Elastic scattering of electrons by deuterons in the framework of the source theory by J. Schwinger

Abstract

Cross sections of the elastic scattering of electrons from the deuterons are calculated with the concept of primitive interaction, disregarding the form factors of the deuteron. Formulas are derived for the various possibilities of the electron and deuteron polarization. Numerical results are given for 175 MeV scattering in the rest frame.In the present paper the elastic scattering of electrons by deuterons is investigated in the framework of Schwinger's source theory [1][2][3][4][5]. The electron is regarded as a spin 1/2 particle of mass me, charge -e, and with the g value equal 2. Accordingly the deuteron is a spin 1 particle of mass m d, charge + e, with a certain gd value (corresponding to the magnetic dipole moment), and an electric quadrupole moment Q. The form factors of the charge distribution of the magnetic dipole moment, and of the electric quadrupole moment are neglected. The scattering process is described by the contribution W4o =~ dx ~ dx!j~(x) D § (X--x')jue(X')to the action expression. D+ is the photon propagator. The electron current for g= 2 is given by JU~(x) = ~1 (x) •o ~i, e q ~2 (x),where q is the charge matrix, and ~2 and q/1 are the electron emission and absorption fields, respectively. The deuteron current can be expressed by the deuteron fields in the following way: (~, (0" ckl -O k r i e q (~v r 2 -d~ r eq(a + (terms with interchanged 1 and 2). * Preprints can be ordered from the authors.