Zemach moments and radii of H 2,3 and He 3,4

N. Nevo Dinur, O. J. Hernandez, S. Bacca, N. Barnea, C. Ji, S. Pastore, M. Piarulli, R. B. Wiringa

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18 Scopus citations

Abstract

We present benchmark calculations of Zemach moments and radii of H2,3 and He3,4 using various few-body methods. Zemach moments are required to interpret muonic atom data measured by the CREMA collaboration at the Paul Scherrer Institute. Conversely, radii extracted from spectroscopic measurements can be compared with ab initio computations, posing stringent constraints on the nuclear model. For a given few-body method, different numerical procedures can be applied to compute these quantities. A detailed analysis of the numerical uncertainties entering the total theoretical error is presented. Uncertainties from the few-body method and the calculational procedure are found to be smaller than the dependencies on the dynamical modeling and the single nucleon inputs, which are found to be 2%. When relativistic corrections and two-body currents are accounted for, the calculated moments and radii are in very good agreement with the available experimental data.

Original languageAmerican English
Article number034004
JournalPhysical Review C
Volume99
Issue number3
DOIs
StatePublished - 19 Mar 2019

Bibliographical note

Publisher Copyright:
© 2019 American Physical Society.

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