Analysis of the $\mathbf{\gamma \gamma }\to \mathbf{D}\bar{\mathbf{D}}$ reaction and the $D\bar{D}$ bound state

Abstract

In this work, we investigate the reaction of $\gamma \gamma \to D\bar{D}$, taking into account the s-wave $D\bar{D}$ final state interaction. By fitting to the $D\bar{D}$ invariant mass distributions measured by the Belle and BaBar Collaborations, we obtain a good reproduction of the data by means of a $D\bar{D}$ amplitude that produces a bound $D\bar{D}$ state with $I=0$ close to threshold. The error bands of the fits indicate, however, that more precise data on this reaction are needed to be more assertive about the position and width of such state.

9 pages, 7 figures, and 1 table

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Cited by in corpus (21)

• Charmonium-like resonances with $J^{PC}=0^{++},2^{++}$ in coupled $D\bar{D}$, $D_s{\bar{D}}_s$ scattering on the lattice
• Molecular Interpretation of $X(3960)$ as $D_s^{+}{D}_s^{-}$ State
• The study of $\gamma \gamma \to \gamma \psi (2S)$ at Belle
• The $X(3960)$ seen in $D_s^{+}{D}_s^{-}$ as the $X(3930)$ state seen in $D^{+}{D}^{-}$
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
• Understanding the $0^{++}$ and $2^{++}$ charmonium(-like) states near 3.9 GeV
• Scalar and tensor charmonium resonances in coupled-channel scattering from QCD
• Search for a $D\bar{D}$ bound state in the ${\Lambda }_b\to \Lambda D\bar{D}$ process
• Production rates of $D_s^{+}{D}_s^{-}$ and $D\bar{D}$ molecules in $B$ decays
• Charmonium ${\chi }_{c0}$ and ${\chi }_{c2}$ resonances in coupled-channel scattering from lattice QCD
• Faddeev fixed-center approximation to the $D\bar{D}K$ system and the hidden charm $K_{c\bar{c}}(4180)$ state
• Role of the newly measured $B\to KD\bar{D}$ process to establish ${\chi }_{c0}(2P)$ 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
• 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
• Investigating $S$-wave bound states composed of two pseudoscalar mesons
• Revisit the $Z_c(4025)$ structure observed by BESIII in the $e^{+}{e}^{-}\to (D^{\ast }{\bar{D}}^{\ast }{)}^{\pm ,0}{\pi }^{\mp ,0}$ reactions at $\sqrt{s}=4.26$ GeV
• Three-body final state interactions in $B^{+}\to D\bar{D}{K}^{+}$ decays
• The scalars $a_0(980)$ and $f_0(980)$ in the process $D_s^{+}\to K^{+}{K}^{-}{\pi }^{+}$