Role of the short-range dynamics in the formation of $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ hadronic molecules

Abstract

We investigate potential hadronic molecular states in the $D^{(\ast )}{\bar{D}}^{(\ast )}$ and $B^{(\ast )}{\bar{B}}^{\ast }$ systems using light meson exchange interactions. Our analysis focuses on coupled-channel systems with spin-parity quantum numbers $J^{PC}=0^{++}$, $1^{+\pm }$ and $2^{++}$, examining how the $\delta (r)$ potential affects states near threshold. Using coupled-channel analysis, we reproduce the $X(3872)$ mass with a given cutoff for the $(I)J^{PC}=(0)1^{++}$ state, finding a minimal impact from the $\delta (r)$ term. At this cutoff, both the $(0)0^{++}$ state near the $D\bar{D}$ threshold and the $(0)1^{+-}$ state near the $D{\bar{D}}^{\ast }$ threshold show less sensitivity to the $\delta (r)$ term compared to the three states-$(0)0^{++}$, $(0)1^{+-}$, and $(0)2^{++}$-near the $D^{\ast }{\bar{D}}^{\ast }$ threshold. As anticipated, the $B^{(\ast )}{\bar{B}}^{\ast }$ systems exhibit similar behavior but with stronger binding due to their larger reduced mass. These findings suggest promising directions for future experimental searches, particularly in the isoscalar sector, which could substantially advance our understanding of exotic tetraquark states.

11 pages, 6 figures

References in corpus (67)

