Abstract
Leading order (α4) finite size corrections in muonic deuterium are evaluated within a few body formalism for the μ−pn system in muonic deuterium and found to be sensitive to the input of the deuteron wave function. We show that this sensitivity, taken along with the precise deuteron charge radius determined from muonic atom spectroscopy can be used to determine the elusive deuteron D-state probability, PD, for a given model of the nucleon–nucleon (NN) potential. The radius calculated with a PD of 4.3% in the chiral NN models and about 5.7% in the high precision NN potentials is favoured most by the μ−d data.
Highlights
The lightest nucleus, namely, the deuteron, has traditionally held an important place in nuclear physics as a testing ground for the nucleon-nucleon interaction
D-state probability in the deuteron wave function in particular has been a classic problem of nuclear physics [1,2,3]
It is based on a few body calculation of the leading order (α4) finite size corrections (FSC) to the energy levels of muonic deuterium atoms
Summary
The lightest nucleus, namely, the deuteron, has traditionally held an important place in nuclear physics as a testing ground for the nucleon-nucleon interaction. The term δR which includes mesonic exchange effects, relativistic corrections, dynamical effects and isobar configurations in the deuteron introduces uncertainties in the extraction of PD [6] This fact was noticed in one of the oldest works by Feshbach and Schwinger [1] on the theory of nuclear forces which gave the D-state probability, PD, ranging between 2% to 6%. The method is useful in view of the very high precision reported by recent muonic deuterium experiments [9] It is based on a few body calculation of the leading order (α4) finite size corrections (FSC) to the energy levels of muonic deuterium atoms.
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