QCD Sum Rules: Isospin Symmetry Breakings in Pion-Nucleon Couplings

Abstract

We use the method of QCD sum rules in the presence of an external pion field to investigate isospin symmetry breakings in pion-nucleon couplings. Possible manifestations of such isospin symmetry breaking are examined in the context of low-energy nucleon-nucleon ($NN$) scattering. We discuss numerical results in relation to both the existing data and other theoretical predictions.

14 pages, 4 figures (upon request), LateX

References in corpus (6)

• The Weak Parity-Violating Pion-Nucleon Coupling (Revised)
• The Pion-Nucleon Coupling Constant in QCD Sum Rules
• Determination of the pion-nucleon coupling constant from QCD sum rules
• Isospin Breaking in the Pion-Nucleon Coupling from QCD Sum Rules
• Isospin-Violating Meson-Nucleon Vertices as an Alternate Mechanism of Charge-Symmetry Breaking
• QCD Sum Rules and Chiral Symmetry Breaking

Cited by in corpus (7)

• The nucleon-nucleon interaction
• Isospin Breaking in Neutron $\beta$-decay and SU(3) Violation in Semi-leptonic Hyperon Decays
• The $\eta NN$ coupling constant
• The nucleon-sigma coupling constant in QCD Sum Rules
• Scalar-Meson - Baryon Coupling Constants in QCD Sum Rules
• The $\pi NN$ and $\pi NN(1535)$ couplings in QCD
• Parity-Violating Nuclear Force as derived from QCD Sum Rules