Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-06-03
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages, 1 figure
Scientific paper
We show how to match the Isgur-Karl model to the spin-flavor quark operator expansion used in the 1/Nc studies of the non-strange negative parity L=1 excited baryons. Using the transformation properties of states and interactions under the permutation group S_3 we are able to express the operator coefficients as overlap integrals, without making any assumption on the spatial dependence of the quark wave functions. The general mass operator leads to parameter free mass relations and constraints on the mixing angles that are valid beyond the usual harmonic oscillator approximation. The Isgur-Karl model with harmonic oscillator wave functions provides a simple counterexample that demonstrates explicitly that the alternative operator basis for the 1/Nc expansion for excited baryons recently proposed by Matagne and Stancu is incomplete.
Galeta Leonardo
Pirjol Dan
Schat Carlos
No associations
LandOfFree
The Isgur-Karl model revisited 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 The Isgur-Karl model revisited, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Isgur-Karl model revisited will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-193975