Investigation on the electromagnetic properties of the D^ (*) c^ (*) molecules

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 c, D c^* and D^* 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 I (JP) = 12 (12^-), I (JP) = 12 (32^-) and I (JP) = 12 (32^-), for D c, D c^* and D^* c doubly-charmed pentaquarks respectively. Our predictions for the magnetic dipole moment ₃₂ = 2. 98^+0. 76-₀. ₅₄~N for the D c pentaquark, ₃₂^* = 1. 65^+0. 45-₀. ₃₄~N for the Dc^* pentaquark, and ₃^*₂ = -3. 63^+0. 79-₀. ₆₀~N for the D^*c pentaquark. Furthermore, we have also extracted the electric quadrupole and the magnetic octupole moments of the D c^* and D^* c doubly-charmed pentaquarks. These values show a non-spherical charge distribution. As a by-product, the magnetic dipole moments of the isospin-32 partners associated with these doubly-charmed pentaquarks have also been determined. The magnetic dipole moments are calculated as follows: ₃₂ = 3. 78^+0. 94-₀. ₇₀~N, ₃₂^* = 2. 08^+0. 57-₀. ₄₃~N, ₃^*₂ = -4. 59^+0. 99-₀. ₇₆~N for the isospin-32 partners D c, D c^* and D^* c doubly-charmed pentaquarks, respectively.