Drt. Keeble et Ke. Banyard, MOMENTUM-SPACE - EFFECTS OF CORRELATION IN THE DOUBLY-EXCITED STATE 2P(23)P OF HE-LIKE IONS, Journal of physics. B, Atomic molecular and optical physics, 30(1), 1997, pp. 13-32
Momentum properties are examined for the He(2p(2) P-3)-like systems wh
en 1 less than or equal to Z less than or equal to 4. Each doubly exci
ted state (DES) is represented in momentum space by the Dirac-Fourier
transform of the Aspromallis configuration-interaction (A-CI) wavefunc
tion. Various truncations of the natural expansions of the transformed
A-CI functions are used to investigate characteristics of several pro
bability distribution functions and momentum expectation values. The s
ensitivity of such properties with respect to the ordered introduction
of Coulomb correlation effects is of particular interest. This is esp
ecially so in the region of low momenta since, in position (or real) s
pace, it corresponds to the outer or valence regions of an electron de
nsity. Coulomb shifts, based on distribution functions for momentum di
fferences, and the separate angular and radial correlation effects are
analysed for each Z. Comparisons are made, in momentum space, with th
e doubly occupied ground states 1s(2 1)S and, briefly for He, with the
singly excited state 1s2p(2) P-3. Shapes and magnitudes of the Coulom
b shifts are also related to the Coulomb holes in position space. Chan
ges in statistical correlation coefficients highlight variations in th
e radial and angular components of electron correlation for the 2p(2)
3P and 1s(2) S-1 states of the He-like ions as the electronic momenta
decrease in magnitude.