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, $X_0(3960)$.

arXiv comment9 pages, 4 figures

References in corpus (23)

• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\sigma ,f_0(980),a_0(980)$ scalar mesons
• Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
• N/D Description of Two Meson Amplitudes and Chiral Symmetry
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Dynamically Generated Open and Hidden Charm Meson Systems
• Couplings in coupled channels versus wave functions: application to the X(3872) resonance
• A survey of heavy-heavy hadronic molecules
• Amplitude analysis of the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decay
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Model-independent study of structure in $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decays
• Light Flavour and Heavy Quark Spin Symmetry in Heavy Meson Molecules
• Hidden gauge formalism for the radiative decays of axial-vector mesons
• A new interpretation for the $D_{s2}^{\ast }(2573)$ and the prediction of novel exotic charmed mesons
• Molecular picture for the $X_0(2866)$ as a $D^{\ast }{\bar{K}}^{\ast }$ $J^P=0^{+}$ state and related $1^{+},2^{+}$ states
• Charmonium-like resonances with $J^{PC}=0^{++},2^{++}$ in coupled $D\bar{D}$, $D_s{\bar{D}}_s$ scattering on the lattice
• Charm-beauty meson bound states from $B(B^{\ast })D(D^{\ast })$ and $B(B^{\ast })\bar{D}({\bar{D}}^{\ast })$ interaction
• Prediction of new $T_{cc}$ states of $D^{\ast }{D}^{\ast }$ and $D_s^{\ast }{D}^{\ast }$ molecular nature
• Analysis of the $\mathbf{\gamma \gamma }\to \mathbf{D}\bar{\mathbf{D}}$ reaction and the $D\bar{D}$ bound state
• Unveiling the $K_1(1270)$ double-pole structure in the $\bar{B}\to J/\psi \rho \bar{K}$ and $\bar{B}\to J/\psi {\bar{K}}^{\ast }\pi$ decays
• The role of $f_0(1710)$ in the $\varphi \omega$ threshold peak of $J/\Psi \to \gamma \varphi \omega$
• Three methods to detect the predicted $D\bar{D}$ scalar meson X(3700)

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