Can discovery of hidden charm strange pentaquark states help determine the spins of Pc(4440) and Pc(4457)?

The pentaquark states Pc(4312), Pc(4440), and Pc(4457) could be nicely arranged into a multiplet of seven molecules of ¯D(*)Σ(*)c dictated by heavy quark spin symmetry. However, the spins of Pc(4440) and Pc(4457) are not yet fully determined. We employ the contact-range effective field theory to investigate the SU(3)-flavor counterparts of ¯D(*)Σ(*)c and study the possibility of whether their discovery could help determine the spins of Pc(4457) and Pc(4440). We find the existence of a complete hidden charm strange multiplet of ¯D(*)Ξ(')*c molecules, irrespective of the spins of Pc(4440) and Pc(4457). On the other hand, we find that although molecules of ¯D(*)Ξc are also likely, depending on the realization of the underlying dynamics, their discovery could be more useful for determining the spins of Pc(4440) and Pc(4457) and for telling us how heavy quark and light quark interactions depend on the spin of the light quark pair.