Description of the newly observed $$\Xi _c^{0}$$ Ξ c 0 states as molecular states

Abstract

Abstract Very recently, three new structures $$\Xi _c(2923)^0$$ Ξ c ( 2923 ) 0 , $$\Xi _c(2938)^0$$ Ξ c ( 2938 ) 0 , and $$\Xi _c(2964)^0$$ Ξ c ( 2964 ) 0 at the invariant mass spectrum of $$\Lambda _c^{+}K^{-}$$ Λ c + K - observed by the LHCb Collaboration trigger a hot discussion about their inner structure. In this work, we study the strong decay mode of the newly observed $$\Xi ^0_c$$ Ξ c 0 assuming that the $$\Xi ^0_c$$ Ξ c 0 is a $$\bar{D}\Lambda -\bar{D}\Sigma $$ D ¯ Λ - D ¯ Σ molecular state. With the possible quantum numbers $$J^p=1/2^{\pm }$$ J p = 1 / 2 ± and $$3/2^{\pm }$$ 3 / 2 ± , the partial decay widths of the $$\bar{D}\Lambda -\bar{D}\Sigma $$ D ¯ Λ - D ¯ Σ molecular state into the $$\Lambda _c^{+}K^{-}$$ Λ c + K - , $$\Sigma _c^{+}K^{-}$$ Σ c + K - ,and $$\Xi _c^{+}\pi ^{-}$$ Ξ c + π - final states through hadronic loop are calculated with the help of the effective Lagrangians. By comparison with the LHCb observation, the current results of total decay width support the $$\Xi _c(2923)^0$$ Ξ c ( 2923 ) 0 as $$\bar{D}\Lambda -\bar{D}\Sigma $$ D ¯ Λ - D ¯ Σ molecule while the decay width of the $$\Xi _c(2938)^0$$ Ξ c ( 2938 ) 0 and $$\Xi _c(2964)^0$$ Ξ c ( 2964 ) 0 can not be well reproduced in the molecular state picture. In addition, the calculated partial decay widths with S wave $$\bar{D}\Lambda -\bar{D}\Sigma $$ D ¯ Λ - D ¯ Σ molecular state picture indicate that allowed decay mode, $$\Xi _c^{+}\pi ^{-}$$ Ξ c + π - , may have the biggest branching ratio for the $$\Xi _c(2923)^0$$ Ξ c ( 2923 ) 0 . The experimental measurements for this strong decay process could be a crucial test for the molecule interpretation of the $$\Xi _c(2923)^0$$ Ξ c ( 2923 ) 0 .