Hidden-charm pentaquark states through current algebra: from their production to decay

Abstract：

There may be seven $ \bar D^{(*)} \Sigma_c^{(*)} $ hadronic molecular states. We construct their corresponding interpolating currents and calculate their masses and decay constants using QCD sum rules. Based on these results, we calculate their relative production rates in $ \Lambda_b^0 $ decays using current algebra, that is, $ {\cal{B}}(\Lambda_b^0 \to P_c K^-):{\cal{B}}(\Lambda_b^0 \to P_c^\prime K^-) $ , where $ P_c $ and $ P_c^\prime $ are two different states. We also study their decay properties via Fierz rearrangement and further calculate these ratios in the $ J/\psi p $ mass spectrum, that is, $ {\cal{B}}(\Lambda_b^0 \to P_c K^- \to J/\psi p K^-):{\cal{B}}(\Lambda_b^0 \to P_c^\prime K^- \to J/\psi p K^-) $ . Our results suggest that the $ \bar D^{*} \Sigma_c^{*} $ molecular states of $ J^P = 1/2^- $ and $ 3/2^- $ may be observed in future experiments.