vix.ing · top · new · best · stats

Nucleon-mass difference in chiral perturbation theory and nuclear forces

2004/06/09 by J. L. Friar, U. van Kolck, M. C. M. Rentmeester +1 · 41 citations
Earth and Planetary Sciences · Physics and Astronomy · #Chiral perturbation theory #Classical mechanics #Effective nuclear charge #Galilean #Galilean invariance #High-pressure geophysics and materials #Isospin #Neutron #Nuclear force #Nuclear physics #Nuclear physics research studies #Nucleon #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #nucl-th

paper · pdf · doi:10.1103/physrevc.70.044001

published in Physical Review C 70(4) (American Institute of Physics) · 20 pages, 2 figures, latex - submitted to Physical Review C

arxiv created 2004/06/09 · openalex publication_date 2004/10/04 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A method is developed for treating the effect of the neutron-proton mass difference in isospin-violating nuclear forces. Previous treatments utilized an awkward subtraction scheme to generate these forces. A field redefinition is used to remove that mass difference from the free Lagrangian (and hence from asymptotic nucleon states) and replace its effect by effective interactions. Previous calculations of static class II charge-independence-breaking and class III charge-symmetry-breaking potentials are verified using the new scheme, which is also used to calculate class IV nuclear forces. Two-body forces of the latter type are found to be identical to previously obtained results. A three-body force is also found. Problems involving Galilean invariance with class IV one-pion-exchange forces are identified and resolved.

Citations

Cited by