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Effective-range-expansion study of near threshold heavy-flavor resonances
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abstract
In this work we study the resonances near the thresholds of the open heavy-flavor hadrons using the effective-range-expansion method. The unitarity, analyticity and compositeness coefficient are also taken into account in our theoretical formalism. We consider the $Z_c(3900)$, $X(4020)$, $\chi_{c1}(4140)$, $\psi(4260)$ and $\psi(4660)$. The scattering lengths and effective ranges from the relevant elastic $S$-wave scattering amplitudes are determined. Tentative discussions on the inner structures of the aforementioned resonances are given.
Forward citations
Cited by 3 Pith papers
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Composite nature of the $T_{cc}$ state
A CDD-pole fit to the LHCb Tcc line shape yields a compositeness of 0.23, suggesting the Tcc is mostly compact tetraquark rather than a D*D molecule.
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Composite nature of exotic states from data analysis
Compositeness values for X(3872), Zb(10610), Zb(10650), and Tcc are extracted from CDD-pole fits to published spectra; X(3872) is unconstrained (0 to 1), Tcc is found at 0.23 with large errors.
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Coupled-channel approach in hadron-hadron scattering
A self-contained review of unitarity and analyticity based methods for coupled-channel hadron-hadron scattering, with detailed derivations and worked examples.
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