Heavy- and light-flavor symmetry partners of the $T_{cc}^{+}(3875)$, the $X(3872)$ and the $X(3960)$ from light-meson exchange saturation

Abstract

The spectrum of the charmed meson-(anti)meson system is a fundamental tool for disentangling the nature of a few exotic hadrons, including the recently discovered $T_{cc}^{+}(3875)$ tetraquark, the $X(3960)$, or the $X(3872)$, the nature of which is still not clear after almost two decades of its discovery. Here we consider that the charmed meson-(anti)meson short-range interaction is described by the exchange of light-mesons ($\sigma$, $\rho$, $\omega$). The effects of light-meson exchanges are recast into a simple contact-range theory by means of a saturation procedure, resulting in a compact description of the two-hadron interaction. From this, if the $T_{cc}^{+}$ were to be an isoscalar $D^{\ast }D$ molecule, then there should exist an isoscalar $J=1$ $D^{\ast }{D}^{\ast }$ partner, as constrained by heavy-quark spin symmetry. Yet, within our model, the most attractive two charmed meson configurations are the isovector $J=0$ $D^{\ast }{D}^{\ast }$ molecule and its sextet $D_s^{\ast }{D}^{\ast }$ and $D_s^{\ast }{D}_s^{\ast }$ flavor partners. Finally, we find a tension between the molecular descriptions of the $T_{cc}^{+}$ and that of the $X(3872)$ and $X(3960)$, where most parameter choices suggest that if the $T_{cc}^{+}$ is purely molecular then the $X(3872)$ overbinds (or conversely, if the $X(3872)$ is a molecule the $T_{cc}^{+}$ does not bind). This might be consequential for determining the nature of these states.

13 pages, 4 tables, corresponds with published version

References in corpus (46)

• Observation of an exotic narrow doubly charmed tetraquark
• Discovery of doubly-charmed Xi_{cc} baryon implies a stable (b b ubar dbar) tetraquark
• Study of the doubly charmed tetraquark $T_{cc}^{+}$
• 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)
• QCD sum rules study of $QQ-\bar{u}\bar{d}$ mesons
• Coupled-channel approach to $T_{cc}^{+}$ including three-body effects
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• Production of $X(3872)$ at High Multiplicity
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• 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
• Heavy-hadron molecules from light-meson-exchange saturation
• Molecular Interpretation of $X(3960)$ as $D_s^{+}{D}_s^{-}$ State
• Axial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules
• The study of $\gamma \gamma \to \gamma \psi (2S)$ at Belle
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• Heavy-hadron molecular spectrum from light-meson exchange saturation
• Understanding the $0^{++}$ and $2^{++}$ charmonium(-like) states near 3.9 GeV
• Production rates of $D_s^{+}{D}_s^{-}$ and $D\bar{D}$ molecules in $B$ decays
• Hadronic decays of the heavy-quark-spin molecular partner of $T_{cc}^{+}$
• Resonance $X(3960)$ as a hidden charm-strange scalar tetraquark
• On the nature of X(3960)
• Influence of Meson's Widths on Yukawa-like Potentials and Lattice Correlation Functions
• Shedding light on the $X(3930)$ and $X(3960)$ states with the $B^{-}\to K^{-}J/\psi \omega$ reaction

Cited by in corpus (11)

• Production of exotic hadrons in $pp$ and nuclear collisions
• Electromagnetic properties of the $T_{cc}^{+}$ molecular states
• Spectroscopic Properties of Double-Strangeness Molecular Tetraquarks
• Constraining the $DD{D}^{\ast }$ three-body bound state via the $Z_c(3900)$ pole
• ${\bar{B}}^0\to {\bar{K}}^{(\ast )0}X$, $B^{-}\to K^{(\ast )-}X$, ${\bar{B}}_s^0\to \eta ({\eta }^{\prime },\varphi )X$ from the $X(3872)$ molecular perspective
• Study of the $B^{-}\to K^{-}\eta {\eta }_c$ decay due to the $D\bar{D}$ bound state
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• An alternative way to decipher the nature of the doubly charmed tetraquark $T_{cc}(3875{)}^{+}$: its antiparticle $T_{\bar{c}\bar{c}}(3875{)}^{-}$ photoproduction off nuclei near threshold
• Low-energy $N\varphi$ scattering from a pole-enhanced triangle diagram
• Strong decays of the isovector-scalar $D^{\ast }{\bar{D}}^{\ast }$ hadronic molecule
• Decoding the near-threshold $X_{0,1}(4140)$ and $X_1(4685)$ states via OZI-suppressed coupled-channel scattering