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@ARTICLE{Dring:127616,
author = {Döring, M. and Meißner, U.-G.},
title = {{F}inite volume effects in pion-kaon scattering and
reconstruction of the kappa (800) resonance},
journal = {Journal of high energy physics},
volume = {1201},
number = {1},
address = {Berlin},
publisher = {Springer},
reportid = {FZJ-2012-00574},
pages = {-009},
year = {2012},
note = {31 pages, 14 figures},
abstract = {Simulating 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.},
keywords = {finite size: effect (INSPIRE) / perturbation theory: chiral
(INSPIRE) / higher-order: 1 (INSPIRE) / pi K: scattering
(INSPIRE) / kappa meson (INSPIRE) / quantum number (INSPIRE)
/ partial wave (INSPIRE) / low-energy constant (INSPIRE) /
pi K: phase shift (INSPIRE) / pi pi: phase shift (INSPIRE) /
K*(892) (INSPIRE) / rho(770) (INSPIRE) / numerical
calculations (INSPIRE)},
cin = {IAS-4 / IKP-TH / IKP-3},
ddc = {530},
cid = {I:(DE-Juel1)IAS-4-20090406 / I:(DE-Juel1)VDB223 /
I:(DE-Juel1)IKP-3-20111104},
pnm = {531 - Hadron Structure and Dynamics (HSD) (POF2-531)},
pid = {G:(DE-HGF)POF2-531},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000300181800009},
eprint = {1111.0616},
howpublished = {arXiv:1111.0616},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:1111.0616;\%\%$},
doi = {10.1007/JHEP01(2012)009},
url = {https://juser.fz-juelich.de/record/127616},
}