Higher Order Perturbative Calculations of Nuclear Finite-size Effects on the Energy Levels of Exotic Atoms

• Author(s): Ahmad Abdulkadir ; M. A Abdulazeez ; F. W Burari
• Paper ID: 1707499
• Page: 624-641
• Published Date: 17-03-2025
• Published In: Iconic Research And Engineering Journals
• Publisher: IRE Journals
• e-ISSN: 2456-8880
• Volume/Issue: Volume 8 Issue 9 March-2025

Abstract

This research explores the nuclear finite-size effects on the energy levels of exotic atoms, focusing on theoretical calculations up to the fourth order. The study employs a robust framework to derive and analyze energy-level shifts influenced by the nuclear charge distribution for selected atomic numbers (Z = 1, 3, 11, 19, 37, 55, 87). The theoretical models account for higher-order corrections, providing a systematic improvement in accuracy compared to experimental results. The findings highlight that second-order calculations yield reasonable approximations, but significant deviations are observed, particularly at higher atomic numbers. Third-order calculations exhibit improved agreement but still deviate in precision for larger nuclei. Fourth-order corrections achieve remarkable accuracy, with deviations from experimental values becoming negligible. Graphical analyses further illustrate the trends and convergence of the theoretical models to experimental data.

Keywords

Nuclear, finite size, perturbation Exotic, energy, Brillion-wegner, muonic, model, experiment, charge distribution, hifht-order, atomic number. Frame work, nuclear-structure

Citations

IRE Journals:
Ahmad Abdulkadir , M. A Abdulazeez , F. W Burari "Higher Order Perturbative Calculations of Nuclear Finite-size Effects on the Energy Levels of Exotic Atoms" Iconic Research And Engineering Journals Volume 8 Issue 9 2025 Page 624-641

IEEE:
Ahmad Abdulkadir , M. A Abdulazeez , F. W Burari "Higher Order Perturbative Calculations of Nuclear Finite-size Effects on the Energy Levels of Exotic Atoms" Iconic Research And Engineering Journals, 8(9)