  The infinite chain of transitions of one pair of mesons (channel I) into
another pair of mesons (channel II) can produce bound states and resonances in
both channels even if no interactions inside channels exist. These resonances
which can occur also in meson-baryon channels are called channel-coupling (CC)
resonances. A new mechanism of CC resonances is proposed where transitions
occur due to a rearrangement of confining strings inside each channel -- the
recoupling mechanism. The amplitude of this recoupling mechanism is expressed
via overlap integrals of the wave functions of participating mesons (baryons).
The explicit calculation with the known wave functions yields the peak at $E=
4.12$ GeV for the transitions $J/\psi + \phi \leftrightarrow D^*_s + \bar D^*_s
$, which can be associated with $\chi_{c1}(4140)$, and a narrow peak at $3.98$
GeV with the width $10$ MeV for the transitions $D^{-}_s + D^*_0
\leftrightarrow J/\psi + K^{*-},$ which can be associated with the recently
discovered $Z_{cs}(3985)$.
