Three pion nucleon coupling constants

Abstract

There exist four pion nucleon coupling constants, $f_{{\pi }^0,pp}$, $-f_{{\pi }^0,nn}$, $f_{{\pi }^{+},pn}/\sqrt{2}$ and $f_{{\pi }^{-},np}/\sqrt{2}$ which coincide when up and down quark masses are identical and the electron charge is zero. While there is no reason why the pion-nucleon-nucleon coupling constants should be identical in the real world, one expects that the small differences might be pinned down from a sufficiently large number of independent and mutually consistent data. Our discussion provides a rationale for our recent determination $$f_p^2=0.0759(4),f_0^2=0.079(1),f_c^2=0.0763(6),$$ based on a partial wave analysis of the $3\sigma$ self-consistent nucleon-nucleon Granada-2013 database comprising 6713 published data in the period 1950-2013.

15 pages, 6 figures. Invited talk at the Workshop on Determination of the Fundamental Parameters in QCD, Mainz Institute of Theoretical Physics, Johannes Gutenberg University of Mainz. Corrected Version matching publication in Mod. Phys. Lett. A

References in corpus (13)

• Extended Partial-Wave Analysis of piN Scattering Data
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• Charge Symmetry Breaking and QCD
• Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
• Renormalization of chiral two-pion exchange NN interactions. Momentum vs. coordinate space
• Precise Determination of Charge Dependent Pion-Nucleon-Nucleon Coupling Constants
• Error analysis of nuclear forces and effective interactions
• Triton binding energy with realistic precision
• Pseudoscalar-meson--octet-baryon coupling constants in two-flavor lattice QCD
• Binding in light nuclei: Statistical NN uncertainties vs Computational accuracy
• Error estimates on Nuclear Binding Energies from Nucleon-Nucleon uncertainties
• Renormalization and Universality of NN interactions in Chiral Quark and Soliton Models

Cited by in corpus (6)

• Precise Determination of Charge Dependent Pion-Nucleon-Nucleon Coupling Constants
• A brief history of the pion-nucleon coupling constant
• Low energy peripheral scaling in Nucleon-Nucleon Scattering and uncertainty quantification
• The falsification of Chiral Nuclear Forces
• Pseudoscalar meson dominance and nucleon structure
• Symmetry breaking effects in pion couplings to constituent quark currents