Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-04-23
Phys.Rev.D76:014007,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, 1 figure
Scientific paper
10.1103/PhysRevD.76.014007
The $D {\bar D}^*$ scattering amplitude and the production of the final states $\pi^+ \pi^- J/\psi$ and $\pi^+ \pi^- \pi^0 J/\psi$ near the $D^0 {\bar D}^{*0}$ threshold are discussed following the recent suggestion that the observed peaks X(3872) and X(3875) in the decays $B \to X K$ are due to a virtual state $X$ in the $D^0 {\bar D}^{*0}$ channel. The strong interaction is treated using the small interaction radius approximation. It is shown that the mass difference between the charged and neutral $D^{(*)}$ 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.
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