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000127616 0247_ $$2doi$$a10.1007/JHEP01(2012)009
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000127616 0247_ $$2arXiv$$aarXiv:1111.0616$$chep-lat
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000127616 035__ $$9arXiv$$aarXiv:1111.0616$$chep-lat
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000127616 1001_ $$0P:(DE-Juel1)VDB73164$$aDöring, M.$$b0$$eCorresponding author
000127616 245__ $$aFinite volume effects in pion-kaon scattering and reconstruction of the kappa (800) resonance
000127616 260__ $$aBerlin$$bSpringer$$c2012
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000127616 500__ $$9arXiv$$a31 pages, 14 figures
000127616 520__ $$9arXiv$$aSimulating the kappa(800) on the lattice is a challenging task that starts to become feasible due to the rapid progress in recent-years lattice QCD calculations. As the resonance is broad, special attention to finite-volume effects has to be paid, because no sharp resonance signal as from avoided level crossing can be expected. In the present article, we investigate the finite volume effects in the framework of unitarized chiral perturbation theory using next-to-leading order terms. After a fit to meson-meson partial wave data, lattice levels for piK scattering are predicted. In addition, levels are shown for the quantum numbers in which the sigma(600), f_0(980), a_0(980), phi(1020), K*(892), and rho(770) appear, as well as the repulsive channels. Methods to extract the kappa(800) signal from the lattice spectrum are presented. Using pseudo-data, we estimate the precision that lattice data should have to allow for a clear-cut extraction of this resonance. To put the results into context, in particular the required high precision on the lattice data, the sigma(600), the P-wave resonances K*(892) and rho(770), and the repulsive piK, pipi phases are analyzed as well.
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000127616 650_7 $$2INSPIRE$$afinite size: effect
000127616 650_7 $$2INSPIRE$$aperturbation theory: chiral
000127616 650_7 $$2INSPIRE$$ahigher-order: 1
000127616 650_7 $$2INSPIRE$$api K: scattering
000127616 650_7 $$2INSPIRE$$akappa meson
000127616 650_7 $$2INSPIRE$$aquantum number
000127616 650_7 $$2INSPIRE$$apartial wave
000127616 650_7 $$2INSPIRE$$alow-energy constant
000127616 650_7 $$2INSPIRE$$api K: phase shift
000127616 650_7 $$2INSPIRE$$api pi: phase shift
000127616 650_7 $$2INSPIRE$$aK*(892)
000127616 650_7 $$2INSPIRE$$arho(770)
000127616 650_7 $$2INSPIRE$$anumerical calculations
000127616 7001_ $$0P:(DE-HGF)0$$aMeißner, U.-G.$$b1
000127616 773__ $$0PERI:(DE-600)2027350-2$$a10.1007/JHEP01(2012)009$$n1$$p-009$$tJournal of high energy physics$$v1201$$y2012
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