English

$P_{cs}(4459)$ and other possible molecular states from $\Xi_{c}^{(*)}\bar{D}^{(*)}$ and $\Xi'_c\bar{D}^{(*)}$ interactions

High Energy Physics - Phenomenology 2021-10-27 v3

Abstract

Recently, the LHCb Collaboration reported a new structure Pcs(4459)P_{cs}(4459) with a mass of 19 MeV below the ΞcDˉ\Xi_c \bar{D}^{*} threshold. It may be a candidate of molecular state from the ΞcDˉ\Xi_c \bar{D}^{*} interaction. In the current work, we perform a coupled-channel study of the ΞcDˉ\Xi_c^*\bar{D}^*, ΞcDˉ\Xi'_c\bar{D}^*, ΞcDˉ\Xi^*_c\bar{D}, ΞcDˉ\Xi_c\bar{D}^*, ΞcDˉ\Xi'_c\bar{D}, and ΞcDˉ\Xi_c\bar{D} interactions in the quasipotential Bethe-Salpeter equation approach. With the help of the heavy quark chiral effective Lagrangian, the potential is constructed by light meson exchanges. Two ΞcDˉ\Xi_c \bar{D}^{*} molecular states are produced with spin parities JP=1/2 J^P=1/2^- and 3/23/2^- . The lower state with 3/23/2^- can be related to the observed Pcs(4450)P_{cs}(4450) while two-peak structure cannot be excluded. Within the same model, other strange hidden-charm pentaquarks are also predicted. Two states with spin parities 1/21/2^- and 3/23/2^- are predicted near the ΞcDˉ\Xi'_c\bar{D}, ΞcDˉ\Xi_c\bar{D}, and ΞcDˉ\Xi_c^*\bar{D} thresholds, respectively. As two states near ΞcDˉ\Xi_c \bar{D}^{*} threshold, two states are produced with 1/21/2^- and 3/23/2^- near the ΞcDˉ\Xi'_c\bar{D}^* threshold. The couplings of the molecular states to the considered channels are also discussed. The experimental research of those states are helpful to understand the origin and internal structure of the PcsP_{cs} and PcP_c states.

Keywords

Cite

@article{arxiv.2101.12441,
  title  = {$P_{cs}(4459)$ and other possible molecular states from $\Xi_{c}^{(*)}\bar{D}^{(*)}$ and $\Xi'_c\bar{D}^{(*)}$ interactions},
  author = {Jun-Tao Zhu and Lin-Qing Song and Jun He},
  journal= {arXiv preprint arXiv:2101.12441},
  year   = {2021}
}

Comments

7 pages, 2 figures