  The phenomenon of a narrow peak X(3875), discovered recently by the LHCb in
the $D^*D$ system, and the absence of resonances in the $D_sD_s$ and
$D_s^*D_s^*$ systems is discussed within the new extended version of the
Recoupling Model, where the resonance is the result of infinite recoupling
transitions of confining strings between quarks and antiquarks.
  We show that existence of the resonance in the $D^*D$ and its absence in
$D_sD_s$ and $D_s^*D_s^*$ systems are the natural results of the Recoupling
Mechanism. The application of this mechanism to the $D\bar D^*$ system allows
to obtain the resonance $Z_c(3900)$ with larger width in agreement with
experimental data.
