Ak. Roy et al., DENSITY-FUNCTIONAL CALCULATIONS FOR DOUBLY-EXCITED STATES OF HE, LI-1,3(E), P-3(O), D-1,3(E), P-1,3(O), (1)G(E))(, BE2+ AND B3+ (S), Journal of physics. B, Atomic molecular and optical physics, 30(21), 1997, pp. 4763-4782
More than 200 low-lying and moderately high-lying doubly excited state
s (S-1,3(e), P-3(o), D-1,3(e), (1,3)F(o 1)G(e)) of He-isoelectronic sy
stems (Z = 2-5) have been studied in the nonrelativistic Hohenberg-Koh
n-Sham density-functional framework by incorporating the nonvariationa
l work-function exchange potential suggested by Harbola and Sahni and
a simple parametrized local Wigner-type correlation functional. In ess
ence, a Kohn-Sham-type equation has been solved numerically. Our resul
ts on excited-state energies, excitation energies and differences betw
een excitation energies are in good agreement with available experimen
tal and theoretical results. In 50% of cases, the percentage deviation
in the calculated excitation energy is less than unity. The estimates
of the relatively small distances (0.02-0.1 au) of the He states belo
w the corresponding N = 2, 3, 4 ionization thresholds are in error by
0.5-34.9%, indicating that the Wigner correlation functional needs to
be improved for greater accuracy. The excited radial densities display
expected structures. Some new states are reported.