We investigate the finite size effect on masses of excited baryons in quenched lattice QCD simulation. For this purpose, we perform numerical simulations at three different lattice sizes, La ≈ 1.6, 2.2 and 3.2 fm. The gauge configurations are generated with the single plaquette gauge action at β 6/g2 62, and the quark propagator are computed with the Wilson fermion action. To access to two parity states of the nucleon and four different spin-parity states of the D baryon, the appropriate spin/parity projection are carried out. We find that the spatial lattice size is required to be as large as 3 fm to remove the finite size effect on excited baryons even in the heavy quark region (Mπ/Mρ ≈ 0.82 0.87), where that on the nucleon is negligible. On our largest lattice (La 32 fm), all mass spectra of the JP 1/2± nucleons and the JP 1/2±, 3/2± D baryons are roughly consistent with experimental values after naive chiral extrapolation.
|Journal||Proceedings of Science|
|Publication status||Published - 2005|
|Event||23rd International Symposium on Lattice Field Theory, LAT 2005 - Dublin, Ireland|
Duration: 2005 Jul 25 → 2005 Jul 30
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