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Threshold behavior of double-pion electroproduction from nuclei

Journal Article · · Phys. Rev. C; (United States)

The leading contribution of threshold double-pion production to inelastic electron scattering from nuclei through a given angle and with a given energy loss is calculated in a Fermi gas model of the nuclear spectrum. The isobar model characterized by the threshold creation of a ..pi..-..delta.. pair constitutes the one-body input with the contact term providing the dominant contribution. The cross sections are found to have an eta/sup 5/ dependence near threshold, where eta = (epsilon/sub 1/-epsilon/sub 2/-2m/sub ..pi../)/m/sub ..pi../ for initial and final electron energies, epsilon/sub 1/ and epsilon/sub 2/. The technique utilized of Fermi averaging near threshold is shown to reproduce the threshold behaviors of the various components of the analogous incoherent electroproduction cross section found earlier by Czyz and Walecka.

Research Organization:
Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, Canada T6G 2J1
OSTI ID:
6042129
Journal Information:
Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 28:1; ISSN PRVCA
Country of Publication:
United States
Language:
English