On Spin Independence in Large $N_c$ Baryons

Details On Spin Independence in Large $N_c$ Baryons On Spin Independence in Large $N_c$ Baryons

1993-10-28

arxiv.org/abs/hep-ph/9310365v1

Phys.Lett.B322:227-232,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, \#HUTP-93/A032

Scientific paper

10.1016/0370-2693(94)91112-6

We argue directly from Witten's analysis of large $N_c$ baryons that the structure of the $s$-wave low-spin baryon states in QCD becomes spin-independent as $N_c\rightarrow\infty$. This property leads to $SU(6)$-like behavior of static matrix elements, such as the axial-vector current matrix elements recently studied by Dashen, Manohar and Jenkins. Our analysis suggests a method for applying large $N_c$ results for $N_c=3$, even though the baryon states for large $N_c$ are very different.

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