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Abstract Very recently, the LHCb Collaboration reported their new results about the pentaquarks at charm energy region. Based on the new experimental results, we recalculate the molecular states composed of a $$\varSigma _c^{(*)}$$ Σc(∗) baryon and a $$\bar{D}^{(*)}$$ D¯(∗) meson in a quasipotential Bethe–Salpeter equation approach. The two-peak structure around 4450 MeV can be interpreted as two $$\varSigma _c \bar{D}^*$$ ΣcD¯∗ bound states with spin parities $$1/2^-$$ 1/2- and $$3/2^-$$ 3/2- . The newly observed pentaquark $$P_c(4312)$$ Pc(4312) can be assigned as a $$\varSigma _c\bar{D}$$ ΣcD¯ bound state with spin parity $$1/2^-$$ 1/2- . The experimental determination of spin parities will be very helpful to understand the internal structure of these pentaquarks.