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

PC NEWS IN BRIEF: 1975 FALL SEMESTER GRADS, PRESIDENT REPORTS, TRAFFIC STUDY AT PARKLAND; Campus FM Radio A Reality; StuGo proposes $18,000 cut: Emergency meeting slashes$$$; editorials; Letters to the Editor; Roots & Radicals; Forum; Seniors visit P/C; Far Out Planet; Counseling Services Available at P/C; Questions, Just ask Bob; Karate Club; Phi Beta Lambda; Parkland, Sangamon combination; Library Report; Baby born to Reids; Distaff Side; Skylines: Secrets of Life; Parkland teacher stars in musical; Snow Queen contest, dance planned by StuGo; Wright accepts new Chevy; Christmas Music; Swingles Swing; Aw, c\u27mon, Denice; Public StuGo Meeting set for Dec. 6; Cardwell reports to Faculty Senate; Library Security System; Senator Resigns; Parkland Events; Dinner set for December 4; Staerkel scores lack of state funding; If Snow comes, can flu be far behind?; Library Hours; Prospectus Photo Contest; Attend StuGo Meeting: Students protest further cuts in StuGo budget; Ooops!; Two Plays set for Dec. 4 and &; Fly Navy; Snow Queen Candidates named; Good News; Vinyl Love; Foto-Funny\u27s; Country Bouquet: Chicano country ; Dear Bonnie; Art Works for P/C; Classified; U.S. returns vs. Illini; Cobras host Wabash in season opener; Sports Views: Parkland football may be in danger; 1975-76 Cobras Parkland Basketball Roster; 1975-1976 Parkland College Basketball Schedulehttps://spark.parkland.edu/prospectus_1975/1001/thumbnail.jp

Longitudinal and Transverse Quasi-Elastic Response Functions of Light Nuclei

The $^3$He and $^4$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 $^4$He transverse response, in agreement with data. The contributions of two-body charge and current operators in the $^3$He, $^4$He, and $^6$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.