Evaluating Alternative Spin Scenarios of Pcc̄(4440) and Pcc̄(4457) Using Heavy Quark Symmetries

Heavy quark symmetries are useful for predicting the existence of heavy states, their masses, and spin states. Despite numerous studies on the Pcc̄(4440) P c c ¯ ( 4440 ) and Pcc̄(4457) P c c ¯ ( 4457 ) heavy states, their spin states have not been previously determined. In this study, heavy symmetries are applied to predict the spin states. If the Pcc̄(4440) P c c ¯ ( 4440 ) and Pcc̄(4457) P c c ¯ ( 4457 ) states are considered D̄^*Σ c D ¯ ∗ Σ c molecules, they can be classified as heavy partners. This classification may help clarify their potential connections with heavy antiquark-diquark symmetry partners. By utilizing these alternative spin assignments and the concept of heavy antiquark-diquark symmetry, it may be possible to estimate Ξ cc(*)Σ c(*) Ξ cc ( ∗ ) Σ c ( ∗ ) states, and ultimately, their spin states, which have not been elucidated in experiments. In addition to these symmetries, the relationship between Pcc̄ P c c ¯ and <jats:alternatives