English

Hidden charm pentaquark with strangeness $P_{cs}^*(4739)$ as a $\Sigma_{c}\bar{D}\bar{K}$ bound state

High Energy Physics - Phenomenology 2021-06-23 v1 High Energy Physics - Experiment High Energy Physics - Lattice

Abstract

Motivated by the recent discovery of the first hidden charm pentaquark state with strangeness Pcs(4459)P_{cs}(4459) by the LHCb Collaboration, we study the likely existence of a three-body ΣcDˉKˉ\Sigma_{c}\bar{D}\bar{K} bound state, which shares the same minimal quark content as Pcs(4459)P_{cs}(4459). The ΣcDˉ\Sigma_{c}\bar{D} and DKDK interactions are determined by reproducing Pc(4312)P_c(4312) and Ds0(2317)D_{s0}^*(2317) as ΣcDˉ\Sigma_c\bar{D} and DˉKˉ\bar{D}\bar{K} molecules, respectively, while the ΣcKˉ\Sigma_c\bar{K} interaction is constrained by chiral effective theory. We indeed find a three-body bound state by solving the Schr\"odinger equation using the Gaussian Expansion Method, which can be viewed as an excited hidden charm pentaquark state with strangeness, Pcs(4739)P_{cs}^*(4739), with I(JP)=1(1/2+)I(J^P)=1(1/2^+) and a binding energy of 77.810.3+2577.8^{+25}_{-10.3} MeV. We further study its strong decays via triangle diagrams and show that its partial decay widths into DΞcD\Xi_c' and DsΣcD_s^*\Sigma_c are of a few ten's MeV, with the former being dominant.

Keywords

Cite

@article{arxiv.2106.11450,
  title  = {Hidden charm pentaquark with strangeness $P_{cs}^*(4739)$ as a $\Sigma_{c}\bar{D}\bar{K}$ bound state},
  author = {Tian-Wei Wu and Ya-Wen Pan and Ming-Zhu Liu and Jun-Xu Lu and Li-Sheng Geng and Xiao-Hai Liu},
  journal= {arXiv preprint arXiv:2106.11450},
  year   = {2021}
}

Comments

17 pages, 4 figures