Strong decays of the isovector-scalar $D^{\ast }{\bar{D}}^{\ast }$ hadronic molecule

Abstract

We adopt the effective Lagrangian approach to study the strong decays of the $1^{-}(0^{++})$ $D^{\ast }{\bar{D}}^{\ast }$ molecular state [denoted as $T_{\psi 0}^a(4010)$ according to the LHCb naming convention] through triangle diagrams. The decay channels include the open-charm $D\bar{D}$, and the hidden-charm ${\eta }_c\pi$, $J/\psi \rho$, and ${\chi }_{c1}\pi$. The coupling between the $T_{\psi 0}^a(4010)$ and its constituents $D^{\ast }{\bar{D}}^{\ast }$ is obtained by solving for the residue of the scattering $T$-matrix at the pole. Our calculations yield a total width of few tens MeV for the $T_{\psi 0}^a(4010)$ state using three different form factors, with its main decay channels being ${\eta }_c\pi$ and ${\chi }_{c1}\pi$. The $X(4100)$ and $X(4050)$ have similar masses and widths, with both masses being close to the $D^{\ast }{\bar{D}}^{\ast }$ threshold. Additionally, their decay final states are consistent with those of the $T_{\psi 0}^a(4010)$. Therefore, it is likely that they represent the same state and both potentially correspond to the $T_{\psi 0}^a(4010)$. We suggest that future experiments focus on searching for the $T_{\psi 0}^a(4010)$ signal in the final states ${\eta }_c{\pi }^{-}$, ${\chi }_{c1}{\pi }^{-}$ and $D^0{D}^{-}$ of the $B^0\to {\eta }_c{\pi }^{-}{K}^{+}$, ${\chi }_{c1}{\pi }^{-}{K}^{+}$ and $D^0{D}^{-}{K}^{+}$ processes, respectively, as well as further investigating its resonance parameters with Flatté-like formula.

arXiv comment11 pages, 6 figures, and 4 tables

References in corpus (49)

• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a charged charmoniumlike structure in e+e- to pi+pi-J/psi at \sqrt{s}=4.26 GeV
• Phenomenology of Heavy Meson Chiral Lagrangians
• 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
• Observation of a charged charmoniumlike structure Z_c(4020) and search for the Z_c(3900) in e+e- to pi+pi-h_c
• Study of the doubly charmed tetraquark $T_{cc}^{+}$
• Consequences of Heavy Quark Symmetries for Hadronic Molecules
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• X(3872) and Other Possible Heavy Molecular States
• Observation of two resonance-like structures in the pi+ chi_c1 mass distribution in exclusive B0-bar --> K- pi+ chi_c1 decays
• 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
• Nonfactorizable contributions in B decays to charmonium: the case of $B^{-}\to K^{-}{h}_c$
• Exploring the molecular scenario of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• Effect of charmed meson loops on charmonium transitions
• Production of the X(3872) in charmonia radiative decays
• Heavy-quark spin and flavour symmetry partners of the X(3872) revisited: what can we learn from the one boson exchange model?
• Prediction of an $I=1$ $D{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(3900)$, $Z_c(3885)$
• $B^{-}\to K^{-}{\chi }_{c0}$ decay from charmed meson rescattering
• Strong decays of the latest LHCb pentaquark candidates in hadronic molecule pictures
• Probing the long-range structure of the $T_{cc}^{+}$ with the strong and electromagnetic decays
• $Z_c(3900)$: what has been really seen?
• Isospin breaking, coupled-channel effects, and X(3872)
• Hidden-charm and hidden-bottom molecular pentaquarks in chiral perturbation theory
• Heavy-quark spin symmetry partners of the $X(3872)$ revisited
• First observation of a doubly charged tetraquark and its neutral partner
• Decay widths of the spin-2 partners of the X(3872)
• Evidence for an ${\eta }_c(1S){\pi }^{-}$ resonance in $B^0\to {\eta }_c(1S)K^{+}{\pi }^{-}$ decays
• Charged bottomonium-like states $Z_b(10610)$ and $Z_b(10650)$ and the ${\rm Y}(5S)\to {\rm Y}(2S){\pi }^{+}{\pi }^{-}$ decay
• Analysis of the hidden-charm tetraquark molecule mass spectrum with the QCD sum rules
• Systematic studies of charmonium-, bottomonium-, and $B_c$-like tetraquark states
• Dipion invariant mass distribution of the anomalous ${\rm Y}(1S){\pi }^{+}{\pi }^{-}$ and ${\rm Y}(2S){\pi }^{+}{\pi }^{-}$ production near the peak of ${\rm Y}(10860)$
• Analysis of the $X(3960)$ and related tetraquark molecular states via the QCD sum rules
• New charged resonance $Z_c^{-}(4100)$: the spectroscopic parameters and width
• Lowest vector tetraquark states: $Y(4260/4220)$ or $Z_c(4100)$
• Spectrum of the molecular pentaquarks
• Productions of $X(3872)$, $Z_c(3900)$, $X_2(4013)$, and $Z_c(4020)$ in $B_{(s)}$ decays offer strong clues on their molecular nature
• Heavy- and light-flavor symmetry partners of the $T_{cc}^{+}(3875)$, the $X(3872)$ and the $X(3960)$ from light-meson exchange saturation
• Prediction of anomalous ${\rm Y}(5S)\to {\rm Y}(1^3{D}_J)\eta$ transitions
• Using $X(3823)\to J/\psi {\pi }^{+}{\pi }^{-}$ to identify coupled-channel effects
• Deciphering the charged heavy quarkoniumlike states in chiral effective field theory
• Spectrum of the molecular tetraquarks: Unraveling the $T_{cs0}(2900)$ and $T_{c\bar{s}0}^a(2900)$
• $Z_c(4100)$ and $Z_c(4200)$ as hadrocharmonium
• Exploring the ${\rm Y}(6S)\to {\chi }_{bJ}\varphi$ and ${\rm Y}(6S)\to {\chi }_{bJ}\omega$ hidden-bottom hadronic transitions
• Spectrum of the molecular hexaquarks
• The spin parity of $Z_c^{-}$(4100), $Z_1^{+}$(4050) and $Z_2^{+}$(4250)