Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Effective field theory for vibrations in odd-mass nuclei

Journal Article · · Physical Review C
 [1];  [2]
  1. Technische Univ. Darmstadt, Darmstadt (Germany); Helmholtzzentrum fur Schwerionenforschung GmbH, Darmstadt (Germany); 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)
Heavy even-even nuclei exhibit low-energy collective excitations that are separated in scale from the microscopic (fermion) degrees of freedom. This separation of scale allows us to approach nuclear vibrations within an effective field theory (EFT). In odd-mass nuclei collective and single-particle properties compete at low energies, and this makes their description more challenging. In this article we describe spherical odd-mass nuclei with ground-state spin I = 1/2 by means of an EFT that couples a fermion to the collective degrees of freedom of an even-even core. The EFT relates observables such as energy levels, electric quadrupole transition strengths, and magnetic dipole moments of the odd-mass nucleus to those of its even-even neighbor and allows us to quantify theoretical uncertainties. For isotopes of rhodium and silver the theoretical description is consistent with data within experimental and theoretical uncertainties. Here, several testable predictions are made.
Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC05-00OR22725; FG02-96ER40963
OSTI ID:
1460245
Alternate ID(s):
OSTI ID: 1332593
Journal Information:
Physical Review C, Journal Name: Physical Review C Journal Issue: 5 Vol. 94; ISSN PRVCAN; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (93)

