2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/40823The effect of a finite nuclear mass on the magnetic moment of the electron bound in the ground state of a hydrogen-like ion is analyzed. Using the exact in Zαexpression for the recoil shift of the energy, I calculate the order (Zα)^4 m/M correction to the electron gyromagnetic ratio. The theoretical uncertainty in the prediction for the experimentally interesting carbon ion is decreased to the level of 1.2x10^-9. This provides a factor of two improvement in the precision of the atomic mass of the electron.9 pages, revtexHigh Energy Physics - Phenomenologytext