Three-nucleon forces in the1/Ncexpansion

2013/07/24 by Daniel R. Phillips, Carlos Schat
Chemistry · Mathematics · Physics and Astronomy · #Algorithm #Artificial intelligence #Chemistry #Computer science #Mathematics #Nuclear physics research studies #Nucleon #Operator (biology) #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-ex #nucl-th

paper · pdf · doi:10.1103/physrevc.88.034002

35 pages, 1 figure

arxiv created 2013/07/24 · openalex publication_date 2013/09/18 · arxiv updated 2013/09/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The operator structures that can contribute to three-nucleon forces are classified in the 1/N_c expansion. At leading order in 1/N_c a spin-flavor-independent term is present, as are the spin-flavor structures associated with the Fujita-Miyazawa three-nucleon force. Modern phenomenological three-nucleon forces are thus consistent with this O(N_c) leading force, corrections to which are suppressed by a power series in 1/N_c². A complete basis of operators for the three-nucleon force, including all independent momentum structures, is given explicitly up to next-to-leading order in the 1/N_c expansion.

Citations

• LARGE-Nc BARYONS
• Low-momentum interaction in few-nucleon systems
• Structure ofA=10–13Nuclei with Two- Plus Three-Nucleon Interactions from Chiral Effective Field Theory
• Momentum and coordinate space three-nucleon potentials
• Lattice test of1/Ncbaryon mass relations
• Three-Body Forces and the Limit of Oxygen Isotopes
• A planar diagram theory for strong interactions
• Spin-flavor structure of largeNcbaryons
• Chiral symmetry and three-nucleon forces