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.

arXiv comment13 pages, 4 figures. To be published in Chinese Physics C

References in corpus (28)

• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Pentaquark and Tetraquark states
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Chiral Dynamics and the Low Energy Kaon-Nucleon Interaction
• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• Possible interpretations of the $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• Establishing the first hidden-charm pentaquark with strangeness
• Negative-parity Nucleon Resonance in the QCD Sum Rule
• Operator product expansion and quark condensate from Lattice QCD in coordinate space
• Quarkonium-Nucleus Bound States from Lattice QCD
• Phi^{zero}-N Bound State
• Chiral Dynamics of the low-energy Kaon-Baryon interactions
• N phi state in chiral quark model
• Do the $P_c^{+}$ Pentaquarks Have Strange Siblings?
• Parity projection of QCD sum rules for the nucleon
• Triangular singularity and a possible $\varphi p$ resonance in the ${\Lambda }_c^{+}\to {\pi }^0\varphi p$ decay
• Search for a hidden strange baryon-meson bound state from $\varphi$ production in a nuclear medium
• Coupled QCD sum rules for positive and negative-parity nucleons
• The nature of Lambda(1405) hyperon resonance in chiral dynamics
• Search for ${\Lambda }_c^{+}\to \varphi p{\pi }^0$ and branching fraction measurement of ${\Lambda }_c^{+}\to K^{-}{\pi }^{+}p{\pi }^0$
• $P_c$-like pentaquarks in hidden strange sector
• Simple estimates of the masses of pentaquarks with hidden beauty or strangeness
• Diquark Substructure in $\varphi$ Photoproduction
• Hidden strange pentaquark in constituent quark models

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