Low-energy sum rules and large-$N_c$ consistency conditions

Details Low-energy sum rules and large-$N_c$ consistency conditions Low-energy sum rules and large-$N_c$ consistency conditions

1994-02-02

arxiv.org/abs/hep-ph/9402206v1

Nucl.Phys. A580 (1994) 429-444

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 p. (REVTEX, Feynman.tex for figures)

Scientific paper

10.1016/0375-9474(94)90907-5

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 $1/N_c^2$ 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.

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