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Effective field theory for nuclear vibrations with quantified uncertainties

Journal Article · · Physical Review C, Nuclear Physics
 [1];  [2]
  1. Univ. of Tennessee, Knoxville, TN (United States)
  2. Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
We develop an effective field theory (EFT) for nuclear vibrations. The key ingredients—quadrupole degrees of freedom, rotational invariance, and a breakdown scale around the three-phonon level—are taken from data. The EFT is developed for spectra and electromagnetic moments and transitions. We employ tools from Bayesian statistics for the quantification of theoretical uncertainties. The EFT consistently describes spectra and electromagnetic transitions for 62Ni, 98,100Ru, 106,108Pd, 110,112,114Cd, and 118,120,122Te within the theoretical uncertainties. Furthermore, this suggests that these nuclei can be viewed as anharmonic vibrators.
Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC05-00OR22725; FG02-96ER40963
OSTI ID:
1460247
Alternate ID(s):
OSTI ID: 1229589
Journal Information:
Physical Review C, Nuclear Physics, Journal Name: Physical Review C, Nuclear Physics Journal Issue: 6 Vol. 92; ISSN 0556-2813; ISSN PRVCAN
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (78)

Nuclear Data Sheets Update for A = 118 journal May 1995
Nuclear Data Sheets for A = 112 journal November 1996
Nuclear Data Sheets for A = 108 journal October 2000
Nuclear Data Sheets fo A = 120 journal June 2002
Nuclear Data Sheets for A = 98 journal February 2003
Evidence for the coexistence of shapes in even-mass Cd nuclei journal December 1977
General collective model and its application to 92 238 U journal June 1980
An extensive survey of the estimation of uncertainties from missing higher orders in perturbative calculations journal February 2015
Meaningful characterisation of perturbative theoretical uncertainties journal September 2011
Coexistence in even-mass nuclei journal June 1992
A new treatment of the collective nuclear hamiltonian journal November 1969
Energy ratios in medium and heavy mass nuclei. Signatures of coexisting configurations journal March 1989
On the nature of “three-phonon” excitations in 112Cd journal October 1996
Phenomenological treatment of anharmonic effects in Cd isotopes journal September 1969
Collective potential energy surfaces and nuclear structure journal August 1971
Quadrupole collective properties of 114Cd journal August 1988
Multiphonon vibrational states in 106,108Pd journal February 1995
Search for nuclei exhibiting the U(5) dynamical symmetry journal October 1995
Effective field theory of nuclear forces journal January 1999
Effective field theory for halo nuclei: shallow -wave states journal December 2002
Table of nuclear magnetic dipole and electric quadrupole moments journal May 2005
Bayesian methods for parameter estimation in effective field theories journal March 2009
Construction of spherical harmonics and Clebsch–Gordan coefficients journal July 2009
Nuclear Data Sheets for A = 122 journal March 2007
Nuclear Data Sheets for A = 100 journal February 2008
Nuclear Data Sheets for A = 106 journal April 2008
Nuclear Data Sheets for A = 114 journal February 2012
Nuclear Data Sheets for A = 62 journal April 2012
Nuclear Data Sheets for A = 110 journal May 2012
αα scattering in halo effective field theory journal September 2008
Effective theory for deformed nuclei journal February 2011
Electric properties of the Beryllium-11 system in Halo EFT journal August 2011
Chiral effective field theory and nuclear forces journal June 2011
Ab initio no core shell model journal March 2013
The Interacting Boson Model book November 2011
Coupled-cluster computations of atomic nuclei journal September 2014
The general collective model applied to the chains of Pt, Os and W isotopes journal June 1981
Probing multiphonon excitations in nearly spherical nuclei with fast neutrons journal September 2005
Recent developments in no-core shell-model calculations journal May 2009
On the robustness of surface vibrational modes: case studies in the Cd region journal April 2010
Effective field theory of emergent symmetry breaking in deformed atomic nuclei journal September 2015
Enhancing the interaction between nuclear experiment and theory through information and statistics journal February 2015
A recipe for EFT uncertainty quantification in nuclear physics journal February 2015
On quadrupole vibrations in nearly spherical nuclei journal September 2012