Nuclear Data Sheets for A = 111 journal February 1996
Nuclear Data Sheets for A = 112 journal November 1996
Nuclear Data Sheets for A = 100 journal May 1997
Nuclear Data Sheets for A = 108 journal August 1997
Nuclea Data Sheets for A = 101 journal January 1998
Nuclear Data Sheets for A = 113 journal March 1998
Nuclear Data Sheets for A = 109 journal March 1999
Nuclear Data Sheets for A = 107 journal February 2000
Nuclear Data Sheets for A = 110 journal March 2000
Nuclear Data Sheets for A = 108 journal October 2000
Nuclear Data Sheets for A = 98 journal February 2003
Nuclear Data Sheets for A = 111 journal October 2003
Interacting Boson-Fermion Model description of Ru and Rh isotopes journal September 1991
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
New evidence for core excitation in Au197 journal July 1962
Spinor symmetry and supersymmetry in the Ru, Rh, Pd and Ag isotopes journal January 1982
Experimental evidences for a finite number of bosons in nuclei at low spin journal December 1983
Deviations from the center-of-gravity theorem, the monopole Boson-Fermion interaction and the nuclear supersymmetry journal December 1984
The U(5) → O(6) transition in the supersymmetry scheme and its application to the odd-A Rh isotopes journal December 1984
Supersymmetry in transitional nuclei and its application to the Ru and Rh isotopes journal November 1987
Multilevel description of the Rh isotopes in the interacting boson-fermion model journal May 1985
Quadrupole collective properties of 114Cd journal August 1988
Measurements of reduced E2 transition probabilities in the nuclei 102Ru, 103Rh, 106,108Pd and 107,109Ag journal June 1989
Gyromagnetic ratios of excited states in 103Rh journal June 1989
Multiphonon vibrational states in 106,108Pd journal February 1995
Effective field theory of nuclear forces journal January 1999
Effective field theory for halo nuclei: shallow -wave states journal December 2002
Nuclear Data Sheets for A = 113 journal April 2005
Nuclear Data Sheets for A = 105 journal August 2005
Nuclear Data Sheets for A = 109 journal February 2006
Nuclear Data Sheets for A = 104 journal October 2007
Nuclear Data Sheets for A = 100 journal February 2008
Nuclear Data Sheets for A = 106 journal April 2008
Nuclear Data Sheets for A = 107 journal June 2008
Nuclear Data Sheets for A = 111 journal June 2009
Nuclear Data Sheets for A = 102 journal August 2009
Nuclear Data Sheets for A = 103 journal September 2009
Nuclear Data Sheets for A = 113 journal June 2010
Nuclear Data Sheets for A = 99 journal February 2011
Nuclear Data Sheets for A = 110 journal May 2012
Nuclear Data Sheets for A = 112 journal February 2015
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
Emergence of rotational bands in ab initio no-core configuration interaction calculations of light nuclei journal February 2013
Chiral effective field theory and nuclear forces journal June 2011
Nuclear Data Sheets for A = 103 journal November 1974
Nuclear Data Sheets for A = 109 journal February 1984
Exotic modes of excitation in atomic nuclei far from stability journal April 2007
Effective field theory of emergent symmetry breaking in deformed atomic nuclei journal September 2015
A recipe for EFT uncertainty quantification in nuclear physics journal February 2015
Core Excitations in Nondeformed, Odd- A , Nuclei journal June 1961
Nuclear Magnetic Moments of Cl 36 , Rh 103 , and W 183 journal June 1955
Measured g factors and the tidal-wave description of transitional nuclei near A = 100 journal May 2011
Rotational constants of multi-phonon bands in an effective theory for deformed nuclei journal March 2013
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
Effective field theory for nuclear vibrations with quantified uncertainties journal December 2015
Particle-rotor versus particle-vibration features in g factors of Cd 111 and Cd 113 journal March 2016
Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians journal May 2016
Open s d -shell nuclei from first principles journal July 2016
Collective Modes in Light Nuclei from First Principles journal December 2013
Collective Nuclear States as Representations of a SU(6) Group journal October 1975
New Symmetry in the sd Boson Model of Nuclei: The Group O(6) journal February 1978
Interacting Boson-Fermion Model of Collective States in Odd- A Nuclei journal September 1979
Dynamical Supersymmetries in Nuclei journal March 1980
Modern theory of nuclear forces journal December 2009
Colloquium : Three-body forces: From cold atoms to nuclei journal January 2013
In-band and inter-band B(E2) values within the Triaxial Projected Shell Model journal December 2002
Leading E1 and M1 contributions to radiative neutron capture on lithium-7 journal February 2012
Quantum Theory of Angular Momentum book October 1988
Fundamentals of Nuclear Models book March 2010
Dynamical Supersymmetries in Nuclei book December 1988
Collective rotation from ab initio theory journal September 2015
Anharmonicities of the Double Gamma-Vibrational States in 168Er journal September 1984
Anharmonicities of the Double Gamma-Vibrational States in 168Er journal November 1984
E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS journal December 2002
Modern Theory of Nuclear Forces text January 2008
Effective theory for deformed nuclei text January 2010
Chiral effective field theory and nuclear forces text January 2011
Meaningful characterisation of perturbative theoretical uncertainties text January 2011
Effective Field Theory for Finite Systems with Spontaneously Broken Symmetry text January 2013
An extensive survey of the estimation of uncertainties from missing higher orders in perturbative calculations text January 2014
Effective Field Theory of Emergent Symmetry Breaking in Deformed Atomic Nuclei text January 2015
Collective rotation from ab initio theory text January 2015
Open $sd$-shell nuclei from first principles text January 2015
Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians text January 2015
Exotic modes of excitation in atomic nuclei far from stability text January 2007
Effective Field Theory of Nuclear Forces text January 1999

Cited By (2)

Spectroscopy and excited-state g factors in weakly collective Cd 111 : Confronting collective and microscopic models journal August 2019
Early Signal of Emerging Nuclear Collectivity in Neutron-Rich Sb 129 journal January 2020

Similar Records

Effective field theory for nuclear vibrations with quantified uncertainties
Journal Article · Sun Dec 13 19:00:00 EST 2015 · Physical Review C, Nuclear Physics · OSTI ID:1460247

Simultaneous Description of Even-Even, Odd-Mass and Odd-Odd Nuclear Spectra
Journal Article · Wed Jan 20 23:00:00 EST 2010 · AIP Conference Proceedings · OSTI ID:21371450

Effective field theory for deformed odd-mass nuclei
Journal Article · Sun Oct 25 20:00:00 EDT 2020 · Physical Review. C · OSTI ID:1686121