Abstract
We compute the ground-state binding energy of muonic (Formula presented) (Formula presented) Be in two ways: first, the fully perturbative treatment of the nuclear-size effect often employed in light systems, and second, an approach that accounts for the finite-nuclear-size to all orders (and is inspired by calculations otherwise employed for heavy muonic ions). The results are compared term by term and show that both approaches agree to better than one part-per-million of the total energy. The objective of this work is twofold. The first is practical: to provide a parameterization that allows the extraction of the (Formula presented) (Formula presented) Be charge radius from recent and forthcoming experiments with high precision. The second is more conceptual: to act as a bridge between the community working on calculations for light systems and those focusing on heavy systems, demonstrating that the fully relativistic approach otherwise chosen for heavy systems can be enhanced to cover theoretical predictions for all charge numbers.
Recommended Citation
S. Rathi et al., "Binding Energy of Muonic Beryllium: Perturbative Versus All-order Calculations," Journal of Physics B Atomic Molecular and Optical Physics, vol. 59, no. 12, article no. 125002, IOP Publishing, Jun 2026.
The definitive version is available at https://doi.org/10.1088/1361-6455/ae7b9a
Department(s)
Physics
Publication Status
Open Access
Keywords and Phrases
charge radius; muonic atoms; precision spectroscopy; quantum electrodynamics; relativistic effects in bound systems
International Standard Serial Number (ISSN)
1361-6455; 0953-4075
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2026 IOP Publishing, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution 4.0 License.
Publication Date
26 Jun 2026
Comments
Technion-Israel Institute of Technology, Grant PHY–2513220