Persistent currents of ultrarelativistic plasma-encased endofullerene molecules entrapping H atom

In this work, for the first time in the relevant literature, the persistent currents (pc) and induced magnetic fields (imf) of an endofullerene molecule guested a hydrogen atom, under a spherical confinement, are investigated. The endofullerene molecule is enclosed within a spherical region and embedded into a plasma environment. The plasma environment is depicted with the more general exponential cosine screened Coulomb (MGECSC) potential, and its relevant effects are analyzed by considering plasma screening parameters. The relevant model for endohedral confinement is the Woods-Saxon confinement potential, which is compatible with experimental data. The effects of various forms of Cn are thoroughly elucidated through the analysis of confinement depth, spherical shell thickness, the inner radius, and the smoothing parameters. To find the bound states in the spherically confined endofullerene, the decoupling of the second-order Dirac equation for the large and small components of the radial atomic wave functions is considered. The Dirac equation with the interaction potential is solved numerically by using the Runge-Kutta-Fehlberg method through the decoupling formalism. The influence of spin orientations on the pc and imf is also elucidated. The effects of spherical confinement, plasma shielding, and the structural properties of the fullerene on the pc and imf are thoroughly viewed. Moreover, under given physical conditions, the optimal ranges of these effects are determined.