Comparison of molecular and compact states for the 𝑻 cc (3875) and 𝑿 (3872)
L.Ā Dai*, E.Ā Oset and J.Ā Song
*: corresponding author
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Pre-published on: February 07, 2025
Published on: March 25, 2025
Abstract
The dilemma between molecular states and compact quark states is the subject of a continuous debate in hadron physics. We explore this important question from a novel and different perspective. In this talk, firstly we present our recent work on $T_{\rm cc}(3875)$ state [Phys Lett B 846 (2023) 138200], in which the general formalism is developed in the single-channel calculation, we derive the molecular probability, the scattering length and effective range. We find that the binding energy by itself cannot give a proof of the nature of the state, which clarify the previous conclusion on this important issue.
Secondly, we make an extension to the coupled-channel calculation for $X(3872)$ state [Phys Rev D 108 (2023) 114017]. The calculated results are discussed in different scenarios. Compared with the available experimental information, we find that the unavoidable molecular nature of these two states are dominated.
DOI: https://doi.org/10.22323/1.465.0054
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