  The scalar resonances $X(3915), X(3960), X(4140)$ are considered as exotic
four-quark states: $cq\bar c \bar q, cs\bar c \bar s, cs\bar c\bar s$, while
the $X(3863)$ is proved to be the $c\bar c, 2\,^3P_0$ state. The masses and the
widths of these resonances are calculated in the framework of the Extended
Recoupling Model, where a four-quark system is formed inside the bag and has
relatively small size ($\la 1.0$~fm). Then the resonance $X(3915)$ appears due
to the transitions: $J/\psi\omega$ into $D^{*+}D^{*-}$ (or $D^{*0}\bar D^{*0})$
and back, while the $X(3960)$ is created due to the transitions $D_s^+D_s^-$
into $J/\psi\phi$ and back, and the $X(4140)$ is formed in the transitions
$J/\psi\phi$ into $D_s^{*+}D_s^{*-}$ and back. The characteristic feature of
the recoupling mechanism is that this type of resonances can be predominantly
in the $S$-wave decay channels and has $J^P=0^+$. In two-channel case the
resonance occurs to be just near the lower threshold, while due to coupling to
third channel (like the $c\bar c$ channel) it is shifted up and lies by
(20--30)~MeV above the lower threshold. The following masses and widths are
calculated: $M(X(3915))=3920$~MeV, $\Gamma(X(3915))=20$~MeV;
$M(X(3960))=3970$~MeV, $\Gamma(X(3960)=45(5)$~MeV, $M(X(4140))= 4120(20)$~MeV,
$\Gamma(X(4140))=100$~MeV, which are in good agreement with experiment.
