Production rates of $D_s^{+}{D}_s^{-}$ and $D\bar{D}$ molecules in $B$ decays

Abstract

Motivated by the recent discovery of a charmonium $X(3960)$ in $B$ decays by the LHCb Collaboration, the likely existence of two bound/virtual states (denoted by $X_{s\bar{s}}$ and $X_{q\bar{q}}$) below the $D_s^{+}{D}_s^{-}$ and $\bar{D}D$ mass thresholds has been re-examined recently. In this work, we employ the effective Lagrangian approach to calculate their production rates in $B$ decays utilizing triangle diagrams. Our results show that the production yields of $B^{+}\to X_{s\bar{s}}{K}^{+}$ and $B^{+}\to X_{q\bar{q}}{K}^{+}$ are of the order of $10^{-4}$, in agreement with the relevant experimental data, which indicates that, if the $D_s^{+}{D}_s^{-}$ and $\bar{D}D$ bound states indeed exist, they can be detected in $B$ decays. Moreover, we calculate the production rate of $B^{+}\to X(3960)K^{+}$ assuming that $X(3960)$ is a resonant state of $D_s^{+}{D}_s^{-}$ and find that it is also of the order of $10^{-4}$ but a bit smaller than that as a $D_s^{+}{D}_s^{-}$ bound state.

arXiv commentaccepted for publication in PRD

References in corpus (44)

• Higher Charmonia
• FLAG Review 2019
• Experimental Tests of Factorization in Charmless Non-Leptonic Two-Body B Decays
• Final State Interactions in Hadronic B Decays
• Observation of a near-threshold omega-J/psi mass enhancement in exclusive B-->K omega J/psi decays
• Dynamically Generated Open and Hidden Charm Meson Systems
• Higher Charmonia and X,Y,Z states with Screened Potential
• Amplitude analysis of the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decay
• Nucleon electromagnetic form factors
• Strong and radiative decays of the Ds0*(2317) meson in the DK-molecule picture
• Model-independent study of structure in $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decays
• Decay constants and form factors of s-wave and p-wave mesons in the covariant light-front quark model
• Observation of Y(3940) -> J/psi omega in B -> J/psi omega K at BABAR
• Precision tests of the J/ψ from full lattice QCD: mass, leptonic width and radiative decay rate to η_c
• Observation of a charmonium-like enhancement in the gamma gamma --> omega J/psi process
• Heavy-quark spin and flavour symmetry partners of the X(3872) revisited: what can we learn from the one boson exchange model?
• Quarkonium as relativistic bound state on the light front
• Branching Ratios and Polarization in B-> VV,VA,AA Decays
• Study of X(3915) --> J/ψω in two-photon collisions
• Can we understand the decay width of the $T_{cc}^{+}$ state?
• Charmonium-like resonances with $J^{PC}=0^{++},2^{++}$ in coupled $D\bar{D}$, $D_s{\bar{D}}_s$ scattering on the lattice
• Branching ratios and direct CP asymmetries in $D\to PV$ decays
• Hadronic molecules in B decays
• Electromagnetic structure of charmed baryons in Lattice QCD
• Ds0*(2317) and Ds1(2460) mesons in two-body B-meson decays
• Non-leptonic two-body weak decays of ${\Lambda }_c(2286)$
• Production of $P_c$ states from ${\Lambda }_b$ decay
• Dirac and Pauli form factors from lattice QCD
• $F_K/F_{\pi }$ from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles
• Establishing the heavy quark spin and light flavor molecular multiplets of the $X(3872)$, $Z_c(3900)$ and $X(3960)$
• Analysis of the $X(3960)$ and related tetraquark molecular states via the QCD sum rules
• Analysis of the $\mathbf{\gamma \gamma }\to \mathbf{D}\bar{\mathbf{D}}$ reaction and the $D\bar{D}$ bound state
• Rescattering mechanism of weak decays of double-charm baryons
• Excited $K$ meson, $K_c(4180)$, with hidden charm as a $D\bar{D}K$ bound state
• $X(3915)$ as a $D_s{\bar{D}}_s$ bound state
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• $B^0\to D^0{\bar{D}}^0{K}^0$, $B^{+}\to D^0{\bar{D}}^0{K}^{+}$ and the scalar $D\bar{D}$ bound state
• Heavy-hadron molecular spectrum from light-meson exchange saturation
• Is $X(7200)$ the heavy anti-quark diquark symmetry partner of $X(3872)$?
• Dispersive analysis of the $\gamma \gamma \to D\bar{D}$ data and the confirmation of the $D\bar{D}$ bound state
• Leptonic decay-constant ratio $f_K/f_{\pi }$ from lattice QCD using 2+1 clover-improved fermion flavors with 2-HEX smearing
• Role of the newly measured $B\to KD\bar{D}$ process to establish ${\chi }_{c0}(2P)$ state
• Search for hidden-charm pentaquark states in three-body final states
• $Z_{cs}(3985)$ in next-to-leading-order chiral effective field theory -- the first truncation uncertainty analysis

Cited by in corpus (8)

• Heavy- and light-flavor symmetry partners of the $T_{cc}^{+}(3875)$, the $X(3872)$ and the $X(3960)$ from light-meson exchange saturation
• Understanding the $0^{++}$ and $2^{++}$ charmonium(-like) states near 3.9 GeV
• Resonance $X(3960)$ as a hidden charm-strange scalar tetraquark
• Shedding light on the $X(3930)$ and $X(3960)$ states with the $B^{-}\to K^{-}J/\psi \omega$ reaction
• 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
• 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 $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$