  Motivated by the recent developments in stability of hydrogen atom in a space
with one finite extra-dimension,we consider that physical mesons are also
stable in such a space and estimate their masses in a QCD inspired potential
model. Our analysis suggests that a model of mesons with linear plus coulomb
potential in a space with one finite extra-dimension of size very very less
than 10^{-18} m is compatible with the present experimental data of heavy
flavour mesons.
