Production of meson molecules in ultraperipheral heavy ion collisons

Journal Article · 30 August 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.110.034037 · OSTI ID:2438621

Sobrinho, F. C.; Abreu, L. M. ; Bertulani, C. A. ; Navarra, F. S.

In this work we present a calculation of exotic charmonium production in ultraperipheral collisions, in which the exotic state is explicitly treated as a meson molecule. Our formalism is general, but we focus on the lightest possible exotic charmonium state: a $D^{+}{D}^{-}$ molecular bound state. It was proposed some time ago, and it has been an object of experimental searches. Here we study the production of the open charm pair in the process $\gamma \gamma \to D^{+}{D}^{-}$ . Then we use a prescription to project the free pair $|D^{+}{D}^{-}⟩$ onto a bound state at the amplitude level and compute the cross section of the process $\gamma \gamma \to B$ (where $B$ is the bound state). Finally, we convolute this last cross section with the equivalent photon distributions coming from the projectile and target in an ultraperipheral collision and find the $AA\to AAB$ cross section, which, for $Pb-Pb$ collisions at $\sqrt{s_{NN}}=5.02\mathrm{TeV}$ , is of the order of $3\mathrm{\mu }\mathrm{b}$ . Published by the American Physical Society 2024

• Sponsoring Organization: USDOE
• Grant/Contract Number: FG02-08ER41533
• OSTI ID: 2438621
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 3 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010
• Publisher: American Physical SocietyCopyright Statement
• Country of Publication: United States
• Language: English