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arxiv: 1812.07323 · v2 · pith:AZTPONUCnew · submitted 2018-12-18 · ✦ hep-ph

Effective-range-expansion study of near threshold heavy-flavor resonances

classification ✦ hep-ph
keywords resonanceseffective-range-expansionheavy-flavornearscatteringaccountaforementionedamplitudes
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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.

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