Can discovery of hidden charm strange pentaquark states help determine the spins of
P c ( 4440 ) P c ( 4457
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Cited by 50 publications
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The observation of the $$P_{cs}(4459)$$ P cs ( 4459 ) by the LHCb collaboration adds a new member to the set of known hidden-charm pentaquarks, which includes the $$P_c(4312)$$ P c ( 4312 ) , $$P_c(4440)$$ P c ( 4440 ) and $$P_c(4457)$$ P c ( 4457 ) . The $$P_{cs}(4459)$$ P cs ( 4459 ) is expected to have the light-quark content of a $$\Lambda $$ Λ baryon ($$I=0$$ I = 0 , $$S=-1$$ S = - 1 ), but its spin is unknown. Its closeness to the $${\bar{D}}^* \Xi _c$$ D ¯ ∗ Ξ c threshold – $$4478\,{\mathrm{MeV}}$$ 4478 MeV in the isospin-symmetric limit – suggests the molecular hypothesis as a plausible explanation for the $$P_{cs}(4459)$$ P cs ( 4459 ) . While in the absence of coupled-channel dynamics heavy-quark spin symmetry predicts the two spin-states of the $${\bar{D}}^* \Xi _c$$ D ¯ ∗ Ξ c to be degenerate, power counting arguments indicate that the coupling with the nearby $${\bar{D}} \Xi _c'$$ D ¯ Ξ c ′ and $${\bar{D}} \Xi _c^*$$ D ¯ Ξ c ∗ channels might be a leading order effect. This generates a hyperfine splitting in which the $$J=\tfrac{3}{2}$$ J = 3 2 $${\bar{D}}^* \Xi _c$$ D ¯ ∗ Ξ c pentaquark will be lighter than the $$J=\tfrac{1}{2}$$ J = 1 2 configuration, which we estimate to be of the order of $$5-15\,{\mathrm{MeV}}$$ 5 - 15 MeV . We also point out an accidental symmetry between the $$P_{cs}(4459)$$ P cs ( 4459 ) and $$P_c(4440/4457)$$ P c ( 4440 / 4457 ) potentials. Finally, we argue that the spectroscopy and the $$J/\psi \Lambda $$ J / ψ Λ decays of the $$P_{cs}(4459)$$ P cs ( 4459 ) might suggest a marginal preference for $$J = \tfrac{3}{2}$$ J = 3 2 over $$J = \tfrac{1}{2}$$ J = 1 2 .
The observation of the $$P_{cs}(4459)$$ P cs ( 4459 ) by the LHCb collaboration adds a new member to the set of known hidden-charm pentaquarks, which includes the $$P_c(4312)$$ P c ( 4312 ) , $$P_c(4440)$$ P c ( 4440 ) and $$P_c(4457)$$ P c ( 4457 ) . The $$P_{cs}(4459)$$ P cs ( 4459 ) is expected to have the light-quark content of a $$\Lambda $$ Λ baryon ($$I=0$$ I = 0 , $$S=-1$$ S = - 1 ), but its spin is unknown. Its closeness to the $${\bar{D}}^* \Xi _c$$ D ¯ ∗ Ξ c threshold – $$4478\,{\mathrm{MeV}}$$ 4478 MeV in the isospin-symmetric limit – suggests the molecular hypothesis as a plausible explanation for the $$P_{cs}(4459)$$ P cs ( 4459 ) . While in the absence of coupled-channel dynamics heavy-quark spin symmetry predicts the two spin-states of the $${\bar{D}}^* \Xi _c$$ D ¯ ∗ Ξ c to be degenerate, power counting arguments indicate that the coupling with the nearby $${\bar{D}} \Xi _c'$$ D ¯ Ξ c ′ and $${\bar{D}} \Xi _c^*$$ D ¯ Ξ c ∗ channels might be a leading order effect. This generates a hyperfine splitting in which the $$J=\tfrac{3}{2}$$ J = 3 2 $${\bar{D}}^* \Xi _c$$ D ¯ ∗ Ξ c pentaquark will be lighter than the $$J=\tfrac{1}{2}$$ J = 1 2 configuration, which we estimate to be of the order of $$5-15\,{\mathrm{MeV}}$$ 5 - 15 MeV . We also point out an accidental symmetry between the $$P_{cs}(4459)$$ P cs ( 4459 ) and $$P_c(4440/4457)$$ P c ( 4440 / 4457 ) potentials. Finally, we argue that the spectroscopy and the $$J/\psi \Lambda $$ J / ψ Λ decays of the $$P_{cs}(4459)$$ P cs ( 4459 ) might suggest a marginal preference for $$J = \tfrac{3}{2}$$ J = 3 2 over $$J = \tfrac{1}{2}$$ J = 1 2 .
$P_{c}(4457) \to P_{c}(4312) π/γ$ in the molecular picture
The three pentaquark states, P c (4312), P c (4440), and P c (4457), discovered by the LHCb Collaboration in 2019, can be nicely arranged into a multiplet of D( * ) Σ ( * ) c of seven molecules dictated by heavy quark spin
Recently, a new hidden-charm pentaquark state $$P_{cs}(4459)$$ P cs ( 4459 ) was reported by the LHCb Collaboration. Stimulated by the fact that all hidden-charm pentaquark states in $$S=0$$ S = 0 systems were successfully studied by the chiral quark model, we extended this study to the $$S=-1$$ S = - 1 systems. All possible states with quantum numbers $$IJ^P=0(\frac{1}{2})^-$$ I J P = 0 ( 1 2 ) - , $$0(\frac{3}{2})^-$$ 0 ( 3 2 ) - , $$0(\frac{5}{2})^-$$ 0 ( 5 2 ) - , $$1(\frac{1}{2})^-$$ 1 ( 1 2 ) - , $$1(\frac{3}{2})^-$$ 1 ( 3 2 ) - and $$1(\frac{5}{2})^-$$ 1 ( 5 2 ) - have been investigated. The calculation results shows that the newly observed state $$P_{cs}(4459)$$ P cs ( 4459 ) can be explained as $$\Xi _c \bar{D}^*$$ Ξ c D ¯ ∗ molecular state and the quantum numbers are $$0(\frac{1}{2})^-$$ 0 ( 1 2 ) - . In addition, we also find other molecular states $$\Xi _c \bar{D}$$ Ξ c D ¯ , $$\Xi _c^* \bar{D}$$ Ξ c ∗ D ¯ and $$\Xi _c' \bar{D}^*$$ Ξ c ′ D ¯ ∗ . It is worth mentioning that $$\Xi _c \bar{D}^*$$ Ξ c D ¯ ∗ can form a two-peak structure from states in system $$0(\frac{1}{2})^-$$ 0 ( 1 2 ) - and $$0(\frac{3}{2})^-$$ 0 ( 3 2 ) - . The decay width of all molecular states is given with the help of real scaling method. These hidden-charm pentaquark states is expected to be further verified in future experiments.
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