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

The spins of the pentaquark states P-c(4440) and P-c(4457) play a decisive role in unraveling their nature, but remain undetermined experimentally. Assuming that they are Sigma(c)(D) over bar* bound states, we demonstrate how one can determine their spins by measuring the Sigma(+)(c)(D) over bar (()*())0 correlation functions. We show that one can use the Sigma(+)(c)(D) over bar (0) correlation function to fix the size of the Gaussian source and then determine the strength of the Sigma(+)(c)(D) over bar (()*())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 the nature of other hadronic molecules and thus deepen our understanding of the nonperturbative strong interaction.