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The magnetic moment of $P_{c}(4312)$ as a $\bar{D}\Sigma_{c}$ molecular state
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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 $\mu_{P_{c}}=1.75^{+0.15}_{-0.11}$.
Forward citations
Cited by 7 Pith papers
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Electromagnetic form factors: A window into the $D\Lambda_c$, $D^*\Lambda_c$, and $D\Lambda_c^*$ molecular structure
Using light-cone QCD sum rules, the paper predicts negative magnetic dipole moments of roughly -1.27, -2.78, and -3.80 nuclear magnetons for the DΛc, D*Λc, and DΛc* molecular pentaquark candidates, plus small quadrupo...
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Probing the electromagnetic structure of the $P_c(4337)^+$ pentaquark: Insights from a diquark-diquark-antiquark picture for $J^P = \frac{1}{2}^-$ and $\frac{3}{2}^-$ states
Under the diquark-diquark-antiquark model, the magnetic moment of Pc(4337)+ is predicted to be 1.76 ± 0.44 μN for J^P = 1/2^- and -1.38 ± 0.35 μN for J^P = 3/2^-, with nonzero quadrupole and octupole moments in the 3/...
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Magnetic Moments of Hidden-Charm Pentaquarks in the Diquark-Diquark-Antiquark Scheme
Using constituent quark masses and S-wave spin-flavor wave functions, the paper predicts magnetic moments for Pc(4457) and related hidden-charm pentaquarks in the diquark-diquark-antiquark scheme.
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