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

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@article{1707499,
      author = {Ahmad Abdulkadir, M. A Abdulazeez, F. W Burari},
      title = {Higher Order Perturbative Calculations of Nuclear Finite-size Effects on the Energy Levels of Exotic Atoms},
      journal = {Iconic Research And Engineering Journals},
      year = {2025},
      volume = {8},
      number = {9},
      pages = {624-641},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1707499.pdf},
      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},
      month = {March},
  }