Accuracy of Auxiliary Field Approach for Baryons

Abstract

We provide a check of the accuracy of the auxiliary field formalism used to derive the Effective Hamiltonian for baryons in the Field Correlator Method. To this end we compare the solutions for the Effective Hamiltonian with those obtained from the solution of the Salpeter equation. Comparing these results gives a first estimate of the systematic uncertainty due to the use of the auxiliary field formalism for baryons.

6 pages, 2 tables; published version

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• Theory of hadron decay into baryon-antibaryon final state
• The auxiliary field method in quantum mechanics
• Eigenstates with the auxiliary field method
• Magnetic Moments of Negative Parity Baryons from Effective Hamiltonian Approach to QCD
• Charm and bottom baryon masses in the combined $1/N_c$ and $1/m_Q$ expansion versus quark model
• Baryons in the Field Correlator Method: Effects of the Running Strong Coupling
• String Correction for Baryon Orbital Excitations
• Proton and neutron form factors with quark orbital excitations