Can $Z_{cs}(3985)$ be a molecular state of $\bar{D}_s^*D$ and $\bar{D}_sD^*$ ?

Ming-Zhu Liu; Jun-Xu Lu; Tian-Wei Wu; Ju-Jun Xie; Li-Sheng Geng

Can $Z_{cs}(3985)$ be a molecular state of $\bar{D}_s^D$ and $\bar{D}_sD^$ ?

High Energy Physics - Phenomenology 2020-11-19 v2

Authors: Ming-Zhu Liu , Jun-Xu Lu , Tian-Wei Wu , Ju-Jun Xie , Li-Sheng Geng

Abstract

We study the $Z_{cs}(3985)$ state recently observed by the BESIII Collaboration in the one-boson-exchange model, assuming that it is a $\bar{D}_s^{(*)}D^{(*)}$ molecule, which has the quark content $c\bar{c}s\bar{q}$ with $q = u$ , $d$ . It is shown that the one-boson-exchange potential is too weak to generate dynamcally $\bar{D}_s D$ , $\bar{D}^*_s D$ , and $\bar{D}_sD^*$ states, while for the case of $\bar{D}^*_s D^*$ , very loosely bound states are likely, with binding energies of the order of several MeV. We conclude that, the observed $Z_{cs}(3985)$ state, if confirmed by further experiments, cannot be a pure hadronic molecular state of $\bar{D}_s D^*$ and $\bar{D}_s^*D$ and could consist of large components of compact nature.

Keywords

zcs(3985) hadronic molecule one-boson-exchange model binding energy besiii charmoniumlike state

Cite

@article{arxiv.2011.08720,
  title  = {Can $Z_{cs}(3985)$ be a molecular state of $\bar{D}_s^*D$ and $\bar{D}_sD^*$ ?},
  author = {Ming-Zhu Liu and Jun-Xu Lu and Tian-Wei Wu and Ju-Jun Xie and Li-Sheng Geng},
  journal= {arXiv preprint arXiv:2011.08720},
  year   = {2020}
}

Comments

During the numerical calculation, an unfortunate coding error occurred which mis-identified the exchange of $K$ and $K^*$ mesons, which could not happen. As a result, the OBE potential could not provide a relevant binding mechanism for the $\bar{D}_s^{(*)}D^{(*)}$ systems studied in the present work