Finite Size Effect in Excited Baryon Spectroscopy

dc.creatorSasaki, Kiyoshi
dc.creatorSasaki, Shoichi
dc.date2005-08-29
dc.date.accessioned2026-07-07T06:23:32Z
dc.date.available2026-07-07T06:23:32Z
dc.descriptionWe 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\simeq 1.6, 2.2 and 3.2 fm. The gauge configurations are generated with the single plaquette gauge action at β=6/g^2=6.2, 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 Δbaryon, 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 (M_π/M_ρ\simeq 0.82, 0.87), where that on the nucleon is negligible. On our largest lattice (La\simeq 3.2 fm), all mass spectra of the J^P=1/2^\pm nucleons and the J^P=1/2^\pm, 3/2^\pm Δbaryons are roughly consistent with experimental values after naive chiral extrapolation.
dc.description6 pages, 4 figures included, talk presented at Lattice 2005 (Hadron spectrum and quark masses)
dc.identifierhttps://arxiv.org/abs/hep-lat/0508026
dc.identifierhttp://arxiv.org/abs/hep-lat/0508026
dc.identifierPoS LAT2005 (2005) 060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96265
dc.subjectHigh Energy Physics - Lattice
dc.titleFinite Size Effect in Excited Baryon Spectroscopy
dc.typetext

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