Constituent Quark Couplings and QCD in the Large $N_c$ Limit

Details Constituent Quark Couplings and QCD in the Large $N_c$ Limit Constituent Quark Couplings and QCD in the Large $N_c$ Limit

1993-04-16

arxiv.org/abs/hep-ph/9304262v1

Phys.Lett.B309:389-393,1993

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 4 figs. not included available upon request to PERIS @ IFAE.ES, plain TeX, preprint No. UAB-FT-310 and CPT-93/P.2883

Scientific paper

10.1016/0370-2693(93)90950-M

It is shown that in the constituent quark model of Georgi-Manohar, the dispersion relation that leads to the Adler-Weisberger sum rule for the axial vector coupling $g_A$ requires a subtraction constant. This fact explains the discrepancy between the results of different recent estimates of the $1/N_c$ corrections to Weinberg's large $N_c$ result $g_A=1$, where $N_c$ is the number of QCD colors. We also discuss a possible scenario which shows that $g_A=1$ might not be a necessary consequence of QCD in the large $N_c$ limit.

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