The volume dependence of spectral weights and the pentaquark state

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dc.creatorAlexandrou, Constantia
dc.creatorTsapalis, Antonios
dc.date2005-09-26
dc.date.accessioned2026-07-07T06:23:42Z
dc.date.available2026-07-07T06:23:42Z
dc.descriptionBefore studying the pentaquark system we examine the spectral weights of the two lowest scattering states in the two-pion system in the isospin I=2 channel on lattices of size $16^3\times 32$, $24^3 \times 32$ and $32^3 \times 64$ at $β=6.0$ in the quenched theory. We find that the spectral weights scale with the volume for large time separations. Therefore very accurate data are necessary in order that the spectral weights determined on different volumes yield a ratio that is precise enough to distinguish a scattering state from a single particle state. The pentaquark system is studied on the same lattices and scaling of the spectral weights of the low lying state is investigated. The accuracy of the results obtained for the scaling of spectral weights do not allow us to exclude a pentaquark resonance.
dc.description6 pages, 7 Figures, presented at Lattice 2005 (Hadron sprectrum), uses PoS.cls
dc.identifierhttps://arxiv.org/abs/hep-lat/0509139
dc.identifierhttp://arxiv.org/abs/hep-lat/0509139
dc.identifierPoS LAT2005 (2005) 023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96324
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Experiment
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe volume dependence of spectral weights and the pentaquark state
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