<scp>AC</scp> Nuclear Stark Effect in Hydrogen‐Like Carbon Ion via Super‐Intense Laser

ABSTRACT We investigate the Nuclear Stark Effect induced in hydrogen‐like carbon ion under super‐intense laser fields. Since laser wavelengths are generally larger than nuclear dimensions, direct laser‐nucleus interaction is unfeasible. Instead, this effect is induced indirectly through electron oscillations in the laser field, which produce a periodic electric field that shifts the nuclear energy levels. Using perturbation theory, we derive an expression for the energy shift and dynamic polarizability of the nucleus as a function of laser parameters. Our findings reveal that the nuclear Stark effect can be controlled by adjusting the laser frequency and intensity, potentially enabling applications in nuclear and quantum optical systems.