  Event-by-event (ebe) multiplicity \fll and \cor amongst the charged particles
emitted in the forward-backward symmetric pseudorapidity (\et) windows of
varying widths and positions are investigated by analyzing the experimental
data on $^{197}$Au-AgBr collisions at 11.6A GeV/c. The findings are compared
with the predictions of relativistic transport model, \urq and independent
particle emission (or mixed event) model. It is observed that the \fll in ebe
mean pseudorapidity values and those reflected from the \fll strength measure,
\(\Phi\) are relatively higher as compared to those expected from the
statistically independent particle emission model. The study of the variance,
\(\sigma_c^2\) of a suitably defined forward-backward asymmetry variable \(C\)
as a function of \et window width and position indicates the presence of strong
short-range correlations, which might arise due to isotropic decay of
cluster-like objects either in forward or backward \et region. Furthermore,
analyses of events having \ring and \jet substructures, carried out separately,
suggest that the major contribution to the observed \fll in the data sample are
due to ring-like events, while the contributions from the \jet events appear to
be rather small. The observed difference in the behavior of correlation
strengths from the two types of events might be due to the enhanced emission of
Cherenkov gluons, giving rise to the \ring substructure. The mixed event
analysis further confirms that the observed \fll are the distinct feature of
the data, which disappear after event mixing.
