Precise method for the determination of the neutron electric form factor based on a relativistic analysis of the process $d(e,e'n)p

Abstract

We generalize the recoil polarization method for the determination of the proton form factor to the case of the disintegration of vector polarized deuterons by longitudinally polarized electrons, $\vec{d}(\vec{e},e^{\prime }n)p$. We suggest to measure for this reaction, in the kinematics of quasi-elastic $en$-scattering, the ratio $R_{xz}=A_x/A_z$ of the asymmetries induced by the $x$- and $z$-components of the deuteron vector polarization. In the framework of the relativistic impulse approximation the ratio $R_{xz}$ is sensitive to $G_{En}$ in a wide interval of momentum transfer squared, whereas it depends weakly on the details of the $np$-interaction and on the choice of the deuteron wave function. Moreover, in the range $0.5\le Q^2\le$1.5 GeV${}^2$, the ratio $R_{xz}$ shows a smooth dependence on $Q^2$, making the analysis simpler.

7 pages, 4 figs, 1 table

References in corpus (7)

• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• The ratio of proton's electric to magnetic form factors measured by polarization transfer
• Measurement of GEp/GMp in ep -> ep to Q2 = 5.6 GeV2
• The Charge Form Factor of the Neutron from the Reaction \pol{2H}(\pol{e},e'n)p
• A Measurement of the Electric Form Factor of the Neutron through $\vec{d}(\vec{e},e^{\prime }n)p$ at $Q^2=0.5$ (GeV/c)${}^2$
• Measurement of Tensor Polarization in Elastic Electron-Deuteron Scattering at Large Momentum Transfer
• Measurements of Deuteron Photodisintegration up to 4.0 GeV

Cited by in corpus (2)

• Ejectile Polarization for ${}^{2}H(e,e^{\prime }\vec{p})n$ at GeV energies
• Relativistically invariant analysis of polarization effects in exclusive deuteron electrodisintegration process