Constituent counting rule for exclusive production of heavy quarkoniumlike exotic resonance and a light hadron

Abstract

The exclusive processes are considered, where a point-like source of heavy quark-antiquark pairs $Q\bar{Q}$, e.g. their electromagnetic current, produces a pair consisting of a heavy quarkoniumlike exotic meson (tetraquark) or baryon (pentaquark) and a light meson or an antibaryon. For a sufficiently large mass of the heavy quark $m_Q$ there is a range of the energy $E$ above the $Q\bar{Q}$ threshold, where $E\ll m_Q$ and still the energy is large compared to the strong interaction scale, $E\gg {\Lambda }_{QCD}$. It is shown that in this energy range, where the heavy quarks are nonrelelativistic, a specific `intermediate asymptotic' behavior sets in determined by the number $n$ of the pairs of constituent quarks, with the rate scaling as $E^{1-n}$.

arXiv comment10 pages, 3 figures

References in corpus (14)

• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• Observation of a charged charmoniumlike structure in e+e- to pi+pi-J/psi at \sqrt{s}=4.26 GeV
• Observation of two charged bottomonium-like resonances in Y(5S) decays
• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Observation of a charged charmoniumlike structure Z_c(4020) and search for the Z_c(3900) in e+e- to pi+pi-h_c
• Observation of the resonant character of the $Z(4430{)}^{-}$ state
• Heavy quark spin structure in Z_b resonances
• Formation of hidden-charm pentaquarks in photon-nucleon collisions
• Radiative transitions from Upsilon(5S) to molecular bottomonium
• The QCD Dynamics of Tetraquark Production
• Energy scan of the $e^{+}{e}^{-}\to h_b(nP){\pi }^{+}{\pi }^{-}$ $(n=1,2)$ cross sections and evidence for ${\rm Y}(11020)$ decays into charged bottomonium-like states
• Tetraquark Cusp Effects from Diquark Pair Production
• Constituent-counting rule in photoproduction of hyperon resonances
• Sum rules for interaction of ${\rm Y}$ resonances with $Z_b\pi$

Cited by in corpus (5)

• Hadronic molecules
• Multiquark Resonances
• Production of exotic hadrons in $pp$ and nuclear collisions
• Tetraquarks in holographic QCD
• QCD Compositeness as Revealed in Exclusive Vector Boson Reactions through Double-Photon Annihilation: $e^{+}{e}^{-}\to \gamma {\gamma }^{\ast }\to \gamma V^0$ and $e^{+}{e}^{-}\to {\gamma }^{\ast }{\gamma }^{\ast }\to V^0{V}^0$