<math><msubsup><mi>P</mi><mrow><mi>ψ</mi><mi>s</mi></mrow><mi>Λ</mi></msubsup><mo>(</mo><mn>4459</mn><mo>)</mo></math> and <math><msubsup><mi>P</mi><mrow><mi>ψ</mi><mi>s</mi></mrow><mi>Λ</mi></msubsup><mo>(</mo><mn>4338</mn><mo>)</mo></math> as molecular states in <math><mi>J</mi><mo>/</mo><mi>ψ</mi><mi>Λ</mi></math> invariant mass spectra

Recently, the LHCb Collaboration has reported two strange hidden-charm pentaquark states named PψsΛ(4459) and PψsΛ(4338) in the J/ψΛ invariant mass spectra of decays Ξb−→J/ψΛK− and B−→J/ψΛp&#175;, respectively. In this work, we perform a coupled-channel study of the interactions Ξc*D&#175;*, Ξc′D&#175;*, Ξc*D&#175;, ΞcD&#175;*, Ξc′D&#175;, ΛcD&#175;s*, ΞcD&#175;, ΛcD&#175;s, and ΛJ/ψ in the quasipotential Bethe-Salpeter equation approach to estimate the J/ψΛ invariant mass spectra. With the help of effective Lagrangians, the potential kernel can be constructed by meson exchanges to obtain the scattering amplitudes, from which the poles of the bound states and the invariant mass spectra can be reached. The coupled-channel calculation results in that the width of state ΞcD&#175;*(1/2−) is about 18 MeV and that of state ΞcD&#175;*(3/2−) is only about 1.6 MeV. By comparison with experimental data, it indicates that the structure PψsΛ(4459) is mainly from the contribution from the ΞcD&#175;*(1/2−) state while the role of state ΞcD&#175;*(3/2−) cannot be excluded. The line shape of the structure PψsΛ(4338) can be reproduced roughly by a narrow molecular state from the ΞcD&#175; interaction with JP=1/2−, which is extremely close to the threshold, with a large interference effect. Besides, an additional state Ξc′D&#175;(1/2−) is suggested to be observed as a dip structure in the J/ψΛ invariant mass spectrum.