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Physics of Atomic Nuclei

, Volume 71, Issue 10, pp 1730–1739 | Cite as

Determination of the root-mean-square radius of the deuteron from present-day experimental data on neutron-proton scattering

  • V. A. Babenko
  • N. M. Petrov
Nuclei Theory

Abstract

The correlation between the root-mean-square matter radius of the deuteron, r m , and its effective radius, ρ, is investigated. A parabolic relationship between these two quantities makes it possible to determine the root-mean-square radius r m to within 0.01% if the effective radius ρ is known. The matter (r m ), structural (r d ), and charge (r ch) radii of the deuteron are found with the aid of modern experimental results for phase shifts from the SAID nucleon-nucleon database, and their values are fully consistent with their counterparts deduced by using the experimental value of the effective deuteron radius due to Borbély and his coauthors. The charge-radius value of 2.124(6) fm, which was obtained with the aid of the SAID nucleon-nucleon database, and the charge-radius value of 2.126(12) fm, which was obtained with the aid of the experimental value of the effective radius ρ, are in very good agreement with the present-day chargeradius value of 2.128(11) fm, which was deduced by Sick and Trautmann by processing world-average experimental data on elastic electron scattering by deuterons with allowance for Coulomb distortions.

PACS numbers

13.75.Cs 21.10.Ft 21.10.Gv 21.10.Jx 21.30.Cb 25.40.Dn 27.10.+h 

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Copyright information

© Pleiades Publishing, Ltd. 2008

Authors and Affiliations

  • V. A. Babenko
    • 1
  • N. M. Petrov
    • 1
  1. 1.Bogolyubov Institute for Theoretical PhysicsNational Academy of Sciences of UkraineKyivUkraine

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