Radiative nonrecoil nuclear finite size corrections of order α(Zα)5 to the hyperfine splitting of S-states in muonic hydrogen

Abstract

On the basis of quasipotential method in quantum electrodynamics we calculate nuclear finite size radiative corrections of order α(Zα) 5 to the hyperfine structure of S-wave energy levels in muonic hydrogen and muonic deuterium. For the construction of the particle interaction operator we employ the projection operators on the particle bound states with definite spins. The calculation is performed in the infrared safe Fried-Yennie gauge. Modern experimental data on the electromagnetic form factors of the proton and deuteron are used.

Model independent extraction of the proton magnetic radius from electron scattering

“…The discussion has focused on the one hand on recalculation of the theoretical input to the extraction of r p E from muonic hydrogen and on modifications of the theoretical calculation such as proton structure effects, e.g. [7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,…”

Muonic Atoms and the Nuclear Structure

“…Similar activities in µp exist at RIKEN-RAL and J-PARC [36,37]. The theoretical prediction for the 1S-HFS in µp is approximately [11,12,38,39] ∆E th HFS = 182.819 (1) [meV] − 1.301…”

1S-2S energy shift in muonic hydrogen

“…In the case of a hydrogen atom the interval of a large fine structure (1S − 2S ) was measured with very high accuracy. Despite the appearance of numerous papers [5][6][7][8][9][10][11][12][13][14][15][16][17]21] devoted to investigations of different corrections in the energy spectrum of light muonic atoms the value of energy interval (1S − 2S ) has not been studied with good accuracy. So, the goal of this work is to calculate the fine structure energy interval (1S − 2S ) in a number of muonic atoms included in CREMA experiments.…”