Isospin properties of the X state near the D {\bar D}^{*} threshold

Abstract

The $D{\bar{D}}^{\ast }$ scattering amplitude and the production of the final states ${\pi }^{+}{\pi }^{-}J/\psi$ and ${\pi }^{+}{\pi }^{-}{\pi }^{0}J/\psi$ near the $D^0{\bar{D}}^{\ast 0}$ threshold are discussed following the recent suggestion that the observed peaks X(3872) and X(3875) in the decays $B\to XK$ are due to a virtual state $X$ in the $D^0{\bar{D}}^{\ast 0}$ channel. The strong interaction is treated using the small interaction radius approximation. It is shown that the mass difference between the charged and neutral $D^{(\ast )}$ mesons results in a distinctive behavior of the relevant isotopic amplitudes. In particular, the shape of the peak in the ${\pi }^{+}{\pi }^{-}J/\psi$ channel should be significantly narrower than in the ${\pi }^{+}{\pi }^{-}{\pi }^{0}J/\psi$ channel, which property can be used for an experimental test of the virtual state hypothesis.

10 pages, 1 figure

References in corpus (1)

• Reconciling the X(3872) with the near-threshold enhancement in the D^0\bar{D}^{*0} final state

Cited by in corpus (16)

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• The Exotic XYZ Charmonium-like Mesons
• Is X(3872) {\sl Really} a Molecular State?
• Line Shapes of the X(3872)
• Interplay of quark and meson degrees of freedom in a near-threshold resonance
• The Effects of Charged Charm Mesons on the Line Shapes of the X(3872)
• The Spin-orbit force, recoil corrections and possible $B{\bar{B}}^{\ast }$ and $D{\bar{D}}^{\ast }$ molecular states
• Pionic transitions from X(3872) to chi_{cJ}
• On the scattering of D and D* mesons off the X(3872)
• Discriminating among interpretations for the $X(2900)$ states
• X(3872) and the bound state problem of $D^0{\bar{D}}^{\ast 0}$ (${\bar{D}}^0{D}^{\ast 0}$) in a chiral quark model
• Line Shapes of the Z(4430)
• Radiative and pionic transitions $Z_c(4020{)}^0\to X(3872)\gamma$ and $Z_c(4020{)}^{\pm }\to X(3872){\pi }^{\pm }$
• Study of exotic hadrons with machine learning
• Analysis of the possible $D{\bar{D}}_{s0}^{\ast }(2317)$ and $D^{\ast }{\bar{D}}_{s1}^{\ast }(2460)$ molecules with QCD sum rules
• Exotic c c-bar Mesons