The magnetic moment of $P_c(4312)$ as a $\bar{D}{\Sigma }_c$ molecular state

Abstract

In this paper, we tentatively assign the $P_c(4312)$ to be a $\bar{D}{\Sigma }_c$ molecular state with quantum number $J^P={\frac{1}{2}}^{-}$, and calculate its magnetic moment using the QCD sum rule method in external weak electromagnetic field. Starting with the two-point correlation function in external electromagnetic field and expanding it in power of the electromagnetic interaction Hamiltonian, we extract the magnetic moment from the linear response to the external electromagnetic field. The numerical value of the magnetic moment of $P_c(4312)$ is ${\mu }_{P_c}=1.75_{-0.11}^{+0.15}$.

12pages,4figures. published version

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• Electromagnetic properties of doubly heavy pentaquark states
• The singly-charmed pentaquark molecular states via the QCD sum rules
• Surveying the mass spectra and the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{D}^{(\ast )}$ molecular pentaquarks
• Mass Predictions of Vector ($1^{--}$) Double-gluon Heavy Quarkonium Hybrids from QCD Sum Rules
• Strong decays of $P_{\psi }^N(4312{)}^{+}$ to $J/\psi ({\eta }_c)p$ and ${\bar{D}}^{(\ast )}{\Lambda }_c$ within the Bethe-Salpeter framework
• Investigating the M1 radiative decay behaviors and the magnetic moments of the predicted triple-charm molecular-type pentaquarks
• Magnetic Moments of Hidden-Charm Pentaquarks in the Diquark-Diquark-Antiquark Scheme
• Electromagnetic properties of possible triple-charm molecular hexaquarks
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Analytic electromagnetic signatures of compact pentaquark structure: A multi-current QCD light-cone sum rules analysis of the $P_{\psi s}^{\Lambda }$ states