The Effect Of Thermal And Zero-Point Energy Of Quantum Vacuum On Spectra Of Finite-Sized Nucleus Of Hydrogen-Like Atoms

This study aims to accurately model the behavior of hydrogen-like and muonic atoms with finite-sized nuclei in quantum vacuum interactions, addressing the need for precise spectroscopy and accurate interpretation of experimental data across a wide temperature spectrum. The analysis uncovers that both the quantum number, n and nuclear charge, Z have a significant impact on the vacuum field and thermal effects. Muons, due to their greater mass and proximity to the nucleus, experience more pronounced thermal and vacuum field effects than electrons. The study’s findings emphasize the need to consider thermal contributions in quantum vacuum-related calculations and suggest that accounting for nuclear size differences can enhance the accuracy of muonic atom experiments. The study draws intriguing parallels between black holes and hydrogen atoms, offering exciting prospects for further exploration. The theoretical framework developed in this study holds promise for various scientific disciplines, opening new avenues for experimental investigations and deepening our understanding of fundamental physics.