Exact 4He Spectral Function in a Semirealistic NN Potential Model
Abstract
The spectral function of 4He is calculated with the Lorentz integral transform method in a large energy and momentum range. The excitation spectrum of the residual 3N-system is fully taken into account. The obtained spectral function is used to calculate the quasi elastic longitudinal (e,e') response Rl of 4He for q=300, 400, and 500 MeV/c. Comparison with the exact Rl shows a rather sizeable disagreement except in the quasi elastic peak, where the differences reduce to about 10% at q=500 MeV/c. It is shown as well that very simple momentum distribution approximations for the spectral function provide practically the same results for Rl as the exact spectral function.
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