$D^{+}{D}^{-}$ hadronic atom and its production in $pp$ and $p\bar{p}$ collisions

Abstract

There must be Coulomb bound states of a pair of hadrons, which are stable against the strong interaction, with opposite electric charges. Such bound states are hadronic atoms. We study the properties and the production of the ground-state $D^{+}{D}^{-}$ hadronic atom $A_{D^{+}{D}^{-}}$, called dionium, with quantum numbers $J^{PC}=0^{++}$. Using a nonrelativistic effective field theory for the $D^0{\bar{D}}^0$-$D^{+}{D}^{-}$ coupled-channel system, the mass of the ground-state dionium is predicted to be $(3739.3\pm 0.1)\text{MeV}$, with the binding energy reduced by about 10% compared to the Coulomb binding energy due to the strong interaction. Its width for the decay into the neutral $D^0{\bar{D}}^0$ channel is predicted to be $1.8_{-0.6}^{+1.4}$ keV using lattice inputs for the $D\bar{D}$ strong interaction. The cross section for the inclusive prompt production of the dionium at CMS and LHCb and that for the direct production $p\bar{p}\to A_{D^{+}{D}^{-}}$ at PANDA are estimated at an order-of-magnitude level. In particular, we expect that $\mathcal{O}(10^3\sim 10^5)$ events of the reaction chain $p\bar{p}\to A_{D^{+}{D}^{-}}\to D^0{\bar{D}}^0\to K^{-}{\pi }^{+}{K}^{+}{\pi }^{-}$ can be collected at PANDA, and valuable information on the charmed meson interaction and on understanding charmoniumlike states will be obtained.

25 pages, 5 figures. Version to appear in Phys. Rev. D

References in corpus (19)

• An Introduction to PYTHIA 8.2
• Multiquark Resonances
• Pentaquark and Tetraquark states
• Dynamically Generated Open and Hidden Charm Meson Systems
• Threshold cusps and triangle singularities in hadronic reactions
• X(3872) and Other Possible Heavy Molecular States
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• DN interaction from meson exchange
• Hadronic atoms in QCD + QED
• Possible S-wave Bound-States of Two Pseudoscalar Mesons
• Charmonium-like resonances with $J^{PC}=0^{++},2^{++}$ in coupled $D\bar{D}$, $D_s{\bar{D}}_s$ scattering on the lattice
• Role of the hadron molecule Lambda_c(2940) in the p bar(p) -> p D0 bar(Lambda)_c(2286) annihilation reaction
• Analysis of the $\mathbf{\gamma \gamma }\to \mathbf{D}\bar{\mathbf{D}}$ reaction and the $D\bar{D}$ bound state
• Production of charmed pseudoscalar mesons in antiproton-proton annihilation
• Searching for a $D\bar{D}$ bound state with the $\psi (3770)\to \gamma D^0{\bar{D}}^0$ decay
• Production of charm-strange hadronic molecules at the LHC
• $D^{\pm }{D}^{\ast \mp }$ Hadronic Atom as a Key to Revealing the $X(3872)$ Mystery
• Possible precise measurements of the $X(3872)$ mass with the $e^{+}{e}^{-}\to {\pi }^0\gamma X(3872)$ and $p\bar{p}\to \gamma X(3872)$ reactions
• Decay of kaonium in a chiral approach

Cited by in corpus (9)

• Possible ${\Lambda }_c{\bar{\Lambda }}_c$ molecular states and their productions in nulceon-antinulceon collision
• Production of the $X(4014)$ as the spin-2 partner of $X(3872)$ in $e^{+}{e}^{-}$ collisions
• Semi-inclusive electroproduction of hidden-charm and double-charm hadronic molecules
• Femtoscopy correlation functions and hadron-hadron scattering amplitudes in presence of Coulomb potential
• Exclusive photon-fusion production of even-spin resonances and exotic QED atoms in high-energy hadron collisions
• Study of the $B^{-}\to K^{-}\eta {\eta }_c$ decay due to the $D\bar{D}$ bound state
• Coupled-channel analysis of the near-threshold $e^{+}{e}^{-}\to N\bar{N}$ cross sections
• Production of hidden-heavy and double-heavy hadronic molecules at the $Z$ factory of CEPC
• Role of electromagnetic corrections in the $\pi \pi$ distributions of ${\psi }^{\prime }\to J/\psi \pi \pi$