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The spins of the pentaquark states $P_c(4440)$ and $P_c(4457)$ play adecisive role in unraveling their nature, but remain undeterminedexperimentally. Assuming that they are $\Sigma_c\bar{D}^{*}$ bound states, wedemonstrate how one can determine their spins by measuring the$\Sigma_c^+\bar{D}^{(*)0}$ correlation functions. We show that one can use the$\Sigma_c^+\bar{D}^0$ correlation function to fix the size of the Gaussiansource and then determine the strength of the $\Sigma_c^+\bar{D}^{*0}$interaction of spin $1/2$ and $3/2$ and therefore the spins of the $P_c(4440)$and $P_c(4457)$ states. The method proposed can be applied to decipher thenature of other hadronic molecules and thus deepen our understanding of thenonperturbative strong interaction.

Distinguishing the spins of $P_c(4440)$ and $P_c(4457)$ with femtoscopic correlation functions