Pole structure and compositeness of TbbÌ…1(10650)+ via the uniformized S-matrix
Abstract
We probe the TbbÌ…1(10650)+ resonance state by employing the uniformized S-matrix to demonstrate that the exotic meson can be characterized by multiple distinct pole structures, each leading to fundamentally different physical interpretations. Through residue analysis and the Weinberg compositeness criterion, we investigated the internal structure of the hadronic resonance for a given pole structure. Our results reveal that both an isolated pole on the [bb] sheet and a pole-shadow pair in the [bb] and [tb] sheets can effectively mimic the line shape of the empirical data for the TbbÌ…1(10650)+ state. The isolated pole configuration hints a predominantly molecular nature, while the pole-shadow pair configuration points to a predominantly compact tetraquark state.
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