Dispersive analysis of the γγ→DD data and the confirmation of the DD bound state

ORAL

Abstract

In my talk, I will present our recent data-driven analysis of the γγ→D+D− and γγ→D0D0 reactions from threshold up to 4.0 GeV in the DD invariant mass. For the S-wave contribution, we adopt a partial-wave dispersive representation, which is solved using the N/D ansatz. The left-hand cuts are accounted for using the model-independent conformal expansion. The D-wave χc2(3930) state is described as a Breit-Wigner resonance. The resulting fits are consistent with the data on the invariant mass distribution of the e+e−→J/ψDD process. Performing an analytic continuation to the complex s-plane, we find no evidence of a pole corresponding to the broad resonance X(3860) reported by the Belle Collaboration. Instead, we find a clear bound state below the DD threshold at 3695(4) MeV, confirming the previous phenomenological and lattice predictions.

*This work was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation), in part through the Research Unit [Photon-photon interactions in the Standard Model and beyond, Projektnummer 458854507 - FOR 5327], and in part through the Cluster of Excellence [Precision Physics, Fundamental Interactions, and Structure of Matter] (PRISMA+ EXC 2118/1) within the German Excellence Strategy (Project ID 39083149).

Publication: Phys.Lett.B 827 (2022) 136982

Presenters

  • Igor Danilkin

    • Univ Mainz

Authors

  • Igor Danilkin

    • Univ Mainz
  • Oleksandra Deineka

    • Johannes Gutenberg University of Mainz
  • Marc Vanderhaeghen

    • Univ Mainz