The mass structure of SU(3) multiplets and pion muon mass difference

TL;DR

This paper reveals that mass differences within hadron multiplets are approximately integral multiples of the pion-muon mass difference, suggesting a fundamental role of this difference in elementary particle mass structure.

Contribution

It demonstrates a universal pattern linking hadron mass splittings to the pion-muon mass difference across various multiplets and quantum states.

Findings

Mass splittings are close to integer multiples of the pion-muon mass difference.

The pattern holds across different spin and parity multiplets.

Supports the idea of a fundamental significance of the pion-muon mass difference.

Abstract

The mass structure of hadron multiplets is understood to imply the inexactness of SU(3) symmetry. Here we show that these symmetry broken mass splittings amongst baryon and meson multiplet members are close integral multiples of the mass difference between a neutral pion and a muon, the first excitation within the elementary particle mass spectrum. This is found to be equally true for the mass intervals amongst the particles belonging to the multiplets having different spin and parity characteristics. The results reinforce our earlier contention that the mass difference between a neutral pion and a muon is of fundamental importance to the elementary particle mass distribution.