  The most fundamental to the elementary particles is the mass they posses and
it would be of importance to explore a possible relationship amongst their
masses. Here, an attempt is made to investigate this important aspect
irrespective of their nature or scheme of classification. We show that there
exists a striking tendency for successive mass differences between elementary
particles to be close integral/half integral multiple of the mass difference
between a neutral pion and a muon. Thus indicating discreteness in the nature
of the mass occurring at elementary particle level. Further, this mass
difference of 29.318 MeV is found to be common to the mass spectra of leptons
and baryons, implying thereby existence of a basic mechanism linking elementary
particles responding to different interactions.
