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Analysis of the $ˉ D Σ_{c}$ $\bar{D} Σ_{c}$ , $\bar{D} Σ_{c}^{}$ , ${\bar{D}}^{} Σ_{c}$ and ${\bar{D}}^{} Σ_{c}^{}$ pentaquark molecular states with QCD sum rules

Department of Physics, North China Electric Power University, Baoding 071003, P.R. China

https://doi.org/10.1142/S0217751X19500970Cited by:31 (Source: Crossref)

Abstract

In this paper, we study the $\bar{D} Σ_{c}$ , $\bar{D} Σ_{c}^{*}$ , ${\bar{D}}^{*} Σ_{c}$ and ${\bar{D}}^{*} Σ_{c}^{*}$ pentaquark molecular states with the QCD sum rules by carrying out the operator product expansion up to the vacuum condensates of dimension $13$ in a consistent way. The present calculations support assigning the $P_{c} (4312)$ to be the $\bar{D} Σ_{c}$ pentaquark molecular state with $J^{P} = {\frac{1}{2}}^{-}$ , assigning the $P_{c} (4380)$ to be the $\bar{D} Σ_{c}^{*}$ pentaquark molecular state with $J^{P} = {\frac{3}{2}}^{-}$ , assigning the $P_{c} (4440 / 4457)$ to be the ${\bar{D}}^{*} Σ_{c}$ pentaquark molecular state with $J^{P} = {\frac{3}{2}}^{-}$ or the ${\bar{D}}^{*} Σ_{c}^{*}$ pentaquark molecular state with $J^{P} = {\frac{5}{2}}^{-}$ . Special attention is paid to the operator product expansion.

Keywords:

PACS: 12.39.Mk, 14.20.Lq, 12.38.Lg

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