Three methods to detect the predicted $D\bar{D}$ scalar meson X(3700)

Abstract

In analogy to the f_0(500), which appears as a $\pi \pi$ resonance in chiral unitary theory, and the f_0(980), which appears as a quasibound $K\bar{K}$ state, the extension of this approach to the charm sector also predicts a quasibound $D\bar{D}$ state with mass around 3720 MeV, named as X(3700), for which some experimental support is seen in the $e^{+}{e}^{-}\to J/\psi D\bar{D}$ reaction close to the $D\bar{D}$ threshold. In the present work we propose three different experiments to observe it as a clear peak. The first one is the radiative decay of the $\psi (3770)$, $\psi (3770)\to \gamma X(3700)\to \gamma \eta {\eta }^{\prime }$. The second one proposes the analogous reaction $\psi (4040)\to \gamma X(3700)\to \gamma \eta {\eta }^{\prime }$ and the third reaction is the $e^{+}{e}^{-}\to J/\psi X(3700)\to J/\psi \eta {\eta }^{\prime }$. Neat peaks are predicted for all the reactions and the calculated rates are found within measurable range in present facilities.

extra experimental information added

References in corpus (9)

• Dynamically Generated Open and Hidden Charm Meson Systems
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• Search for new charmonium states in the processes e+ e- --> J/psi D(*) D(*) at sqrt{s} ~ 10.6 GeV
• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
• Light Flavour and Heavy Quark Spin Symmetry in Heavy Meson Molecules
• Hidden charm dynamically generated resonances and the $e^{+}{e}^{-}\to J/\psi D\bar{D}$, $J/\psi D{\bar{D}}^{\ast }$ reactions
• The radiative decay of $\psi (3770)$ into the predicted scalar state X(3700)
• Properties of the rho and sigma Mesons from Unitary Chiral Dynamics

Cited by in corpus (16)

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• Analysis of the $\mathbf{\gamma \gamma }\to \mathbf{D}\bar{\mathbf{D}}$ reaction and the $D\bar{D}$ bound state
• $B^0\to D^0{\bar{D}}^0{K}^0$, $B^{+}\to D^0{\bar{D}}^0{K}^{+}$ and the scalar $D\bar{D}$ bound state
• Heavy-hadron molecular spectrum from light-meson exchange saturation
• The $X(3960)$ seen in $D_s^{+}{D}_s^{-}$ as the $X(3930)$ state seen in $D^{+}{D}^{-}$
• Searching for a $D\bar{D}$ bound state with the $\psi (3770)\to \gamma D^0{\bar{D}}^0$ decay
• Spectrum of the molecular tetraquarks: Unraveling the $T_{cs0}(2900)$ and $T_{c\bar{s}0}^a(2900)$
• Search for a $D\bar{D}$ bound state in the ${\Lambda }_b\to \Lambda D\bar{D}$ process
• Faddeev fixed-center approximation to the $D\bar{D}K$ system and the hidden charm $K_{c\bar{c}}(4180)$ state
• Investigation of $J/\psi \to \gamma {\pi }^0\eta ({\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0)$ radiative decays including final-state interactions
• $D^{+}{D}^{-}$ hadronic atom and its production in $pp$ and $p\bar{p}$ collisions
• $\bar{p}p$ annihilation into $\bar{D}D$ meson pair within an effective Lagrangian model
• Searching for femtoscopic signatures of the $D\bar{D}(I=0)[X(3700)]$ bound state
• 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