Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-07-17
Phys.Lett. B641 (2006) 401-404
Physics
High Energy Physics
High Energy Physics - Theory
4 pages
Scientific paper
10.1016/j.physletb.2006.08.027
The nucleon's strange quark content comes from closed quark loops, and hence should vanish at leading order in the traditional large $N_c$ (TLNC) limit. Quark loops are not suppressed in the recently proposed orientifold large $N_c$ (OLNC) limit, and thus the strange quark content should be non-vanishing at leading order. The Skyrme model is supposed to encode the large $N_c$ behavior of baryons, and can be formulated for both of these large $N_c$ limits. There is an apparent paradox associated with the large $N_c$ behavior of strange quark matrix elements in the Skyrme model. The model only distinguishes between the two large $N_c$ limits via the $N_c$ scaling of the couplings and the Witten-Wess-Zumino term, so that a vanishing leading order strange matrix element in the TLNC limit implies that it also vanishes at leading order in the OLNC limit, contrary to the expectations based on the suppression/non-suppression of quark loops. The resolution of this paradox is that the Skyrme model does not include the most general type of meson-meson interaction and, in fact, contains no meson-meson interactions which vanish for the TLNC limit but not the OLNC. The inclusion of such terms in the model yields the expected scaling for strange quark matrix elements.
Cherman Aleksey
Cohen Thomas D. .
No associations
LandOfFree
A tale of two skyrmions: the nucleon's strange quark content in different large N_c limits does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A tale of two skyrmions: the nucleon's strange quark content in different large N_c limits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A tale of two skyrmions: the nucleon's strange quark content in different large N_c limits will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-506506