Pion and muon mass difference: a determining factor in elementary particle mass distribution

Abstract

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.