Testing for three-body quark forces in L=1 excited baryons

TL;DR

This paper develops a method to match quark models with the 1/Nc expansion for excited baryons, deriving correlations among masses and mixing angles to test for three-body quark forces.

Contribution

It introduces a general matching procedure using permutation group symmetry and applies it to the Isgur-Karl model to identify testable correlations.

Findings

Derived mass and mixing angle correlations for L=1 baryons

Provided a framework to test for three-body quark forces

Applied the method to the Isgur-Karl model

Abstract

We discuss the matching of the quark model to the effective mass operator of the 1/Nc expansion using the permutation group S_N. As an illustration of the general procedure we perform the matching of the Isgur-Karl model for the spectrum of the negative parity L=1 excited baryons. Assuming the most general two-body quark Hamiltonian, we derive two correlations among the masses and mixing angles of these states which should hold in any quark model. These correlations constrain the mixing angles and can be used to test for the presence of three-body quark forces.