}{Nd}$ and ${}^{150}{Sm}$ and their impact on neutrinoless double- $β$ decay
journal, July 2016

Search for Neutrinoless Double- $β$ Decay in ${}^{76}{Ge}$ 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
journal, May 2013

Experimental and theoretical investigations of quadrupole collective degrees of freedom in 104Ru
journal, February 2006

Results on Neutrinoless Double- $β$ Decay of ${}^{76}{Ge}$ 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