Searching for a $D\bar{D}$ bound state with the $\psi (3770)\to \gamma D^0{\bar{D}}^0$ decay

Abstract

We perform a calculation of the mass distribution in the $\psi (3770)\to \gamma D\bar{D}$ decay, studying both the $D^{+}{D}^{-}$ and $D^0{\bar{D}}^0$ decays. The electromagnetic interaction is such that the tree level amplitude is null for the neutral channel, which leaves the $\psi (3770)\to \gamma D^0{\bar{D}}^0$ proceeding through a loop involving the $D^{+}{D}^{-}\to D^0{\bar{D}}^0$ scattering amplitude. We use the results for this amplitude of a theoretical model that predicts a $D\bar{D}$ bound state and find a $D^0{\bar{D}}^0$ mass distribution in the decay drastically different than phase space. The rates obtained are relatively large and the experiment is easily feasible in the present BESIII facility. The performance of this experiment could provide an answer to the issue of this much searched for state, which is the analogue of the $f_0(980)$ resonance.

9 pages, 7 figures. add more discussions at the end of the results section related to BESIII

References in corpus (10)

• Pentaquark and Tetraquark states
• Future Physics Programme of BESIII
• Dynamically Generated Open and Hidden Charm Meson Systems
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Measurements of the cross sections for $e^{+}{e}^{-}\to \mathrm{hadrons}$ at 3.650, 3.6648, 3.773 GeV and the branching fraction for $\psi (3770)\to \mathrm{non}-D\bar{D}$
• Measurements of the braching fractions for psi(3770)--> D0D0-bar,D+D-,DD-bar$ and the resonance parameters of psi(3770) and psi(2S)
• Hidden charm dynamically generated resonances and the $e^{+}{e}^{-}\to J/\psi D\bar{D}$, $J/\psi D{\bar{D}}^{\ast }$ reactions
• Towards a dynamical understanding of the non-$D\bar{D}$ decay of $\psi (3770)$
• The radiative decay of $\psi (3770)$ into the predicted scalar state X(3700)
• Line shape and $D^{(\ast )}{\bar{D}}^{(\ast )}$ probabilities of $\psi (3770)$ from the $e^{+}{e}^{-}\to D\bar{D}$ reaction

Cited by in corpus (17)

• Charmonium-like resonances with $J^{PC}=0^{++},2^{++}$ in coupled $D\bar{D}$, $D_s{\bar{D}}_s$ scattering on the lattice
• Molecular states from $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{D}^{(\ast )}/{\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions
• A new look at the $P_{cs}$ states from a molecular perspective
• Analysis of the $\mathbf{\gamma \gamma }\to \mathbf{D}\bar{\mathbf{D}}$ reaction and the $D\bar{D}$ bound state
• The $D_s^{+}\to {\pi }^{+}{K}_s^0{K}_s^0$ reaction \\and the $I=1$ partner of the $f_0(1710)$ state
• Is $X(7200)$ the heavy anti-quark diquark symmetry partner of $X(3872)$?
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
• Spectrum of the molecular tetraquarks: Unraveling the $T_{cs0}(2900)$ and $T_{c\bar{s}0}^a(2900)$
• Faddeev fixed-center approximation to the $D\bar{D}K$ system and the hidden charm $K_{c\bar{c}}(4180)$ state
• $D^{+}{D}^{-}$ hadronic atom and its production in $pp$ and $p\bar{p}$ collisions
• The role of electromagnetic interaction in the $X(3872)$ and its analogs
• Searching for femtoscopic signatures of the $D\bar{D}(I=0)[X(3700)]$ bound state
• Production of pentaquarks with hidden charm and double strangeness in ${\Xi }_b$ and ${\Omega }_b$ decays
• Role of the short-range dynamics in the formation of $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ hadronic molecules
• Study of the $B^{-}\to K^{-}\eta {\eta }_c$ decay due to the $D\bar{D}$ bound state
• The dynamically generated $N(1535)$ state in the ${\Lambda }_c^{+}\to p{\bar{K}}^0{\pi }^0$ decay
• Investigating $S$-wave bound states composed of two pseudoscalar mesons