On the Connection Between the Charged and Neutral Pion-Nucleon Coupling Constants in the Yukawa Model

Abstract

In the Yukawa model for nuclear forces, a simple relation between the charged and neutral pion-nucleon coupling constants is derived. The relation implies that the charged pion-nucleon coupling constant is larger than the neutral one since the np interaction is stronger than the pp interaction. The derived value of the charged pion-nucleon constant shows a very good agreement with one of the recent experimental values. The relative splitting between the charged and neutral pion-nucleon coupling constants is predicted to be practically the same as that between the charged and neutral pion masses. The charge dependence of the NN scattering length arising from the mass difference between the charged and neutral pions is also analyzed.

arXiv comment19 pages. Slightly modified and typos corrected version of the article published in PEPAN Letters

References in corpus (10)

• Extended Partial-Wave Analysis of piN Scattering Data
• The nucleon-nucleon interaction
• On the pion-nucleon coupling constant
• Precision calculation of threshold pi^- d scattering, pi N scattering lengths, and the GMO sum rule
• Dispersion Relation Constrained Partial Wave Analysis of piN Elastic and piN\to\etaN Scattering Data: The Baryon Spectrum
• Nucleon-Nucleon Interaction: A Typical/Concise Review
• Extraction of the $\pi NN$ coupling constant from NN scattering data
• Charge Independence and Charge Symmetry
• The Status of the Pion-Nucleon Coupling Constant
• Charge-dependence of the $\pi NN$ coupling constant and charge-dependence of the NN interaction