  We have observed several new spectral features in the fluorescence of cesium
atoms implanted in the hcp phase of solid helium following laser excitation to
the 6$^{2}$P states. Based on calculations of the emission spectra using
semiempirical Cs-He pair potentials the newly discovered lines can be assigned
to the decay of specific Cs*He$_{n}$ exciplexes: an apple-shaped Cs$(A\Pi
_{3/2})$He$_{2}$ and a dumbbell-shaped Cs$(A\Pi_{1/2}) $He$_{n}$ exciplex with
a well defined number $n$ of bound helium atoms. While the former has been
observed in other enviroments, it was commonly believed that exciplexes with
$n>2$ might not exist. The calculations suggest Cs$(A\Pi_{1/2}) $He$_{6}$ to be
the most probable candidate for that exciplex, in which the helium atoms are
arranged on a ring around the waist of the dumbbell shaped electronic density
distribution of the cesium atom.
