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.

arXiv comment10 pages, 1 figure

References in corpus (16)

• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Observation of the Narrow State $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ in $\bar{p}p$ Collisions at $\sqrt{s}=1.96 \TeV$
• Observation and Properties of the X(3872) Decaying to J/psi pi+ pi- in p-p(bar) Collisions at sqrt(s) = 1.96 TeV
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• Study of the B- --> J/psi K- pi+ pi- Decay and Measurement of the B- --> X(3872) K- Branching Fraction
• Short Range Structure in the X(3872)
• Interference and binding effects in decays of possible molecular component of X(3872)
• Coupled-channel model for charmonium levels and an option for X(3872)
• Observation of a Near-threshold $D^0{\bar{D}}^0{\pi }^0$ Enhancement in $B\to D^0{\bar{D}}^0{\pi }^{0}K$ Decay
• Reconciling the X(3872) with the near-threshold enhancement in the D^0\bar{D}^{*0} final state
• Search for B+ --> X(3872) K+, X(3872) --> J/psi gamma
• Reinterpreting several narrow `resonances' as threshold cusps
• Heavy quark spin selection rule and the properties of the X(3872)
• Exclusive Production of the X(3872) in B Meson Decay
• A Precision Determination of the D^0 Mass

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• Evidence for the decay X(3872) --> J/psi omega
• Is X(3872) {\sl Really} a Molecular State?
• An overview of $XYZ$ new particles
• Observation of Y(3940) -> J/psi omega in B -> J/psi omega K at BABAR
• Line Shapes of the X(3872)
• Efimov States in Nuclear and Particle Physics
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• Using Line Shapes to Discriminate between Binding Mechanisms for 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
• Hadronic Spectrum - Multiquark States
• 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
• Dynamical study of the possible molecular state X(3872) with the s-channel one gluon exchange interaction
• Exotic c c-bar Mesons
• Isospin violation in the yield of S-wave heavy meson pairs near threshold
• Branching Fractions of the $X(3872)$