Predicting Pc(4440) and Pc(4457) Spins with an Different Alternative Method Instead of Using the Breit-Wigner Approach

The heavy quark symmetries play a necessary role in understanding heavy hadron states. If the Pc(4440) and Pc(4457) states are indeed 〖D ̅^* Σ〗_c^ molecules, they can be classified as heavy quark spin symmetry partners. These acceptances pave the way to clarify spin states that are not determined experimentally. Despite detailed studies on the Pc(4440) and Pc(4457) states, their spin states remain undetermined. While the Breit-Wigner parameterization is the conventional method for obtaining resonance parameters, it is unsuitable for near-threshold resonances such as the Pc(4312), Pc(4440), and Pc(4457) due to its failure to account for the threshold effect. To rectify this limitation, the recently proposed alternative distribution called the Sill is employed to predict their spin states. The use of the Sill values for the Pc(4312), Pc(4440), and Pc(4457) may assist in determining the spin states of the Pc(4440) and Pc(4457).