Improved estimates of the nuclear structure corrections in $\mu$D

TL;DR

This paper refines the calculation of nuclear structure corrections in muonic deuterium by employing advanced chiral effective field theory potentials, reducing uncertainties in nuclear radius measurements from muonic experiments.

Contribution

It introduces a systematic approach using chiral potentials to improve estimates of nuclear corrections, enhancing the precision of muonic deuterium spectroscopy.

Findings

Improved nuclear correction estimates with reduced theoretical uncertainty.

Demonstrated convergence order-by-order in chiral effective field theory.

Provided more reliable inputs for nuclear radius extraction from muonic deuterium data.

Abstract

We calculate the nuclear structure corrections to the Lamb shift in muonic deuterium by using state-of-the-art nucleon-nucleon potentials derived from chiral effective field theory. Our calculations complement previous theoretical work obtained from phenomenological potentials and the zero range approximation. The study of the chiral convergence order-by-order and the dependence on cutoff variations allows us to improve the estimates on the nuclear structure corrections and the theoretical uncertainty coming from nuclear potentials. This will enter the determination of the nuclear radius from ongoing muonic deuterium experiments at PSI.