Аннотация:
Enfant terrible of charmonium spectroscopy, the
resonance $X(3872)$, generated a stream of interpretations and
ushered in a new exotic $XYZ$ spectroscopy. In the
meantime, many (if not all) characteristics of
$X(3872)$ are rather ambiguous. We construct spectra of decays of
the resonance $X(3872)$ with good analytical and unitary
properties which allows to define the branching ratio of the
$X(3872) \to D^{*0}\bar D^0 + \text{c.c.}$ decay studying only one more
decay, for example, the $X(3872)\to\pi^+\pi^- J/\psi(1S)$ decay.
We next define the range of values of the coupling constant of the
$X(3872)$ resonance with the $D^{*0}\bar D^0$ system. Finally, we
show that our spectra are effective means of selection of models
for the resonance $X(3872)$.