Covariant Spectator Theory of np scattering: Deuteron magnetic moment and form factors

Abstract

The deuteron magnetic moment is calculated using two model wave functions obtained from 2007 high precision fits to $np$ scattering data. Included in the calculation are a new class of isoscalar $np$ interaction currents which are automatically generated by the nuclear force model used in these fits. After normalizing the wave functions, nearly identical predictions are obtained: model WJC-1, with larger relativistic P-state components, gives 0.863(2), while model WJC-2 with very small P-state components gives 0.864(2) These are about 1\% larger than the measured value of the moment, 0.857 n.m., giving a new prediction for the size of the $\rho \pi \gamma$ exchange, and other purely transverse interaction currents that are largely unconstrained by the nuclear dynamics. The physical significance of these results is discussed, and general formulae for the deuteron form factors, expressed in terms of deuteron wave functions and a new class of interaction current wave functions, are given.

arXiv comment36 pages, 2 figures

References in corpus (8)

• Electromagnetic structure of the deuteron
• The deuteron: structure and form factors
• Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV
• Electromagnetic structure of A=2 and 3 nuclei in chiral effective field theory
• Covariant spectator theory of np scattering: Effective range expansions and relativistic deuteron wave functions
• Covariant description of inelastic electron--deuteron scattering:predictions of the relativistic impulse approximation
• Normalization of the covariant three-body bound state vertex function
• Covariant Spectator Theory of np scattering: Isoscalar interaction currents

Cited by in corpus (7)

• The internal structures of the nucleon resonances $N(1875)$ and $N(2120)$
• Deuteron Uncertainties in the Determination of Proton PDFs
• Covariant Spectator Theory of $np$ scattering: Deuteron form factors
• Covariant Spectator Theory of np scattering: Isoscalar interaction currents
• Coincidence charged-current neutrino-induced deuteron disintegration
• Covariant Spectator Theory of np scattering: Deuteron Quadrupole Moment
• Removal of singularities from the covariant spectator theory