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Searching for femtoscopic signatures of the $D \bar D (I=0) \ [X(3700)]$ bound state

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arxiv 2503.13668 v2 pith:7TGDDSDW submitted 2025-03-17 hep-ph

classification hep-ph
keywords stateboundcorrelationfemtoscopicfunctionsaffectedamplitudesbehaviors
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The femtoscopic $D \bar D $ correlations correlation functions are investigated to predict the signature of the not-yet-established $X(3700)$ state. Here it is interpreted as a bound state generated by solving the coupled-channel Bethe-Salpeter equations with the local hidden-gauge formalism. We prospect how the relevant properties and observables characterizing this state -- like the pole position, scattering lengths and compositeness -- might be affected by the variation of the parameters of the model. The amplitudes are then used as input into the momentum correlation functions of the $D^0 \bar D^0$ and $D^+ D^- $ pairs. We discuss how their behaviors encode the features of the $X(3700)$ state.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Correlation functions for $n\,\bar{D}_{s1}(2460)$ and $n\,\bar{D}_{s1}(2536)$

    hep-ph 2025-08 conditional novelty 5.0 of 10

    The neutron-D_{s1}(2460) and neutron-D_{s1}(2536) systems are predicted to have bound states, with correlation functions sensitive to the molecular structure of the D_{s1} mesons.

  2. Accessing Exotic Hadronic States via Charmed-Meson Femtoscopy in Relativistic Heavy-Ion Collisions

    nucl-th 2026-05 unverdicted novelty 4.0 of 10

    Simulations indicate that heavy-ion collisions enhance the visibility of charmed-meson femtoscopic correlations compared to pp collisions, providing a probe for exotic hadronic states.

  3. Scattering and Femtoscopic Correlation Functions of the $\Sigma_c^{++}\pi^{+}$, $\Sigma_c^{0}\pi^{-}$ and $\Sigma_b^{+}\pi^{+}$ Systems

    hep-ph 2026-03 conditional novelty 4.0 of 10

    Theoretical predictions show that femtoscopic correlation functions for neutral Σ_c^0 π^- pairs best constrain isotensor strong interactions in charm and bottom sectors, while Coulomb repulsion diminishes discriminati...

  4. Production of $D_s\bar{D}_s$ and $D\bar{D}$ bound states in the $B$ decays within the Bethe-Salpeter framework

    hep-ph 2026-05 unverdicted novelty 3.0 of 10

    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+ branchin...

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