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The $\Sigma_{c}(2800)^+$ and $\Lambda_c(2940)^+$ states are among the mostinteresting and intriguing particles whose internal structures have not yetbeen elucidated. Inspired by this, the magnetic dipole moments of the$\Sigma_{c}(2800)^+$ and $\Lambda_c(2940)^+$ states with quantum numbers $J^P =\frac{1}{2}^-$ and $J^P = \frac{3}{2}^-$, respectively, are analyzed in theframework of QCD light-cone sum rules, assuming that they have a moleculecomposed of a nucleon and a $D^{(*)}$ meson. The magnetic dipole moments areobtained as $\mu_{\Sigma_c^{+}}=0.26 \pm 0.05~\mu_N$ and$\mu_{\Lambda_c^{+}}=-0.31 \pm 0.04~\mu_N$. The magnetic dipole moment is theleading-order response of a bound system to a weak external magnetic field. Ittherefore offers an excellent platform to explore the inner organization ofhadrons governed by the quark-gluon dynamics of QCD. Comparison of the findingsof this analysis with future experimental results on the magnetic dipolemoments of the $\Sigma_{c}(2800)^+$ and $\Lambda_c(2940)^+$ states may shedlight on the nature and internal organization of these states. The electricquadrupole and magnetic octupole moments of the $\Lambda_c(2940)^+$ states havealso been calculated, and these values are determined to be $\mathcalQ_{\Lambda_c^+} = (0.65 \pm 0.25) \times 10^{-3}$~fm$^2$ and $ \mathcalO_{\Lambda_c^+} = -(0.38 \pm 0.10) \times 10^{-3}$~fm$^3$, respectively. Thevalues of the electric quadrupole and magnetic octupole moments show anon-spherical charge distribution. We hope that our estimates of theelectromagnetic properties of the $\Sigma_{c}(2800)^+$ and $\Lambda_c(2940)^+$states, together with the results of other theoretical studies of thespectroscopic parameters of these states, will be useful for their search infuture experiments and will help us to define the exact internal structures ofthese states.

Electromagnetic properties of the $\Sigma_{c}(2800)^+$ and $\Lambda_c(2940)^+$ states via light-cone QCD