Abstract
The energies of the excited states of the Nucleon, ∆ and Ω are computed in lattice QCD, using two light quarks and one strange quark on anisotropic lattices. The calculations are performed at three values of the pion mass: mπ = 392(4), 438(3) and 521(3) MeV. We employ the variational method with a basis of about ten interpolating operators enabling six energies to be distinguished clearly in each irreducible representation of the octahedral group. We compare our calculations of nucleon excited states with the low-lying experimental spectrum. There is reasonable agreement for the pattern of states.
Original language | English |
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Journal | Proceedings of Science |
Volume | 105 |
State | Published - 2010 |
Externally published | Yes |
Event | 28th International Symposium on Lattice Field Theory, Lattice 2010 - Villasimius, Sardinia, Italy Duration: Jun 14 2010 → Jun 19 2010 |
Funding
This work was done using the Chroma software suite [9] on clusters at Jefferson Laboratory and the Fermi National Accelerator Laboratory using time awarded under the USQCD Initiative. JB and CM acknowledge support from U.S. National Science Foundation Award PHY-0653315. EE and SW acknowledge support from U.S. Department of Energy contract DE-FG02-93ER-40762. HL acknowledges support from U.S. Department of Energy contract DE-FG03-97ER4014. BJ, RE and DR acknowledge support from U.S. Department of Energy contract DE-AC05-060R23177, under which Jefferson Science Associates, LLC, manages and operates Jefferson Laboratory. BJ and RE acknowledge support under U.S. Dept. of Energy SciDAC contracts DE-FC02-06ER41440 and DE-FC02-06ER41449. The U.S. Government retains a non-exclusive, paid-up, irrevocable, world-wide license to publish or reproduce this manuscript for U.S. Government purposes.