Order in the mass spectrum of elementary particles

TL;DR

This paper investigates the quantization of elementary particle mass differences, linking them to the pion-muon mass difference, and extends this concept to various hadron multiplets, suggesting a fundamental mass unit of 29.318 MeV.

Contribution

It demonstrates that mass differences among elementary particles and hadron multiplets are quantized as multiples of a basic mass unit, reinforcing the pion-muon mass difference's fundamental role.

Findings

Mass differences are quantized as multiples of 29.318 MeV.

The linkage holds across different hadron multiplets and spin-parity states.

Supports the idea of a fundamental mass unit in elementary particles.

Abstract

The study on the linkage of elementary particle mass differences with pion-muon mass difference is explored further. In the present study we show this linkage to be equally true for the mass differences amongst the members of SU(3) hadron multiplets and the hadrons belonging to multiplets having different spin and parity characteristics. This reinforces our contention that inter particle mass excitations are quantized as integral multiples of basic mass unit of 29.318 MeV and thereby indicates the fundamental nature of pion-muon mass difference in the elementary particle mass distribution.