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

Rui Gao; Zhi-Hui Guo; Xian-Wei Kang; J. A. Oller

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

High Energy Physics - Phenomenology 2019-07-04 v2

Authors: Rui Gao , Zhi-Hui Guo , Xian-Wei Kang , J. A. Oller

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.

Keywords

effective range expansion heavy-flavor resonances unitarity compositeness scattering length s-wave scattering

Cite

@article{arxiv.1812.07323,
  title  = {Effective-range-expansion study of near threshold heavy-flavor resonances},
  author = {Rui Gao and Zhi-Hui Guo and Xian-Wei Kang and J. A. Oller},
  journal= {arXiv preprint arXiv:1812.07323},
  year   = {2019}
}

Comments

10 pages. Comparisons with other ways to define the compositeness are included. To match the published version

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

Abstract

Keywords

Cite

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