Baryon masses with dynamical twisted mass fermions

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dc.creatorETM Collaboration
dc.creatorAlexandrou, Constantia
dc.creatorKorzec, Tomasz
dc.creatorKoutsou, Giannis
dc.creatorBaron, Remi
dc.creatorGuichon, Pierre
dc.creatorBrinet, Mariane
dc.creatorCarbonell, Jaume
dc.creatorDrach, Vincent
dc.creatorLiu, Zhaofeng
dc.creatorPène, Olivier
dc.creatorUrbach, Carsten
dc.date2007-10-05
dc.date.accessioned2026-07-07T13:02:50Z
dc.date.available2026-07-07T13:02:50Z
dc.descriptionWe present results on the mass of the nucleon and the $Δ$ using two dynamical degenerate twisted mass quarks. The evaluation is performed at four quark masses corresponding to a pion mass in the range of 690-300 MeV on lattices of size 2.1 fm and 2.7 fm. We check for cutoff effects by evaluating these baryon masses on lattices of spatial size 2.1 fm with lattice spacings $a(β=3.9)=0.0855(6)$ fm and $a(β=4.05)=0.0666(6)$ fm, determined from the pion sector and find them to be within our statistical errors. Lattice results are extrapolated to the physical limit using continuum chiral perturbation theory. The nucleon mass at the physical point provides a determination of the lattice spacing. Using heavy baryon chiral perturbation theory at ${\cal O}(p^3)$ we find $a(β=3.9)=0.0879(12)$ fm, with a systematic error due to the chiral extrapolation estimated to be about the same as the statistical error. This value of the lattice spacing is in good agreement with the value determined from the pion sector. We check for isospin breaking in the $Δ$-system. We find that $Δ^{++,-}$ and $Δ^{+,0}$ are almost degenerate pointing to small flavor violating effects.
dc.description7 pages, 9 figures. Talk presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany
dc.identifierhttps://arxiv.org/abs/0710.1173
dc.identifierhttp://arxiv.org/abs/0710.1173
dc.identifierPoSLAT2007:087,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226582
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleBaryon masses with dynamical twisted mass fermions
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