Excited nucleon spectrum using a non-perturbatively improved clover fermion action

Abstract

We discuss the extraction of negative-parity baryon masses from lattice QCD calculations. The mass of the lowest-lying negative-parity $J=1/2^{-}$ state is computed in quenched lattice QCD using an $\mathcal{O}(a)$-improved clover fermion action, and a splitting found with the nucleon mass. The calculation is performed on two lattice volumes, and three lattice spacings enabling a study of both finite-volume and finite-lattice-spacing uncertainties. A measurement of the first excited radial excitation of the nucleon finds a mass considerably larger than that of the negative-parity ground state, in accord with other lattice determinations but in disagreement with experiment. Results are also presented for the lightest negative-parity $I=3/2$ state.

7 pages, 5 figures, uses espcrc2. Talk presented at Workshop on Lattice Hadron Physics, Colonial Club Resort, Cairns, Australia, July 9-18, 2001. Corrected error in determination of mass of excited, positive-parity nucleon resonance

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• Equilibrium Statistical-Thermal Models in High-Energy Physics
• Heavy ion collisions and lattice QCD at finite baryon density
• 1/Nc corrections to the SU(4)_c symmetry for L=1 baryons: The Three Towers
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• Roper State from Overlap Fermions
• Algebraic Approach to Bare Nucleon Matrix Elements
• From chemical freezeout to critical conditions in heavy ion collisions
• The critical behavior of hadronic matter: Comparison of lattice and bootstrap model calculations