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

The spins of the pentaquark states Pc(4440) and Pc(4457) play a decisive role in unraveling their nature, but remain undetermined experimentally. Assuming that they are ςcD¯∗ bound states, we demonstrate how one can determine their spins by measuring the ςc+D¯(∗)0 correlation functions. We show that one can use the ςc+D¯0 correlation function to fix the size of the Gaussian source and then determine the strength of the ςc+D¯∗0 interaction of spin 1/2 and 3/2 and therefore the spins of the Pc(4440) and Pc(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.