Home / Current Issue / Paper 1707499
Higher Order Perturbative Calculations of Nuclear Finite-size Effects on the Energy Levels of Exotic Atoms
Subject area: Science,Engineering and Technology · Area of research: Theoretical Physics
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
How to cite this paper
@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},
}