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The three pentaquark states, $P_{c}(4312)$, $P_{c}(4440)$, and $P_{c}(4457)$,discovered by the LHCb Collaboration in 2019, can be nicely arranged into amultiplet of $\bar{D}^{(\ast)}\Sigma_{c}^{(\ast)}$ of seven molecules dictatedby heavy quark spin symmetry. In this work we employ the effective Lagrangianapproach to investigate the two decay modes of $P_{c}(4457)$, $P_{c}(4457) \toP_{c}(4312) \pi$ and $P_{c}(4457) \to P_{c}(4312) \gamma$, via the trianglemechanism, assuming that $P_{c}(4457)$ and $P_{c}(4312)$ are$\bar{D}^{\ast}\Sigma_{c}$ and $\bar{D}\Sigma_{c}$ bound states but the spin of$P_{c}(4457)$ can be either 1/2 or 3/2. Our results show that the spin of$P_{c}(4457)$ can not be discriminated through these two decay modes. The decaywidths of $P_{c}(4457) \to P_{c}(4312) \pi$ and $P_{c}(4457) \to P_{c}(4312)\gamma$ are estimated to be of order of 100 keV and 1 keV, respectively. Theratio of the partial decay widths of $P_{c}(4457) \to P_{c}(4312) \pi$ to$P_{c}(4457) \to P_{c}(4312) \gamma$ is similar to the ratio of $D^{\ast}\toD\pi$ to $D^{\ast}\to D\gamma$, which could be used to check the molecularnature of $P_{c}(4457)$ and $P_{c}(4312)$ if they can be observed in thefuture.

$P_{c}(4457) \to P_{c}(4312) \pi/\gamma$ in the molecular picture