# Radiative nonrecoil nuclear finite size corrections of order $\alpha(Z \alpha)^5$ to the Lamb shift in light muonic atoms

## TL;DR

This paper calculates high-order nuclear finite size radiative corrections to the Lamb shift in light muonic atoms using quantum electrodynamics, providing analytic expressions and numerical results based on experimental data.

## Contribution

It introduces a detailed calculation of order lpha(Z lpha)^5 corrections to the Lamb shift in muonic hydrogen and helium, employing the quasipotential method and projection operators.

## Key findings

- Derived analytic expressions for various radiative contributions.
- Provided numerical estimates using modern electromagnetic form factors.
- Enhanced understanding of nuclear size effects on muonic atom energy levels.

## Abstract

On the basis of quasipotential method in quantum electrodynamics we calculate nuclear finite size radiative corrections of order $\alpha(Z \alpha)^5$ to the Lamb shift in muonic hydrogen and helium. To construct the interaction potential of particles, which gives the necessary contributions to the energy spectrum, we use the method of projection operators to states with a definite spin. Separate analytic expressions for the contributions of the muon self-energy, the muon vertex operator and the amplitude with spanning photon are obtained. We present also numerical results for these contributions using modern experimental data on the electromagnetic form factors of light nuclei.