How many vector charmonium(-like) states sit in the energy range from 4.2 to 4.35 GeV?
arxiv(2024)
Abstract
In recent years many vector charmonium(-like) states were reported by
different electron-positron collider experiments above 4.2 GeV. However, so
far, there not only exists sizable tension in the parameters of those states,
but there is also no consensus on the number of the vector states in this
energy range. To some extend, this might be caused by the fact that the
experimental data were typically analyzed in single channel analyses employing
overlapping Breit-Wigner functions, in particular ignoring the effect of
opening thresholds. In this study, we focus on the mass range between 4.2 and
4.35 GeV, conducting a comprehensive analysis of eight different final states
in e^+ e^- annihilation. Our findings demonstrate that, within this mass
range, a single vector charmonium-like state, exhibiting properties consistent
with a D_1D̅ molecular structure and characterized by a pole location
√(s_pole^Y(4230))=( 4227± 3 -i/2(50^+10_-5) ) MeV, can effectively describe all
the collected data. This is made possible by allowing for an interference with
the well-established vector chamonium ψ(4160) along with the inclusion of
the D_1D̅ threshold effect. Moreover, in contrast to experimental
analyses, our study reveals that the highly asymmetric total cross sections for
e^+e^-→ J/ψππ and e^+e^-→ J/ψ KK̅ around 4230 MeV stem
from the same physics, rooted in the approximate SU(3) flavor symmetry of QCD.
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