Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-11-30
Prog.Theor.Phys. 93 (1995) 771-780
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages, Latex, 1 figure
Scientific paper
10.1143/PTP.93.771
We calculate the $F/D$ ratios of spin 1/2 baryon vertex for both the non-relativistic quark model and the chiral soliton model with arbitrary number of color degrees of freedom $N_c$ and examine the results in terms of the consistency condition approach for the baryon vertices recently developed by Dashen, Jenkins and Manohar from the viewpoint of QCD. We show that the $1/N_c$ corrections have two different origins, i.e. one is from the baryon states or baryon wave functions and the other from the vertex operators. Although in the limit of $N_c \to \infty$ the $F/D$ tends to 1/3 in all models, the $1/N_c$ expansion of $F/D$ ratio does not converge for $N_c=3$ in the chiral soliton model in contrast to the non-relativistic quark model.
Kitakado Shinsaku
Sawada Shoji
Takamura Akira
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