Zemach moments and radii of H2,3 and He3,4

N. Nevo Dinur, O. J. Hernandez, S. Bacca, N. Barnea, C. Ji, S. Pastore, M. Piarulli, and R. B. Wiringa
Phys. Rev. C 99, 034004 – Published 19 March 2019

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.

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  • Received 27 December 2018

DOI:https://doi.org/10.1103/PhysRevC.99.034004

©2019 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

N. Nevo Dinur1, O. J. Hernandez1,2,3, S. Bacca3,1,4, N. Barnea5, C. Ji6, S. Pastore7, M. Piarulli7, and R. B. Wiringa8

  • 1TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
  • 2Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
  • 3Institut für Kernphysik and PRISMA Cluster of Excellence, Johannes-Gutenberg Universität, DE-55128 Mainz, Germany
  • 4Department of Physics and Astronomy, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada
  • 5Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel
  • 6Key Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China
  • 7Physics Department, Washington University, St. Louis, Missouri 63130, USA
  • 8Physics Division, Argonne National Laboratory, Argonne, Illinois 60439, USA

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Issue

Vol. 99, Iss. 3 — March 2019

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