Description of the low-lying levels in Cd 1 1 2 , 1 1 4 journal June 1982
Favored noncollective oblate states in light tellurium isotopes journal December 1995
High-spin states in Te 1 2 1 , 1 2 2 : Identification of favored noncollective oblate states journal April 1996
Observation of ( h 1 1 / 2 ) 2 neutron alignments in 100 Mo, 104 Ru, and 108 Pd using deep inelastic reactions journal May 1997
Recoil-distance lifetime measurements in 9 6 , 9 7 , 9 8 Ru : Search for possible onset of collectivity at N >~ 52 journal December 1999
Terminating bands in 9 8 , 9 9 , 1 0 0 Ru nuclei: New information on the neutron 2 d 5 / 2 and 1 g 7 / 2 energy spacing journal September 2000
Measurements of g factors and lifetimes of low lying states in 58 – 64 Ni and their shell model implications journal May 2001
Vibrational and intruder structures in 116 Cd journal September 2003
Structure of 120 Te from the 118 Sn ( α , 2 n γ ) reaction and 120 I decay journal September 2003
Breakdown of vibrational structure in Ru 98 journal October 2004
Intruder structures observed in Te 122 through inelastic neutron scattering journal March 2005
Revisiting anomalous B ( E 2 ; 4 1 + → 2 1 + ) / B ( E 2 ; 2 1 + → 0 1 + ) values in Ru 98 and Pt 180 journal August 2006
Properties of Cd 112 from the ( n , n ' γ ) reaction: Lifetimes and transition rates journal May 2007
Investigation of phonon excitations in Cd 114 with the ( n , n ' γ ) reaction journal November 2007
Determination of the 2 1 + → 0 1 + transition strengths in Ni 58 and Ni 60 journal June 2008
Breakdown of vibrational motion in the isotopes Cd 110 − 116 journal October 2008
Fragmentation of mixed-symmetry excitations in stable even-even tellurium nuclei journal November 2008
Collective and noncollective states in Cd 116 studied via the β decays of Ag 116 m 1 , m 2 , gs journal November 2009
Status of vibrational structure in Ni 62 journal March 2011
Simultaneous deorientation and lifetime measurement in 98 Ru using the recoil distance Doppler shift method in inverse Coulomb excitation journal January 2012
Collective and noncollective states in 120 Te journal January 2012
Detailed spectroscopy of 110 Cd: Evidence for weak mixing and the emergence of γ -soft behavior journal October 2012
Low-lying collective states in 120 Cd populated by β decay of 120 Ag: Breakdown of the anharmonic vibrator model at the three-phonon level journal December 2012
Effective field theory for proton halo nuclei journal January 2014
Effective field theory for finite systems with spontaneously broken symmetry journal January 2014
Effective theory for the nonrigid rotor in an electromagnetic field: Toward accurate and precise calculations of E 2 transitions in deformed nuclei journal July 2015
Quantifying truncation errors in effective field theory journal August 2015
Reorientation Effect in Cd 114 journal April 1965
Characterization of Three-Phonon States in C 110 d journal May 2000
Pairing in nuclear systems: from neutron stars to finite nuclei journal April 2003
Modern theory of nuclear forces journal December 2009
Quantum Theory of Angular Momentum book October 1988
Fundamentals of Nuclear Models book March 2010
E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS journal December 2002

Cited By (13)

Emergent properties of nuclei from ab initio coupled-cluster calculations journal May 2016
Challenges in nuclear structure theory journal March 2016
Bayesian parameter estimation for effective field theories journal May 2016
Spectroscopy and excited-state g factors in weakly collective Cd 111 : Confronting collective and microscopic models journal August 2019
Low-energy bound states, resonances, and scattering of light ions journal November 2019
Exploring experimental conditions to reduce uncertainties in the optical potential journal December 2019
Particle-rotor versus particle-vibration features in g factors of Cd 111 and Cd 113 journal March 2016
Effective field theory for vibrations in odd-mass nuclei journal November 2016
Bayesian truncation errors in chiral effective field theory: Nucleon-nucleon observables journal August 2017
Quadrupole phonons in the cadmium isotopes journal September 2018
Emergent properties of nuclei from ab initio coupled-cluster calculations text January 2016
Effective field theory for vibrations in odd-mass nuclei text January 2016
Low-energy bound states, resonances, and scattering of light ions text January 2019

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