The ground state of a double-layer charged Bose system is investigated
beyond the random-phase approximation by including the many-body corr
elation effects. The correlations within the layer are accounted for w
ithin the self-consistent theory of Singwi, Tosi, Land, and Sjolander,
while we have neglected the effect of interlayer correlations, The st
atic susceptibility, the elementary excitation spectrum, and the stati
c screened potentials are calculated and their dependence on the boson
number density and the layer spacing is examined. Results are compare
d with the recent work of Tanatar and Das where correlations are not i
ncluded. It is found that the inclusion of correlation effects combine
d with the interlayer interactions can significantly alter the nature
of the ground state and, in particular, can favor an inhomogeneous cha
rge-density-wave ground state. A comparison is also made in terms of s
creened potentials with the double-layer electron system that enables
one to have a deeper insight into the role played by the exchange and
Coulomb correlations separately.