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Investigation on the electromagnetic properties of the $ D^{(*)} \Sigma_c^{(*)}$ molecules
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abstract
We systematically explore their electromagnetic characteristics to improve our understanding of the quark-gluon dynamics underlying the complex and controversial nature of multiquark systems. In this study, the magnetic dipole moments of $ D \Sigma_c$, $ D \Sigma_c^{*}$ and $ D^{*} \Sigma_c$ doubly-charmed pentaquarks are extracted, which are directly related to the inner organization of the relevant states. The magnetic dipole moments of these states have been evaluated employing the QCD light-cone sum rules technique with isospin spin-parity $\rm{I(J^P)} = \frac{1}{2}(\frac{1}{2}^-)$, $\rm{I(J^P)} = \frac{1}{2}(\frac{3}{2}^-)$ and $\rm{I(J^P)} = \frac{1}{2}(\frac{3}{2}^-)$, for $ D \Sigma_c$, $ D \Sigma_c^{*}$ and $ D^{*} \Sigma_c$ doubly-charmed pentaquarks respectively. Our predictions for the magnetic dipole moment $\mu_{D\Sigma_c} = 2.98^{+0.76}_{-0.54}~\mu_N$ for the $ D \Sigma_c$ pentaquark, $\mu_{D\Sigma_c^*} = 1.65^{+0.45}_{-0.34}~\mu_N$ for the $D\Sigma_c^*$ pentaquark, and $\mu_{D^*\Sigma_c} = -3.63^{+0.79}_{-0.60}~\mu_N$ for the $D^*\Sigma_c$ pentaquark. Furthermore, we have also extracted the electric quadrupole and the magnetic octupole moments of the $ D \Sigma_c^{*}$ and $ D^{*} \Sigma_c$ doubly-charmed pentaquarks. These values show a non-spherical charge distribution. We hope that our predictions of the magnetic dipole moments of the doubly-charmed pentaquarks, in conjunction with the results of other theoretical investigations of the spectroscopic parameters and decay widths of these intriguing pentaquarks, will prove valuable in the search for these states in future experiments and in elucidating the internal structure of these pentaquarks.
Forward citations
Cited by 7 Pith papers
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Charting doubly strange hidden-charm pentaquarks: An electromagnetic mapping of spin-$\frac{1}{2}$ and $\frac{3}{2}$ states
LCSR calculations of magnetic, quadrupole and octupole moments for S=-2 hidden-charm pentaquarks yield large current-dependent ranges (-4.25 to 5.74 μ_N) dominated by the charm quark in most diquark configurations.
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Magnetic dipole moments as probes of doubly-bottom molecular pentaquarks
For the molecular pentaquark configurations BΣ_b, BΣ_b*, and B*Σ_b, the predicted magnetic dipole moments are 2.40, −2.84, and 5.17 nuclear magnetons respectively, with a sign and magnitude pattern sensitive to spin s...
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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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Electromagnetic properties of possible triple-charm molecular hexaquarks
Using a constituent quark model and OBE-based wave functions, the authors compute M1 radiative widths and magnetic moments for 14 predicted triple-charm molecular hexaquarks.
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Doubly-charmed pentaquark states in a mass splitting model
Using a color-magnetic interaction model anchored to P_c(4312), the authors predict three stable doubly-charmed pentaquarks below their strong decay thresholds.
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Shedding light on the nature of the $P_{cs}(4459)$ pentaquark state
QCD light-cone sum rules with three diquark-diquark-antiquark currents predict Pcs(4459) magnetic dipole moments of -0.60, 1.60, and 0.99 nuclear magnetons.
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