• Multiquark Resonances
• Pentaquark and Tetraquark states
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• An updated review of the new hadron states
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Dynamically Generated Open and Hidden Charm Meson Systems
• Evidence of a $J/\psi \Lambda$ structure and observation of excited ${\Xi }^{-}$ states in the ${\Xi }_b^{-}\to J/\psi \Lambda K^{-}$ decay
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• A survey of heavy-heavy hadronic molecules
• X(3872) and Other Possible Heavy Molecular States
• Is the X(3872) Production Cross Section at Tevatron Compatible with a Hadron Molecule Interpretation?
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?
• Is X(3872) {\sl Really} a Molecular State?
• Is X(3872) a molecule?
• Observation of a new charged charmoniumlike state in B -> J/psi K pi decays
• Search for new charmonium states in the processes e+ e- --> J/psi D(*) D(*) at sqrt{s} ~ 10.6 GeV
• Reconciling the X(3872) with the near-threshold enhancement in the D^0\bar{D}^{*0} final state
• Axial Resonances in the Open and Hidden Charm Sectors
• Observation of a $J/\psi \Lambda$ resonance consistent with a strange pentaquark candidate in $B^{-}\to J/\psi \Lambda \bar{p}$ decays
• Hadron Loops: General Theorems and Application to Charmonium
• Isospin breaking effects in the X(3872) resonance
• Explaining the Many Threshold Structures in the Heavy-Quark Hadron Spectrum
• $Z_b$ and $Z_c$ Exotic States as Coupled Channel Cusps
• Establishing the first hidden-charm pentaquark with strangeness
• Hadronic Decays of the X(3872) to chi_{cJ} in Effective Field Theory
• Possible S-wave Bound-States of Two Pseudoscalar Mesons
• Revisiting the nature of the $P_c$ pentaquarks
• Charmonium-like resonances with $J^{PC}=0^{++},2^{++}$ in coupled $D\bar{D}$, $D_s{\bar{D}}_s$ scattering on the lattice
• Amplitude analysis of e+e- => Y(nS)pi+pi- at sqrt(s)=10.865 GeV
• The $P_{cs}(4459)$ pentaquark from a combined effective field theory and phenomenological perspective
• Strange molecular partners of the $Z_c(3900)$ and $Z_c(4020)$
• Molecular nature of $P_{cs}(4459)$ and its heavy quark spin partners
• Novel Method for Precisely Measuring the $X(3872)$ Mass
• Hidden charm dynamically generated resonances and the $e^{+}{e}^{-}\to J/\psi D\bar{D}$, $J/\psi D{\bar{D}}^{\ast }$ reactions
• Can the newly $P_{cs}(4459)$ be a strange hidden-charm ${\Xi }_c{\bar{D}}^{\ast }$ molecular pentaquarks?
• Can discovery of hidden charm strange pentaquark states help determine the spins of $P_c(4440)$ and $P_c(4457)$?
• Analysis of the $P_{cs}(4459)$ as the hidden-charm pentaquark state with QCD sum rules
• Coupled-channel effects of the ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}$-${\Lambda }_c(2595)\bar{D}$ system and molecular nature of the $P_c$ pentaquark states from one-boson exchange model
• Analysis of the hidden-charm tetraquark molecule mass spectrum with the QCD sum rules
• Remarks on the study of the X(3872) from Effective Field Theory with Pion-Exchange Interaction
• Strong decays of the newly $P_{cs}(4459)$ as a strange hidden-charm ${\Xi }_c{\bar{D}}^{\ast }$ molecule
• From the lineshape of the $X(3872)$ to its structure
• A new look at the $P_{cs}$ states from a molecular perspective
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• Note on X(3872) production at hadron colliders and its molecular structure
• New strange pentaquarks
• The double thresholds distort the lineshapes of the $P_{\psi s}^{\Lambda }(4338{)}^0$ resonance
• Analysis of the $\mathbf{\gamma \gamma }\to \mathbf{D}\bar{\mathbf{D}}$ reaction and the $D\bar{D}$ bound state
• Pole determination of $P_{\psi s}^{\Lambda }(4338)$ and possible $P_{\psi s}^{\Lambda }(4255)$ in $B^{-}\to J/\psi \Lambda \bar{p}$
• A combined analysis of the $Z_c(3900)$ and the $Z_{cs}(3985)$ exotic states
• Exotic double-charm molecular states with hidden or open strangeness and around $4.5\sim 4.7$ GeV
• Search for the $X_b$ and other hidden-beauty states in the ${\pi }^{+}{\pi }^{-}{\rm Y}(1\mathrm{S})$ channel at ATLAS
• The study of $\gamma \gamma \to \gamma \psi (2S)$ at Belle
• $X(3872)$, $X_b$, and the ${\chi }_{b1}(3P)$ state
• Searching for a $D\bar{D}$ bound state with the $\psi (3770)\to \gamma D^0{\bar{D}}^0$ decay
• Observation of sizeable $\omega$ contribution to ${\chi }_{c1}(3872)\to {\pi }^{+}{\pi }^{-}J/\psi$ decays
• New insight into the exotic states strongly coupled with the $D{\bar{D}}^{\ast }$ from the $T_{cc}^{+}$
• Anticharmed strange pentaquarks from the one-boson-exchange model
• $D^{\pm }{D}^{\ast \mp }$ Hadronic Atom as a Key to Revealing the $X(3872)$ Mystery
• Radiative and pionic transitions $Z_c(4020{)}^0\to X(3872)\gamma$ and $Z_c(4020{)}^{\pm }\to X(3872){\pi }^{\pm }$
• Production of the $X(4014)$ as the spin-2 partner of $X(3872)$ in $e^{+}{e}^{-}$ collisions
• $\sigma$ exchange in the one-boson exchange model involving the ground state octet baryons
• Dispersive analysis of the isospin breaking in the $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ and $X(3872)\to J/\psi {\pi }^{+}{\pi }^0{\pi }^{-}$ decays
• Double pole structures of $X_1(2900)$ as the $P$-wave ${\bar{D}}^{\ast }{K}^{\ast }$ resonances
• Molecular $P_{\psi }$ pentaquarks from light-meson exchange saturation
• Establishing the vector-meson-exchange dominance for the short range interactions of light quarks

Cited by in corpus (1)

• Role of the short-range dynamics in simultaneous interpretation of $P_{cs}$ pentaqurks via ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ molecules