The scalar exotic resonances X(3915), X(3960), X${}_0$(4140)

The scalar resonances X(3915), X(3960), X${}_0$(4140) are considered as exotic four-quark states: $cq\overline{c}\overline{q}$, $cs\overline{c}\overline{s}$, $cs\overline{c}\overline{s}$, while the X(3863) is proved to be the $c\overline{c}$, 2${}^3$P${}_0$ 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 ($\lesssim$ 1.0 fm). Then the resonance X(3915) appears due to the transitions: J/ψω into D${}^{\ast +}$D${}^{\ast -}$ (or D${}^{\ast 0}{\overline{D}}^{\ast 0}$) and back, while the X(3960) is created due to the transitions D${}_s^{+}$D${}_s^{-}$ into J/ψϕ and back, and the X${}_0$(4140) is formed in the transitions J/ψϕ into D${}_s^{\ast +}$D${}_s^{\ast -}$ 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, Γ(X(3915))=20 MeV; M(X(3960))=3970 MeV, Γ(X(3960)=45(5) MeV, M(X${}_0$(4140))= 4120(20) MeV, Γ(X${}_0$(4140))=100 MeV, which are in good agreement with experiment.