# A statistical analysis of the nuclear structure uncertainties in $\mu$D

## TL;DR

This paper investigates the nuclear structure uncertainties in muonic deuterium measurements to understand the discrepancy between muonic and CODATA charge radius values, concluding nuclear theory is unlikely the source of the difference.

## Contribution

The study provides a detailed analysis showing nuclear theory uncertainties are not the main cause of the muonic deuterium charge radius discrepancy.

## Key findings

- Nuclear theory uncertainties are unlikely to explain the discrepancy.
- The muonic deuterium charge radius measurement is highly precise.
- The discrepancy with CODATA values remains unresolved.

## Abstract

The charge radius of the deuteron (D), was recently determined to three times the precision compared with previous measurements using the measured Lamb shift in muonic deuterium (muD). However, the muD value is 5.6 $\sigma$ smaller than the world averaged CODATA-2014 value [1]. To shed light on this discrepancy we analyze the uncertainties of the nuclear structure calculations of the Lamb shift in muD and conclude that nuclear theory uncertainty is not likely to be the source of the discrepancy.