S wave Kπscattering and effects of κin J/ψ\to {\bar K}^{*0}(892)K^+π^-

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dc.creatorGuo, Feng-Kun
dc.creatorPing, Rong-Gang
dc.creatorShen, Peng-Nian
dc.creatorChiang, Huan-Ching
dc.creatorZou, Bing-Song
dc.date2005-09-06
dc.date2006-04-24
dc.date.accessioned2026-07-07T10:44:22Z
dc.date.available2026-07-07T10:44:22Z
dc.description$Kπ$ $S$ wave scattering is studied using a chiral unitary approach (ChUT) taking into account coupled channels. With the amplitudes derived from the lowest order chiral Lagrangian as the kernel of a set of coupled channel Bathe-Salpeter equations, the $I=1/2$ $S$ wave $Kπ$ scattering phase shifts below 1.2 GeV can be fitted by one parameter, a subtraction constant, and a scalar resonance corresponding to the controversial $κ$ ($K^*_0(800)$) can be generated dynamically. A good description of the $I=3/2$ $S$ wave $Kπ$ scattering phase shifts below 1.2 GeV can also be obtained. An artificial singularity in the conventional cut-off method of the 2-meson loop integral of the ChUT is found. The formalism is applied to deal with the $S$ wave $Kπ$ final state interaction (FSI) in the decay $J/ψ\to {\bar K}^{*0}(892)K^+π^-$, and a qualitatively good fit to the data is achieved. The role of $κ$ in the decay is discussed.
dc.description23 pages, 6 figures; comparison with the results from the Roy equation analysis added. Version accepted for publication in Nucl. Phys. A
dc.identifierhttps://arxiv.org/abs/hep-ph/0509050
dc.identifierhttp://arxiv.org/abs/hep-ph/0509050
dc.identifierNucl.Phys.A773:78-94,2006
dc.identifierdoi:10.1016/j.nuclphysa.2006.04.008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182567
dc.subjectHigh Energy Physics - Phenomenology
dc.titleS wave Kπscattering and effects of κin J/ψ\to {\bar K}^{*0}(892)K^+π^-
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