Low-energy sum rules and large-Nc consistency conditions

1994/02/02 by Wojciech Broniówski, W. Broniowski · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/0375-9474(94)90907-5

published as Nucl.Phys. A580 (1994) 429-444 · 25 p. (REVTEX, Feynman.tex for figures)

arxiv created 1994/02/02 · openalex publication_date 1994/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The large-N_c consistency conditions for axial vector and isovector magnetic couplings of pions to baryons are discussed from the point of view of low-energy current-algebra sum rules (Adler-Weisberger, Cabibbo-Radicati). In particular, we show how the result that ratios of axial vector and isovector magnetic coupling constants get corrections only at the order 1/N_c² follows from the N_c-counting of appropriate cross sections. This counting is performed using various approaches at the quark and hadronic level. Other implications of our method are also presented.

Citations

• Hyperfine mass splittings of baryons containing a heavy quark in large N QCD
• Light quark spin-flavor symmetry for baryons containing a heavy quark in large N QCD

Cited by

• LARGE-Nc BARYONS