Recoupling Mechanism for exotic mesons and baryons

Abstract: 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 $Z_{cs}(3985)$.