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Inverse problem in femtoscopic correlation functions: The T_(cc)(3875)^+ state
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Inverse problem in femtoscopic correlation functions: The T_(cc)(3875)^+ state
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We study here the inverse problem of starting from the femtoscopic correlation functions of related channels and analyze them with an efficient tool to extract the maximum information possible on the interaction of the components of these channels, and the existence of possible bound states tied to this interaction. The method is flexible enough to accommodate non-molecular components and the effect of missing channels relevant for the interaction. We apply the method to realistic correlation functions for the $D^{*+}D^0$ and $D^{*0}D^+$ channels derived consistently from the properties of the $T_{cc}(3875)^+$ and find that we can extract the existence of a bound state, its nature as a molecular state of the $D^{*+}D^0$ and $D^{*0}D^+$ channels, the probabilities of each channel, as well as scattering lengths and effective ranges for the channels, together with the size of the source function, all of them with a relatively good precision.
Forward citations
Cited by 4 Pith papers
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$KX(3872)$ interaction and correlation function
A unitarized fixed-center approximation predicts a narrow KX(3872) bound state 50 MeV below threshold and a characteristic femtoscopic correlation function.
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Probing the hadronic molecular nature of the $\Omega(2012)$, $\Omega(2380)$, and $\Omega_c(3120)$ via femtoscopy correlation functions
Correlation function calculations with coupled-channel potentials produce low-momentum enhancements that the authors interpret as signatures of the molecular structure of Ω(2012), Ω(2380), and Ωc(3120).
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Probing the hadronic molecular nature of the $\Omega(2012)$, $\Omega(2380)$, and $\Omega_c(3120)$ via femtoscopy correlation functions
Numerical correlation functions computed from effective potentials exhibit enhancements that indicate the hadronic molecular nature of the Ω(2012), Ω(2380), and Ωc(3120) resonances.
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Accessing Exotic Hadronic States via Charmed-Meson Femtoscopy in Relativistic Heavy-Ion Collisions
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.
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