Effective field theory for nuclear vibrations with quantified uncertainties

2015/10/08 by E. A. Coello Pérez, T. Papenbrock · 50 citations
Engineering · Mathematics · Physics and Astronomy · #Aerospace engineering #Anharmonicity #Bayesian probability #Effective field theory #Engineering #Field (mathematics) #Mathematics #Nuclear Physics and Applications #Nuclear physics #Nuclear physics research studies #Nuclear reactor physics and engineering #Physics #Quantum electrodynamics #Quantum mechanics #Range (aeronautics) #Statistical physics #Statistics #Theoretical physics #Vibration #nucl-ex #nucl-th

paper · pdf · doi:10.1103/physrevc.92.064309

published in Physical Review C 92(6) (American Institute of Physics) · 20 pages

arxiv created 2015/10/08 · openalex publication_date 2015/12/14 · arxiv updated 2015/12/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The authors develop an effective field theory for low-energy nuclear vibrations and use Bayesian statistics to estimate uncertainties for the model energies and transition rates. From the consistent description of a range of Ni, Ru, Pd, Cd, and Te isotopes within the theoretical uncertainties, they conclude that these nuclei can be described as anharmonic vibrators, consistent with older ``textbook'' interpretations but in contrast to some more recent interpretations.

Citations

• Quantifying truncation errors in effective field theory
• Electric properties of the Beryllium-11 system in Halo EFT
• Coupled-cluster computations of atomic nuclei
• Meaningful characterisation of perturbative theoretical uncertainties
• Table of nuclear magnetic dipole and electric quadrupole moments
• Modern theory of nuclear forces
• Chiral effective field theory and nuclear forces
• Ab initio no core shell model
• Quantum Theory of Angular Momentum