<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>D</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>D</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math> hadronic atom and its production in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mi>p</mml:mi></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mover accent="true"><mml:mi>p</mml:mi><…

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