A new look at the Pcs states from a molecular perspective

Abstract

We have a look at the Pcs states generated from the interaction of D¯(⁎)Ξc(′⁎) coupled channels. We consider the blocks of pseudoscalar-baryon (12+,32+) and vector-baryon (12+,32+), and find 10 resonant states coupling mostly to D¯Ξc,D¯⁎Ξc,D¯Ξc′,D¯⁎Ξc′,D¯Ξc⁎ and D¯⁎Ξc⁎. A novel aspect of the work is the realization that the D¯Ξc,D¯sΛc or D¯⁎Ξc,D¯s⁎Λc channels, with a strong transition potential, collaborate to produce a larger attraction than the corresponding states D¯Σc,D¯Λc or D¯⁎Σc,D¯⁎Λc appearing in the generation of the strangenessless Pc states, since in the latter case the transition potential between those channels is zero. The extra attraction obtained in the D¯Ξc,D¯⁎Ξc pairs preclude the association of these channels to the Pcs(4338) and Pcs(4459) states respectively. Then we find a natural association of the Pcs(4338) state coupling mostly to D¯⁎Ξc while the Pcs(4459) is associated to the state found that couples mostly to D¯Ξc′. Four more states appear, like in other molecular pictures, and some of the states are degenerate in spin. Counting different spin states we find 10 states, which we hope can be observed in the near future.