Charge-symmetry-breaking three-nucleon forces

2004/08/11 by J. L. Friar, G. L. Payne, U. van Kolck · 38 citations
Physics and Astronomy · #Baryon #Binding energy #Charge (physics) #Chiral perturbation theory #Chiral symmetry breaking #Isospin #Mathematical physics #Nuclear force #Nuclear physics research studies #Nucleon #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Symmetry (geometry) #Symmetry breaking #nucl-th

paper · pdf · doi:10.1103/physrevc.71.024003

published in Physical Review C 71(2) (American Institute of Physics) · 14 pages, 3 figures

arxiv created 2004/08/11 · openalex publication_date 2005/02/08 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Leading-order three-nucleon forces that violate isospin symmetry are calculated in heavy-baryon chiral perturbation theory. The effect of the charge-symmetry-breaking three-nucleon force is investigated in the trinucleon systems using Faddeev calculations. We find that the contribution of this force to the ³He\ensuremath-³H binding-energy difference is given by \ensuremathΔE_3NF^CSB\ensuremath≈5 keV.

Citations

• Observation of the Charge Symmetry Breakingd+d→He<mml:mprescripts/><mml:none/>4+π0Reaction Near Threshold
• Three-body interactions among nucleons and pions
• Charge-dependent nucleon–nucleon potential from chiral effective field theory
• Charge symmetry breaking of the nucleon-nucleon interaction: ρ-ω mixing versus nucleon mass splitting
• Nucleon-mass difference in chiral perturbation theory and nuclear forces
• Chiral symmetry and three-nucleon forces
• Phenomenological Lagrangians

Cited by

• Isospin dependence of the three-nucleon force
• Constraining the neutron-neutron scattering length using the effective field theory without explicit pions
• Isospin-breaking two-nucleon force with explicit Δ excitations