Magnetic Moments of Negative Parity Baryons from Effective Hamiltonian Approach to QCD

Magnetic moments of \(S_{11}(1535)\) and \(S_{11}(1650)\) baryons are studied in the framework of the relativistic three-quark Hamiltonian derived in the Field Correlation Method. The baryon magnetic moments are expressed via the average current quark energies which are defined by the fundamental QCD parameters: the string tension \(\sigma\), the quark masses, and the strong coupling constant \(\alpha_s\). For the \(J^P=1/2^+\) baryon octet the approach was shown to give a good first approximation to the experimental moments. Resulting magnetic moments for the \(J^P=1/2^-\) nucleons are compared both to model calculations and to those from lattice QCD.