Elastic electron–deuteron scattering in chiral effective field theory

Abstract

We calculate elastic electron-deuteron scattering in a chiral effective field theory approach for few-nucleon systems based on a modified Weinberg power counting. We construct the current operators and the deuteron wave function at next-toleading (NLO) and next-to-next-to-leading (NNLO) order simultaneously within a projection formalism. The leading order comprises the impulse approximation of photons coupling to point-like nucleons with an anomalous magnetic moment. At NLO, we include renormalizations of the single nucleon operators. To this order, no unknown parameters enter. At NNLO, one four-nucleon-photon operator appears. Its strength can be determined from the deuteron magnetic moment. We obtain not only a satisfactory description of the deuteron structure functions and form factors measured in electron-deuteron scattering but also find a good convergence for these observables.

Signatures of the chiral two-pion exchange electromagnetic currents in theH2andHe3Rozpędzik1, Golak2, Kölling3 et al. 2011Phys. Rev. C313541View full textAdd to dashboardCite

“…5. We consider the photon (A γ x (θ d )) and the 3 He (A 3 He y (θ d )) analyzing powers as well as the spin correlation coefficients C γ, 3 He x,y (θ d ) and C γ, 3 He y,x (θ d ). In the case of the photon analyzing power A x (γ), the prediction bands for the single nucleon current give higher values than the other, more complete calculations, but the shape of the bands are always similar.…”

“…ChEFT has also been used to study the electromagnetic properties of the deuteron [3,4] and 3 He [5,6]. One of the fundamental processes observed for the deuteron is the photodisintegration reaction.…”

“…It has been a subject of intense experimental and theoretical research for several decades (see Refs [7,8]). Also photodisintegration of 3 He has been studied experimentally and theoretically for a long time [9][10][11]. Photodisintegration observables provide a good tool for studying the contributions from meson exchange currents (MEC) to the nuclear current operator.…”

“…The results for the photodisintegration of the 2 H are discussed and compared with the experimental data in section III. The extension to the 3N system is briefly described in section IV and the results obtained for photodisintegration of 3 He are presented in Section V. Finally, section VI contains the summary and conclusions.…”

Chiral dynamics of/with unstable particles

“…[54], see Refs. [55][56][57][58] and references therein for related earlier studies. This approach is based on a manifestly Lorentz invariant form of the effective Lagrangian without performing a non-relativistic expansion for the nucleon propagators.…”