Joint Institute for Nuclear Research Relativistic ... - Index of - JINR
Joint Institute for Nuclear Research Relativistic ... - Index of - JINR
Joint Institute for Nuclear Research Relativistic ... - Index of - JINR
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COMBINED ANALYSIS OF PROCESSES ππ → ππ,KK,ηη AND J/ψ<br />
DECAYS AND PARAMETERS OF SCALAR MESONS<br />
Yu.S. Surovtsev 1† , P. Bydžovský 2 , R. Kamiński 3 , V.E. Lyubovitskij 4 and M. Nagy 5<br />
(1) Bogoliubov Laboratory <strong>of</strong> Theoretical Physics, <strong>JINR</strong>, Dubna, Russia<br />
(2) <strong>Nuclear</strong> Physics <strong>Institute</strong>, CAS, Řež near Prague, Czech Republic<br />
(3) <strong>Institute</strong> <strong>of</strong> <strong>Nuclear</strong> Physics, PAN, Cracow, Poland<br />
(4) Institut für Theoretische Physik, Universität Tübingen, Tübingen, Germany<br />
(5) <strong>Institute</strong> <strong>of</strong> Physics, SAS, Bratislava, Slovak Republic<br />
† E-mail: surovcev@theor.jinr.ru<br />
The coupled processes – the ππ scattering, ππ → KK, ππ → ηη and J/ψ →<br />
φππ,φKK – are considered in the 2- and 3-channel approaches <strong>for</strong> studying f 0 -mesons.<br />
An applied model-independent method <strong>of</strong> analysis is based on analyticity and unitarity<br />
and uses an uni<strong>for</strong>mization procedure [1]. It is shown [2] that the analysis <strong>of</strong> the only<br />
ππ scattering data gives an excellent description from the threshold to 1.89 GeV with<br />
the resonance parameters, being the same as the ones, indicated in the PDG tables as<br />
estimations, and with the ππ-scattering length being in accordance with the ones gotten<br />
from the K e4 decay data, in the DIRAC experiment at CERN and also in the ChPT<br />
calculations. However, (1) the ππ → KK are not well described even qualitatively above<br />
1.15 GeV when using the resonance parameters from the only ππ scattering analysis, and<br />
(2) in this case, the description <strong>of</strong> ππ background is unsatisfactory (pseudo-background<br />
arises). I.e., a combined analysis <strong>of</strong> ππ → ππ,KK is needed, which also is carried out<br />
satisfactorily, curing flaws (1) and partly (2) and changing inevitably the resonance parameters.<br />
The remaining ππ pseudo-background, arising at the ηη threshold and clearly<br />
indicating that it is necessary to consider explicitly also the ηη-threshold branch-point,<br />
vanishes in the 3-channel analysis <strong>of</strong> processes ππ → ππ,KK,ηη per<strong>for</strong>med. Moreover,<br />
the consideration <strong>of</strong> left-hand branch-point at s = 0 in the uni<strong>for</strong>mizing variable, except<br />
ηη-threshold branch-point, solves partly a problem, that the wide-resonance parameters<br />
are strongly controlled by the non-resonant background. Some possible scenarios <strong>of</strong> the<br />
resonance representations on the Riemann surface <strong>of</strong> the S-matrix, which give the similar<br />
description <strong>of</strong> the above processes and, however, the quite different parameters <strong>of</strong> some<br />
resonances [1], is rejected [3] when enlarging the analysis with adding the data on decays<br />
J/ψ → φππ,φKK fromMarkIII,DM2andespecially fromBES.Therearechangedmost<br />
considerably parameters <strong>of</strong> the f 0 (600) – now the obtained mass is in some accordance<br />
with prediction by S. Weinberg on the basis <strong>of</strong> mended symmetry. Some spectroscopic<br />
implications from results <strong>of</strong> the analysis are discussed.<br />
References<br />
[1] Yu.S. Surovtsev, P. Bydžovský and V.E. Lyubovitskij, Phys. Rev. D85, 036002<br />
(2012).<br />
[2] Yu.S. Surovtsev et al., arXiv: 1206.3438 [hep-ph].<br />
[3] Yu.S. Surovtsev et al., arXiv:1207.6937 [hep-ph].<br />
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