Analysis of hidden-charm pentaquark molecular states with and without strangeness via the QCD sum rules *

Abstract In this study, we investigate the , $\bar{D}\Xi^\prime_c$?> $\bar{D}\Sigma_c^*$?> $\bar{D}\Xi_c^*$?> $\bar{D}^{*}\Sigma_c$?> $\bar{D}^{*}\Xi^\prime_c$?> $\bar{D}^{*}\Sigma_c^*$?> and $\bar{D}^{*}\Xi_c^*$?> pentaquark molecular states with without strangeness via QCD sum rules in detail, focusing on light flavor, $SU(3)$?> breaking effects, make predictions for new besides assigning $P_c(4312)$?> $P_c(4380)$?> $P_c(4440)$?> $P_c(4457)$?> $P_{cs}(4459)$?> self-consistently. future, can search these decay of $\Lambda_b^0$?> $\Xi_b^0$?> $\Xi_b^-$?> . Furthermore, discuss high-dimensional vacuum condensates detail.