Explicit coupled-channel dynamics modifies pole structures and can eliminate or shift higher-lying states in doubly heavy systems, while single-channel models suffice only for near-threshold states like T_cc.
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A survey of heavy-antiheavy hadronic molecules
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abstract
Many efforts have been made to reveal the nature of the overabundant resonant structures observed by the worldwide experiments in the last two decades. Hadronic molecules attract special attention because many of these seemingly unconventional resonances are located close to the threshold of a pair of hadrons. To give an overall feature of the spectrum of hadronic molecules composed of a pair of heavy-antiheavy hadrons, namely, which pairs are possible to form molecular states, we take charmed hadrons for example to investigate the interaction between them and search for poles by solving the Bethe-Salpeter equation. We consider all possible combinations of hadron pairs of the $S$-wave singly-charmed mesons and baryons as well as the narrow $P$-wave charmed mesons. The interactions, which are assumed to be meson-exchange saturated, are described by constant contact terms which are resummed to generate poles. It turns out that if a system is attractive near threshold by the light meson exchange, there is a pole close to threshold corresponding to a bound state or a virtual state, depending on the strength of interaction and the cutoff. In total, 229 molecular states are predicted. The observed near-threshold structures with hidden-charm, like the famous $X(3872)$ and $P_c$ states, fit into the spectrum we obtain. We also highlight a $\Lambda_c\bar \Lambda_c$ bound state that has a pole consistent with the cross section of the $e^+e^-\to\Lambda_c\bar \Lambda_c$ precisely measured by the BESIII Collaboration.
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Chiral symmetry corrections in lattice QCD fits shift the D0*(2300) resonance pole closer to the Dπ threshold and reduce its width, while coupled channels produce a two-pole structure.
Proposes that a K* Ξ molecular state (Λ(2150)) generates a triangle singularity explaining the peak in K- p → K Ξ(1530), with distinct spin density matrix element variations as a testable signature.
A coupled-channel framework is developed and fitted to BESIII data on vector charmonium-like states in the 4.1-4.6 GeV range, concluding that coupled-channel effects with dynamically generated poles explain the line shapes.
A J^P=3/2- hyperon resonance at ~1.9 GeV is added to an effective Lagrangian fit of K- p to K Xi cross sections, with the Lambda* assignment preferred over Sigma* by polarization predictions.
Joint analysis of experimental and lattice data confirms Z_c(3900) and Z_cs(3985) as SU(3) flavor partners with pole masses (3879.6 ± 4.8) MeV and (3976.9 ± 5.1) MeV, half-widths (32.2 ± 4.7) MeV and (28.8 ± 5.9) MeV, both resonances.
Coupled-channel calculations show Pc and Pcs states as molecular bound states with RMS radii 0.5-2 fm when heavy-quark spin symmetry is respected across all channels.
X0(4140) is a dynamically generated J/psi phi pole with single-channel scattering length 1.11 fm; X1(4685) is interpreted as a psi(2S) phi hadronic molecule under heavy quark spin symmetry.
Using nonrelativistic effective field theory, the X(3872) is treated as a D*D molecule to predict radiative decay widths to D D gamma, finding a strong neutral-over-charged hierarchy and quantifying D D rescattering effects.
QCD sum rules predict Λ_c Σ_c hexaquark ground-state masses around 5.8 GeV, above threshold and consistent with no bound state observed by BESIII.
Within the Bethe-Salpeter framework the authors find bound-state solutions for D anti-D pairs under all three coupling sets examined and for Ds anti-Ds pairs only in a restricted region, yielding predicted B+ branching fractions of 1.09e-5 to 2.006e-3 and 1.56e-6 to 4.14e-4 respectively.
citing papers explorer
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Systematic Study of Coupled-Channel Dynamics in Doubly Heavy Hadronic Molecules
Explicit coupled-channel dynamics modifies pole structures and can eliminate or shift higher-lying states in doubly heavy systems, while single-channel models suffice only for near-threshold states like T_cc.
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Analysis of the $D_0^*(2300)$ resonance from lattice QCD under chiral symmetry
Chiral symmetry corrections in lattice QCD fits shift the D0*(2300) resonance pole closer to the Dπ threshold and reduce its width, while coupled channels produce a two-pole structure.
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Exploring $K\Xi^*$ and $K^*\Xi$ molecular states and the triangle singularity in the $K^- p \to K \Xi(1530)$ reaction
Proposes that a K* Ξ molecular state (Λ(2150)) generates a triangle singularity explaining the peak in K- p → K Ξ(1530), with distinct spin density matrix element variations as a testable signature.
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Vector charmonium(-like) states in the energy range of 4.1-4.6 GeV
A coupled-channel framework is developed and fitted to BESIII data on vector charmonium-like states in the 4.1-4.6 GeV range, concluding that coupled-channel effects with dynamically generated poles explain the line shapes.
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A possible $\Sigma^*$ or $\Lambda^*$ resonance with $J^P=3/2^-$ in $K^-p\to K\Xi$ scattering
A J^P=3/2- hyperon resonance at ~1.9 GeV is added to an effective Lagrangian fit of K- p to K Xi cross sections, with the Lambda* assignment preferred over Sigma* by polarization predictions.
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Determination of the $Z_c(3900)$ and the $Z_{cs}(3985)$ states from joint analysis of experimental and lattice data
Joint analysis of experimental and lattice data confirms Z_c(3900) and Z_cs(3985) as SU(3) flavor partners with pole masses (3879.6 ± 4.8) MeV and (3976.9 ± 5.1) MeV, half-widths (32.2 ± 4.7) MeV and (28.8 ± 5.9) MeV, both resonances.
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Study of the molecular Properties of the $P_c$ and $P_{cs}$ States
Coupled-channel calculations show Pc and Pcs states as molecular bound states with RMS radii 0.5-2 fm when heavy-quark spin symmetry is respected across all channels.
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Decoding the near-threshold $X_{0,\,1}(4140)$ and $X_{1}(4685)$ states via OZI-suppressed coupled-channel scattering
X0(4140) is a dynamically generated J/psi phi pole with single-channel scattering length 1.11 fm; X1(4685) is interpreted as a psi(2S) phi hadronic molecule under heavy quark spin symmetry.
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Radiative decays of $X(3872)$ within $D{\bar D}^*$ molecular framework
Using nonrelativistic effective field theory, the X(3872) is treated as a D*D molecule to predict radiative decay widths to D D gamma, finding a strong neutral-over-charged hierarchy and quantifying D D rescattering effects.
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Mass Spectra of $\Lambda_Q\bar{\Sigma}_Q$ Hexaquark States in QCD Sum Rules
QCD sum rules predict Λ_c Σ_c hexaquark ground-state masses around 5.8 GeV, above threshold and consistent with no bound state observed by BESIII.
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Production of $D_s\bar{D}_s$ and $D\bar{D}$ bound states in the $B$ decays within the Bethe-Salpeter framework
Within the Bethe-Salpeter framework the authors find bound-state solutions for D anti-D pairs under all three coupling sets examined and for Ds anti-Ds pairs only in a restricted region, yielding predicted B+ branching fractions of 1.09e-5 to 2.006e-3 and 1.56e-6 to 4.14e-4 respectively.