Large $N_c$ Expansion and the Parity Violating $\pi ,N,\Delta$ Couplings

Abstract

In the limit of large $N_c$ we first consider the $N_c$ ordering of the various parity violating $\pi ,N,\Delta$ couplings. Then we derive the relations among these couplings and consistency relations from the stability of these couplings under the chiral loop corrections with and without the mass splitting between $N$ and $\Delta$. Especially we find that $h_{\Delta }=-\frac{3}{\sqrt{5}}{h}_{\pi }$ in the large $N_c$ limit, which correctly reproduces the relative sign and magnitude of the "DDH" values for these PV couplings.

References in corpus (18)

• The 1/N Expansion for Baryons
• Baryon-Pion Couplings from Large-N QCD
• Spin-Flavor Structure of Large N Baryons
• 1/N Corrections to the Baryon Axial Currents in QCD
• Nuclear Parity-Violation in Effective Field Theory
• On Spin Independence in Large $N_c$ Baryons
• The Nucleon Anapole Moment and Parity-Violating ep Scattering
• $1/N_c$ Expansion for Excited Baryons
• Excited Baryons Phenomenology from Large-$N_c$ QCD
• New Relations for Excited Baryons in Large N_c QCD
• The parity-violating pion-nucleon coupling constant from a realistic three flavor Skyrme model
• Excited Baryons in Large N_c QCD Revisited: The Resonance Picture Versus Single-Quark Excitations
• On the structure of large N cancellations in baryon chiral perturbation theory
• Compatibility of Quark and Resonant Picture Excited Baryon Multiplets in 1/N_c
• Chiral Symmetry and the Parity-Violating $NN\pi$ Yukawa Coupling
• Baryon-Pion Scattering in the 1/N_c Expansion: Tree Diagram Cancellations
• Excited Baryons in Large $N_c$ QCD
• The Δcontribution to the parity-violating nucleon-nucleon force

Cited by in corpus (8)

• Hadronic Parity Violation
• The Theory of Parity Violation in Few-Nucleon Systems
• The parity-violating nucleon-nucleon force in the 1/N_c expansion
• Baryon Tri-local Interpolating Fields
• Towards a unified treatment of $\Delta S=0$ parity violation in low-energy nuclear processes
• QCD Analysis of $\Delta S=0$ Hadronic Parity Violation
• Fundamental Neutron Physics: a White Paper on Progress and Prospects in the US
• $\Delta S=0$ Hadronic Parity Violation in Next-to-Leading Order QCD: Anomalous Dimension Matrices and Their Implications