Scattering of polarized electrons on oriented light nuclei

Abstract

For a series of parameter values characterizing an axially symmetric nuclear orientation, the differential cross sections of electrical excitation of oriented⁷Li,¹⁰B nuclei by completely polarized ultrarelativistic electrons with nuclear transition to the first excited states are calculated as a function of the transmitted momentum q. The nucleus is described by a multiparticle oscillator shell model in intermediate coupling. The contribution to the cross section due to nuclear polarization is calculated; it is compared with the influence of the alignment of the nuclei. It is shown that the cross sections calculated for these two cases may differ significantly, both in magnitude and in the character of the dependence on q. For a series of transitions to low-lying levels of the⁷Li,¹⁰B nuclei, systems of equations in terms of reduced nuclear matrix elements of multipole transitions and statistical solutions are obtained; their solution, with cross sections measured in different kinematic conditions but for fixed q as parameters, allows not only the absolute values of the desired quantities to be established, but also the relative phases of the reduced matrix elements.