Study of the $B^{-}\to K^{-}\eta {\eta }_c$ decay due to the $D\bar{D}$ bound state

Abstract

We study the $B^{-}\to K^{-}\eta {\eta }_c$ decay by taking into account the $S$-wave contributions from the pseudoscalar meson-pseudoscalar meson interactions within the unitary coupled-channel approach, where the $D\bar{D}$ bound state is dynamically generated. In addition, the contribution from the intermediate resonance $K_0^{\ast }(1430{)}^{-}$, with $K_0^{\ast }(1430{)}^{-}\to K^{-}\eta$, is also considered. Our results show that there is a clear peak around $3720$~MeV in the $\eta {\eta }_c$ invariant mass distribution, which could be associated with the $D\bar{D}$ bound state. The future precise measurements of the $B^{-}\to K^{-}\eta {\eta }_c$ process at the Belle II and LHCb experiments could be, therefore, used to check the existence of the $D\bar{D}$ bound state, and to deepen our understanding of the hadron-hadron interactions.

arXiv comment14 pages, 9 figures

References in corpus (49)

• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Hadronic molecules
• The Belle II Physics Book
• Experimental Tests of Factorization in Charmless Non-Leptonic Two-Body B Decays
• Dynamically Generated Open and Hidden Charm Meson Systems
• Evidence for a Narrow Near-Threshold Structure in the $J/\psi \varphi$ Mass Spectrum in $B^{+}\to J/\psi \varphi K^{+}$ Decays
• A survey of heavy-heavy hadronic molecules
• Amplitude analysis of the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decay
• Observation of new resonances decaying to $J/\psi K^{+}$ and $J/\psi \varphi$
• Model-independent study of structure in $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decays
• The Y(3940), Z(3930) and the X(4160) as dynamically generated resonances from the vector-vector interaction
• Search for the X(4140) state in B+->J/psi phi K+ decays with the D0 detector
• Observation of the chi_c2(2P) meson in the reaction gamma gamma -> D Dbar at BABAR
• On the hidden charm state at 3872 MeV
• Charmonium-like resonances with $J^{PC}=0^{++},2^{++}$ in coupled $D\bar{D}$, $D_s{\bar{D}}_s$ scattering on the lattice
• Mass spectra of Zc and Zb exotic states as hadron molecules
• Observation of an alternative ${\chi }_{c0}(2P)$ candidate in $e^{+}{e}^{-}\to J/\psi D\bar{D}$
• Hadronic molecules in B decays
• 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)
• Role of scalar $a_0(980)$ in the single Cabibbo Suppressed process $D^{+}\to {\pi }^{+}{\pi }^0\eta$
• Observation of a resonant structure near the $D_s^{+}{D}_s^{-}$ threshold in the $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$ decay
• Analysis of the $X(3960)$ and related tetraquark molecular states via the QCD sum rules
• The scalar $f_0(500)$ and $f_0(980)$ resonances and vector mesons in the single Cabibbo-suppressed decays ${\Lambda }_c\to p{K}^{+}{K}^{-}$ and $p{\pi }^{+}{\pi }^{-}$
• Molecular Interpretation of $X(3960)$ as $D_s^{+}{D}_s^{-}$ State
• Analysis of the $\mathbf{\gamma \gamma }\to \mathbf{D}\bar{\mathbf{D}}$ reaction and the $D\bar{D}$ bound state
• Direct CP violation in beauty and charm hadron decays
• Analysis of the $B^{+}\to J/\psi \varphi K^{+}$ data at low $J/\psi \varphi$ invariant masses and the $X(4140)$ and $X(4160)$ resonances
• 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
• 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
• Heavy- and light-flavor symmetry partners of the $T_{cc}^{+}(3875)$, the $X(3872)$ and the $X(3960)$ from light-meson exchange saturation
• Three methods to detect the predicted $D\bar{D}$ scalar meson X(3700)
• The resonances $X(4140)$, $X(4160)$, and $P_{cs}(4459)$ in the decay of ${\Lambda }_b\to J/\psi \Lambda \varphi$
• The $B^{+}\to J/\psi \omega K^{+}$ reaction and $D^{\ast }{\bar{D}}^{\ast }$ molecular states
• 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
• Production rates of $D_s^{+}{D}_s^{-}$ and $D\bar{D}$ molecules in $B$ decays
• Dispersive analysis of the $\gamma \gamma \to D\bar{D}$ data and the confirmation of the $D\bar{D}$ bound state
• The $a_0(980)$ in the single Cabibbo-suppressed process ${\Lambda }_c\to {\pi }^0\eta p$
• The roles of the $T_{c\bar{s}0}(2900{)}^0$ and $D_0^{\ast }(2300)$ in the process $B^{-}\to D_s^{+}{K}^{-}{\pi }^{-}$
• Search for B decays to final states with the eta_c meson
• Role of the scalar $f_0(980)$ in the process $D_s^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$
• Connection between near the $D_s^{+}{D}_s^{-}$ threshold enhancement in $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$ and conventional charmonium ${\chi }_{c0}(2P)$
• On the nature of X(3960)
• Searching for tetraquark through weak decays of b-baryons
• $D^{+}{D}^{-}$ hadronic atom and its production in $pp$ and $p\bar{p}$ collisions

Cited by in corpus (3)

• Theoretical study of $N(1535)$ and ${\Sigma }^{\ast }(1/2^{-})$ in the Cabibbo-favored process ${\Lambda }_c^{+}\to p{\bar{K}}^0\eta$
• Roles of the $N(1535)$ and $a_0(980)$ in the process ${\Lambda }_c^{+}\to {\pi }^{+}\eta n$
• The $B^{-}\to J/\psi {\eta }^{\prime }{K}^{-}$ reaction and the $Y(4710)$ and $K_0^{\ast }(1430)$ contributions