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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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6 pages, 2 figures. Invited talk given at the XI Hadron Physics Conference, March 21-26, 2010, Sao Paulo, Brazil

Scientific paper

10.1063/1.3523161

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.

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