QCD sum rule study for hidden-strange pentaquarks

Abstract

Inspired by the LHCb's observations of hidden-charm $P_{c(s)}$ states, we study their hidden-strange analogues $P_s$ states in both $[udu][\bar{s}s]$ and $[uds][\bar{s}u]$ configurations. We investigate the $P_s$ pentaquark states in $p{\eta }^{\prime }$, $p\varphi$, $\Lambda K$, $\Sigma K$ and ${\Sigma }^{\ast }{K}^{\ast }$ structures with $J^P={\frac{1}{2}}^{-}$ and ${\Sigma }^{\ast }K$ and $\Sigma K^{\ast }$ with $J^P={\frac{3}{2}}^{-}$, and calculate their masses in the framework of QCD sum rules. Our numerical results show that the extracted hadron masses for all the $p{\eta }^{\prime }$, $p\varphi$, $\Lambda K$, $\Sigma K$ and ${\Sigma }^{\ast }{K}^{\ast }$ structures are much higher than $\Sigma K$ mass threshold and masses for ${\Sigma }^{\ast }K$ and $\Sigma K^{\ast }$ also higher than threshold of corresponding hadron, so that no bound state exists in such channels, which is consistent with the experimental status to date.

13 pages, 4 figures. To be published in Chinese Physics C

References in corpus (7)

• Pentaquark and Tetraquark states
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• Establishing the first hidden-charm pentaquark with strangeness
• Triangular singularity and a possible $\varphi p$ resonance in the ${\Lambda }_c^{+}\to {\pi }^0\varphi p$ decay
• Search for ${\Lambda }_c^{+}\to \varphi p{\pi }^0$ and branching fraction measurement of ${\Lambda }_c^{+}\to K^{-}{\pi }^{+}p{\pi }^0$
• The nature of Lambda(1405) hyperon resonance in chiral dynamics

Cited by in corpus (4)

• Spectrum of the molecular pentaquarks
• Masses and magnetic moments of exotic fully heavy pentaquarks
• Photo- and electro-production of narrow exotic states: from light quarks to charm and up to bottom
• Strange pentaquark molecules in QCD sum rules