Molecular states in {\boldsymbol{D_s((*)+}) \boldsymbol{\Xi_c((',*)}}) systems

The possible hadronic molecules in $ D_s^{(*)+}\Xi_c^{(',*)} $ systems with $ J^P=1/2^-,3/2^- $ , and $ 5/2^- $ are investigated with interactions described by light meson exchanges. By varying the cutoff in a phenomenologically reasonable range of $1- 2.5$ GeV, we find ten near-threshold (bound or virtual) states in the single-channel case. After introducing the coupled-channel dynamics of $ D_s^{+}\Xi_c $ - $ D_s^{+}\Xi_c^{'} $ - $ D_s^{*+}\Xi_c $ - $ D_s^{+}\Xi_c^{*} $ - $ D_s^{*+}\Xi_c^{'} $ - $ D_s^{*+}\Xi_c^{*} $ systems, these states, except those below the lowest channels in each $ J^{P} $ sector, move into the complex energy plane and become resonances in the mass range $4.43-4.76$ GeV. Their spin-parities and nearby thresholds are $ 1/2^-(D_s^{+}\Xi_c) $ , $ 1/2^-(D_s^{+}\Xi_c^{'}) $ , $ 1/2^-(D_s^{*+}\Xi_c) $ , $ 1/2^-(D_s^{*+}\Xi_c^{'}) $ , $ 1/2^-(D_s^{*+}\Xi_c^{*}) $ , $ 3/2^-(D_s^{*+}\Xi_c) $ , $ 3/2^-(D_s^{+}\Xi_c) $ , $ 3/2^-(D_s^{*+}\Xi_c^{'}) $ , $ 3/2^-(D_s^{*+}\Xi_c^{*}) $ , and $ 5/2^-(D_s^{*+}\Xi_c^{*}) $ . The impact of the $ \delta({{\boldsymbol{ r }}}) $ -term in the one-boson-exchange model on these states is presented. Setting $ \Lambda=1.5 $ GeV as an illustrative value, it is found that $ 1/2^-(D_s^{+}\Xi_c) $ is a stable bound state (becoming unstable if the coupling to lower channels is turned on), $ 1/2^-(D_s^{*+}\Xi_c) $ and $ 3/2^-(D_s^{*+}\Xi_c) $ are physical resonances in cases where the $ \delta({{\boldsymbol{ r }}}) $ -term is included or excluded, and the other seven states are physical resonances or "virtual-state-like" poles near thresholds, depending on whether the $ \delta({{\boldsymbol{ r }}}) $ -term is included. In addition, the partial decay widths of the physical resonances are provided. These double-charm hidden-strangeness pentaquark states, as the partners of the experimentally observed $ P_c $ and $ P_{cs} $ states, can be searched for in the $ D^{(*)}\Lambda_c $ final states in the future. *Supported by the Doctoral Program of Tian Chi Foundation of Xinjiang Uyghur Autonomous Region of China (51052300506), the NSFC and the Deutsche Forschungsgemeinschaftn(DFG, German Research Foundation) through the funds provided to the Sino-German Collaborative Research Center TRR110 "Symmetries and the Emergence of Structure in QCD" (NSFC 12070131001, DFG Project-ID 196253076 - TRR 110), the NSFC (11835015, 12047503) and by the Chinese Academy of Sciences (CAS) (XDB34030000)