Elsevier

Nuclear Physics A

Volume 201, Issue 1, 29 January 1973, Pages 81-106
Nuclear Physics A

Elastic magnetic electron scattering and nuclear moments

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Abstract

Just as elastic Coulomb scattering provides the best picture of the nuclear charge distribution, elastic magnetic electron scattering out to high momentum transfer brings out fine details of the nuclear ground-state current and magnetization distributions. We present a series of theoretical observations on the multipoles contributing to elastic magnetic scattering including a detailed analysis of the forms of the multipole operators and single particle current densities and give a pictorial representation of these quantities. We then present a general theoretical analysis of the nuclear matrix elements of the multipole operators. A unified analysis of this process throughout the periodic table from A = 3 to 209 is presented using single-particle wave functions (both harmonic oscillator and Woods-Saxon) with parameters determined entirely from elastic charge scattering. This analysis is compared with the rather limited existing data. Finally, we discuss the relation to isoelastic semi-leptonic weak processes and show that electron scattering provides an essentially model-independent basis for the analysis of these processes.

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Research sponsored by the Air Force Office of Scientific Research, Office of Aerospace Research, US Air Force, under AFOSR Contract no. F44620-71-C-0044.

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