English

Heavy quark spin multiplet structure of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$

High Energy Physics - Phenomenology 2019-04-02 v1 Nuclear Theory

Abstract

Very recently, the LHCb collaboration has reported the new result about the hidden-charm pentaquarks: Pc(4312)P_c(4312) near the DˉΣc\bar{D}\Sigma_c threshold, and Pc(4440)P_c(4440) and Pc(4457)P_c(4457) near DˉΣc\bar{D}^*\Sigma_c threshold. We study the heavy quark spin (HQS) multiplet structures of these newly PcP_c pentaquarks under the heavy quark spin symmetry based on the hadronic molecular picture. We point out that Pc(4312)P_c(4312) is the JP=1/2J^P = 1/2^- member of an HQS triplet, and Pc(4440)P_c(4440) and Pc(4457)P_c(4457) are the JP=3/2J^P = 3/2^- member of the HQS triplet and an HQS singlet with JP=3/2J^P = 3/2^-. Namely, the Pc(4312)P_c(4312) and one of Pc(4440)P_c(4440) and Pc(4457)P_c(4457) belong to an HQS triplet. The HQS multiplet structure predicts the existence of JP=5/2J^P = 5/2^- state near DˉΣc\bar{D}^\ast\Sigma_c^\ast threshold.

Keywords

Cite

@article{arxiv.1904.00587,
  title  = {Heavy quark spin multiplet structure of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$},
  author = {Yuki Shimizu and Yasuhiro Yamaguchi and Masayasu Harada},
  journal= {arXiv preprint arXiv:1904.00587},
  year   = {2019}
}

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4 pages