Search for a doubly-charged $DDK$ bound state in ${\rm Y}(1S,2S)$ inclusive decays and via direct production in $e^{+}{e}^{-}$ collisions at $\sqrt{s}$ = 10.520, 10.580, and 10.867 GeV

Abstract

We report the results of a first search for a doubly-charged $DDK$ bound state, denoted the $R^{++}$, in ${\rm Y}(1S)$ and ${\rm Y}(2S)$ inclusive decays and via direct production in $e^{+}{e}^{-}$ collisions at $\sqrt{s}$ = 10.520, 10.580, and 10.867 GeV. The search uses data accumulated with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider. No significant signals are observed in the $D^{+}{D}_s^{\ast +}$ invariant-mass spectra of all studied modes. The 90\% credibility level upper limits on their product branching fractions in ${\rm Y}(1S)$ and ${\rm Y}(2S)$ inclusive decays ($\mathcal{B}({\rm Y}(1S,2S)\to R^{++}+anything)\times \mathcal{B}(R^{++}\to D^{+}{D}_s^{\ast +})$), and the product values of Born cross section and branching fraction in $e^{+}{e}^{-}$ collisions ($\sigma (e^{+}{e}^{-}\to R^{++}+anything)\times \mathcal{B}(R^{++}\to D^{+}{D}_s^{\ast +})$) at $\sqrt{s}$ = 10.520, 10.580, and 10.867 GeV under different assumptions of $R^{++}$ masses varying from 4.13 to 4.17 GeV/$c^2$, and widths varying from 0 to 5 MeV are obtained.

arXiv comment14 pages, 11 figures, accepted for publication as a Regular Article in Physical Review D

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Cited by in corpus (4)

• Excited $K$ meson, $K_c(4180)$, with hidden charm as a $D\bar{D}K$ bound state
• One way to verify the molecular picture of exotic hadrons --from $DK$ to $DDK/D{\bar{D}}^{(\ast )}K$
• Theoretical investigation of the molecular nature of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ and the possibility of observing the $D\bar{D}K$ bound state $K_{c\bar{c}}(4180)$ in inclusive $e^{+}{e}^{-}\to c\bar{c}$ collisions
• Low-energy $DD$ scattering in lattice QCD