  In the D = (n + m + 1) dimensional brane world scenario with m compact
dimensions, the radion modulus can be stabilised by a massive bulk m-form
antisymmetric field. We analyse some of the phenomenological aspects of this
scenario. We find that the radion mass is smaller than the TeV scale, but
larger than that in the case where the radion modulus is stabilised by a bulk
scalar field. From the macroscopic n dimensional spacetime point of view, the
m-form field mimics a set of p-form fields. We analyse the mass spectrum of
these fields. The lowest mass is \stackrel{>}{_\sim} TeV whereas, for any bulk
or brane field, the excitations in the compact space have Planckian mass and
are likely to reintroduce the hierarchy problem. Also, we analyse the couplings
of the m-form field to the matter fields living on a brane. The present results
are applicable to more general cases also.
