49 research outputs found
Inclusion of virtual nuclear excitations in the formulation of the (e,e'N)
A wave-function framework for the theory of the (e,e'N) reaction is presented
in order to justify the use of coupled channel equations in the usual Feynman
matrix element. The overall wave function containing the electron and nucleon
coordinates is expanded in a basis set of eigenstates of the nuclear
Hamiltonian, which contain both bound states as well as continuum states.. The
latter have an ingoing nucleon with a variable momentum Q incident on the
daughter nucleus as a target, with as many outgoing channels as desirable. The
Dirac Eqs. for the electron part of the wave function acquire inhomogeneous
terms, and require the use of distorted electron Green's functions for their
solutions. The condition that the asymptotic wave function contain only the
appropriate momentum Q_k for the outgoing nucleon, which corresponds to the
electron momentum k through energy conservation, is achieved through the use of
the steepest descent saddle point method, commonly used in three-body
calculations.Comment: 30 page
Prospectus, December 2, 1975
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Longitudinal and Transverse Quasi-Elastic Response Functions of Light Nuclei
The He and He longitudinal and transverse response functions are
determined from an analysis of the world data on quasi-elastic inclusive
electron scattering. The corresponding Euclidean response functions are derived
and compared to those calculated with Green's function Monte Carlo methods,
using realistic interactions and currents. Large contributions associated with
two-body currents are found, particularly in the He transverse response, in
agreement with data. The contributions of two-body charge and current operators
in the He, He, and Li response functions are also studied via
sum-rule techniques. A semi-quantitative explanation for the observed
systematics in the excess of transverse quasi-elastic strength, as function of
mass number and momentum transfer, is provided. Finally, a number of model
studies with simplified interactions, currents, and wave functions is carried
out to elucidate the role played, in the full calculation, by tensor
interactions and correlations.Comment: 40 pages, 11 figures, submitted to Phys. Rev.