Radially excited axial mesons and the enigmatic $Z_c$ and $Z_b$ in a coupled-channel model

Abstract

The enigmatic charged states $Z_c(3900)$, $Z_c(4020)$, $Z_c(4050)$, $Z_b(10610)$, and $Z_b(10650)$ are studied within a coupled-channel Schrödinger model, where radially excited quark-antiquark pairs, with the same angular momenta and isospin as the $a_1(1260)$ and $b_1(1235)$, are strongly coupled to their Okubo-Zweig-Iizuka - allowed decay channels $D{\bar{D}}^{\ast }+\bar{D}{D}^{\ast }$ and $D^{\ast }{\bar{D}}^{\ast }$, or $B{\bar{B}}^{\ast }+\bar{B}{B}^{\ast }$ and $B^{\ast }{\bar{B}}^{\ast }$, in $S$ and $D$-wave. Poles, matching the experimental mass and width of all the above states, are found by varying only two free parameters. From the wave-function analysis of each resonance, the probability of each of the components contributing to the coupled system is estimated, and predictions can be made for the relative decay fractions among the coupled open-charm or open-bottom decay channels.

8 pages, 3 figures

References in corpus (20)

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• Study of the $B{\bar{B}}^{\ast }/D{\bar{D}}^{\ast }$ bound states in a Bethe-Salpeter approach
• Is $Z_b(10610)$ a Molecular State?
• Recoupling matrix elements and decay
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• Coupling constants and transition potentials for hadronic decay modes of a meson
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Cited by in corpus (8)

• Pentaquark and Tetraquark states
• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• $P$-wave coupled channel effects in electron-positron annihilation
• Line-shape and poles of the $\psi (3770)$
• Fully open-flavor tetraquark states $bc\bar{q}\bar{s}$ and $sc\bar{q}\bar{b}$ with $J^P=0^{+},1^{+}$
• The spin parity of $Z_c^{-}$(4100), $Z_1^{+}$(4050) and $Z_2^{+}$(4250)
• Why static bound-state calculations of tetraquarks should be met with scepticism