Atomic and Molecular Physics

Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density

A correlation-energy formula due to Colle and Salvetti [Theor. Chim. Acta 37, 329 (1975)], in which the correlation energy density is expressed in terms of the electron density and a Laplacian of the second-order Hartree-Fock density matrix, is restated as a formula involving the density and local kinetic-energy density. On insertion of gradient expansions for the local kinetic-energy density, density-functional formulas for the correlation energy and correlation potential are then obtained. Through numerical calculations on a number of atoms, positive ions, and molecules, of both open- and closed-shell type, it is demonstrated that these formulas, like the original Colle-Salvetti formulas, give correlation energies within a few percent.

Principles of Plasma Physics

Out-of-plane measurements of the fifth response function of the exclusive electronuclear response

The first measurements of ${f}_{\mathrm{LT}}^{\ensuremath{'}},$ known as the fifth response function, have been made for the ${}^{2}\mathrm{H}(\stackrel{\ensuremath{\rightarrow}}{e}{,e}^{\ensuremath{'}}p)$ and ${}^{12}\mathrm{C}(\stackrel{\ensuremath{\rightarrow}}{e}{,e}^{\ensuremath{'}}p)$ reactions. This response is directly related to the imaginary part of the interference between the transverse and longitudinal nuclear electromagnetic currents. Its observation requires longitudinally polarized electron beams and out-of-plane detection, the latter made possible by the newly developed out-of-plane spectrometer system. The initial measurements were made by using a 560-MeV polarized electron beam and quasielastic kinematics at ${Q}^{2}=3.3 {\mathrm{fm}}^{\ensuremath{-}2}.$ The development of the methodology for out-of-plane physics, and the analysis of the data from the initial experiments are described in detail. The measured fifth response and the related asymmetry in the coincidence cross section are in agreement, albeit with large statistical errors, with the theoretical predictions. Future extensions of the out-of-plane program are also discussed.