The $X(3960)$ seen in $D_s^{+}{D}_s^{-}$ as the $X(3930)$ state seen in $D^{+}{D}^{-}$

Abstract

We perform a calculation of the interaction of the $D\bar{D}$, $D_s{\bar{D}}_s$ coupled channels and find two bound states, one coupling to $D\bar{D}$ and another one at higher energies coupling mostly to $D_s^{+}{D}_s^{-}$. We identify this latter state with the $X_0(3930)$ seen in the $D^{+}{D}^{-}$ mass distribution in the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decay, and also show that it produces an enhancement of the $D_s^{+}{D}_s^{-}$ mass distribution close to threshold which is compatible with the LHCb recent observation in the $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$ decay which has been identified as a new state, $X_0(3960)$.

9 pages, 4 figures

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• Dynamically Generated Open and Hidden Charm Meson Systems
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Cited by in corpus (10)

• Understanding the $0^{++}$ and $2^{++}$ charmonium(-like) states near 3.9 GeV
• Resonance $X(3960)$ as a hidden charm-strange scalar tetraquark
• On the nature of X(3960)
• 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
• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• Study of the $B^{-}\to K^{-}\eta {\eta }_c$ decay due to the $D\bar{D}$ bound state
• The ground states of hidden-charm tetraquarks and their radial excitations
• Near-threshold structures in the $D_s^{+}{D}_s^{-}$ mass distribution of the decay $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$
• Exotic hadrons associated with $b$-quark