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$$P_c(4312)^+$$ and $$P_c(4337)^+$$ as interfering $$Sigma_cbar{D}$$ and $$Lambda_cbar{D}^*$$ threshold cusps

Nakamura, Satoshi*; Hosaka, Atsushi; Yamaguchi, Yasuhiro   

The recent LHCb data on $$B$$$$_s^{0}$$ $$rightarrow$$ $$J$$/$$psi$$$$p$$$$bar{p}$$ revealed a new pentaquark-like $$P$$$$_{c}$$(4337)$$^{+}$$ structure, while finding no evidence for $$P$$$$_{c}$$(4312)$$^{+}$$ discovered earlier in $$Lambda$$$$_b^{0}$$ $$rightarrow$$ $$J$$/$$psi$$$$pK^{-}$$. Though puzzling, the data actually offer an important hint to understand the nature of the pentaquark candidates. We develop a model to analyze the $$B$$$$_s^{0}$$ $$rightarrow$$ $$J$$/$$psi$$$$p$$$$bar{p}$$ data. We find that a $$Sigma$$$$_{c}$$$$bar{D}$$ over bar over bar one-loop mechanism causes a threshold cusp that fits well the $$P$$$$_{c}$$(4337)$$^{+}$$ peak. Also, the $$Sigma$$$$_{c}$$$$bar{D}$$ over bar over bar and $$Lambda$$$$_c$$$$bar{D}$$* threshold cusps interfere with each other to reproduce an oscillating behavior in the proton helicity angle distribution. These results combined with our earlier analysis on $$Lambda$$$$_b^{0}$$ $$rightarrow$$ $$J$$/$$psi$$$$pK^{-}$$ indicate that $$P$$$$_{c}$$(4312)$$^{+}$$ and $$P$$$$_{c}$$(4337)$$^{+}$$ are created by different interference patterns between the $$Sigma$$$$_{c}$$$$bar{D}$$ and $$Lambda$$$$_c$$$$bar{D}$$* (anomalous) threshold cusps. The proposed scenario consistently explains why the $$P$$$$_{c}$$(4312)$$^{+}$$ and $$P$$$$_{c}$$(4337)$$^{+}$$ peaks appear in $$Lambda$$$$_b^{0}$$ $$rightarrow$$ $$J$$/$$psi$$$$pK^{-}$$ and $$B$$$$_s^{0}$$ $$rightarrow$$ $$J$$/$$psi$$$$p$$$$bar{p}$$ over bar over bar, respectively, but not vice versa or both.

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