Abstract

The differential cross section and polarization observables for the elastic reaction induced by deuteron scattering off electrons at rest, are calculated in the one-photon-exchange approximation. The following polarization observables were calculated: 1- the analyzing powers (asymmetries) due to the tensor polarization of the deuteron beam, 2 - the spin correlation coefficients caused by the arbitrarily polarized electron target and the vector polarized deuteron beam, 3 - the coefficients of the polarization transfer from the arbitrarily polarized target electron to the recoil electrons. The differential cross section and polarization observables have been expressed in terms of the deuteron electromagnetic form factors: (charge monopole), (magnetic dipole) and (charge quadrupole). Numerical estimations are given for the analyzing powers (asymmetries) due to the tensor polarization of the deuteron beam. They are calculated as functions of the deuteron beam energy for some values of the scattering angle (the angle between the deuteron beam and the recoil electron momenta). For the numerical calculation we use the existing phenomenological parametrization of the deuteron electromagnetic form factors. It turns out that the analyzing powers (asymmetries) are increasing with the growth of the deuteron beam energy and they have appreciable sensitivity to the value of the scattering angle. The specific interest of this reaction is to investigate the possibility to use this reaction for the measurement of the polarization of the high energy deuteron beams.

Highlights

  • The differential cross section and polarization observables for the elastic reaction induced by deuteron scattering off electrons at rest, d e d e are calculated in the one-photon-exchange approximation

  • The differential cross section and polarization observables have been expressed in terms of the deuteron electromagnetic form factors: Gc, GM and GQ

  • Numerical estimations are given for the analyzing powers due to the tensor polarization of the deuteron beam

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Summary

EAST EUROPEAN JOURNAL OF PHYSICS

The differential cross section and polarization observables for the elastic reaction induced by deuteron scattering off electrons at rest, d e d e are calculated in the one-photon-exchange approximation. The inverse kinematics was previously used in a number of the experiments to measure the pion or kaon charge radius from the elastic scattering of negative pions (kaons) from electrons in a liquid-hydrogen target. A few experiments were done at Fermilab with pion beam energy of 100 GeV [2] and 250 GeV [3] At this laboratory, the electromagnetic form factors of negative kaons were measured by direct scattering of 250 GeV kaons from stationary electrons [4]. We calculated, in the one-photon-exchange approximation, the differential cross section and some polarization observables for the elastic deuteron-electron scattering. For the numerical calculation we use the existing phenomenological parametrization of the deuteron electromagnetic form factors

Let us consider the reaction
The components of the quadrupole polarization tensor
Axz Rxz
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