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 $J/\psi +\varphi \leftrightarrow D_s^{\ast }+{\bar{D}}_s^{\ast }$, which can be associated with ${\chi }_{c1}(4140)$, and a narrow peak at $3.98$ GeV with the width $10$ MeV for the transitions $D_s^{-}+D_0^{\ast }\leftrightarrow J/\psi +K^{\ast -},$ which can be associated with the recently discovered $Z_{cs}(3985)$.

arXiv comment24 pages, 2 figures, 6 tables

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Cited by in corpus (12)

• An updated review of the new hadron states
• Exotic ${\bar{D}}_s^{(\ast )}{D}^{(\ast )}$ molecular states and $sc\bar{q}\bar{c}$ tetraquark states with $J^P=0^{+},1^{+},2^{+}$
• Implications of the $Z_{cs}(3985)$ and $Z_{cs}(4000)$ as two different states
• Magnetic dipole moment of the $Z_{cs}(3985)$ state: diquark-antidiquark and molecular pictures
• Is $Z_{cs}(3982)$ a molecular partner of $Z_c(3900)$ and $Z_c(4020)$ states?
• ${\bar{D}}_s^{(\ast )}{D}^{(\ast )}$ molecular state with $J^P=1^{+}$
• Magnetic dipole moments of the $Z_c(4020{)}^{+}$, $Z_c(4200{)}^{+}$, $Z_{cs}(4000{)}^{+}$ and $Z_{cs}(4220{)}^{+}$ states in light-cone QCD
• Strange hidden-charm tetraquarks in constituent quark models
• The scalar exotic resonances X(3915), X(3960), X(4140)
• $Z_{cs}(3985)$ in next-to-leading-order chiral effective field theory -- the first truncation uncertainty analysis
• The two-channel exotic charmonium-like resonances in the mass region $(3900-4700)$ MeV
• Hunting for the heavy quark spin symmetry partner of $Z_{cs}$