Exotic Hadrons from Scattering in the Diabatic Dynamical Diquark Model

Abstract

The diabatic framework generalizes the adiabatic approximation built into the Born-Oppenheimer (BO) formalism, and is devised to rigorously incorporate the mixing of BO-approximation eigenstates with two-particle thresholds. We recently applied this framework in a bound-state approximation to the mixing of hidden-charm dynamical-diquark tetraquark states with open-charm di-meson thresholds. Since almost all of these states are observed as above-threshold resonances, we here implement the corresponding scattering formalism to allow for a study of exotic tetraquark resonances within the diabatic framework. We calculate elastic open-charm di-meson cross sections (in channels with zero, open, and hidden strangeness) as functions of center-of-mass energy, and observe the development of true resonances, near resonances, and various threshold cusp effects. As an example, ${\chi }_{c1}(3872)$ can originate in the $1^{++}$ channel as a diquark-antidiquark state enhanced by the $D^0{\overline{D}}^{\ast 0}$ threshold, with or without an additional contribution from the conventional charmonium ${\chi }_{c1}(2P)$ state.

14 pages, 11 figures, four tables. To be published in PRD

References in corpus (12)

• Multiquark Resonances
• Pentaquark and Tetraquark states
• Exotics: Heavy Pentaquarks and Tetraquarks
• Precise measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ cross section at center-of-mass energies from 3.77 to 4.60 GeV
• Observation of a near-threshold structure in the $K^{+}$ recoil-mass spectra in $e^{+}{e}^{-}\to K^{+}(D_s^{-}{D}^{\ast 0}+D_s^{\ast -}{D}^0)$
• A New Picture for the Formation and Decay of the Exotic $XYZ$ Mesons
• String breaking by light and strange quarks in QCD
• The Dynamical Diquark Model: First Numerical Results
• Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical Diquark Model
• Spectroscopy of Exotic Hadrons Formed from Dynamical Diquarks
• The Spectrum of $P$-Wave Hidden-Charm Exotic Mesons in the Diquark Model
• Diabatic description of charmoniumlike mesons II: mass corrections and strong decay widths

Cited by in corpus (2)

• One Born$-$Oppenheimer Effective Theory to rule them all: hybrids, tetraquarks, pentaquarks, doubly heavy baryons and quarkonium
• Model-independent predictions for decays of hidden-heavy hadrons into pairs of heavy hadrons