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

TL;DR

This paper demonstrates that the mass differences among certain baryons in the SU(3) antidecuplet are exact integral multiples of the pion-muon mass difference, suggesting a fundamental mass unit in elementary particles.

Contribution

It reveals a novel pattern where baryon mass intervals and SU(3) breaking strengths are quantized in units of the pion-muon mass difference.

Findings

Mass intervals among pentaquark baryons are integral multiples of 29.318 MeV.

SU(3) symmetry breaking strengths are discrete multiples of the pion-muon mass difference.

Supports the idea of a fundamental mass unit in elementary particle mass differences.

Abstract

We show that the mass intervals among the pentaquark baryons $\Theta^{+}$, $N^{*}(1685)$ and $\Xi_{3/2}^{-}$ proposed to be the members of the SU(3) antidecuplet are exact integral multiples of the mass difference between a neutral pion and a muon i.e. 29.318 MeV, in agreement with the general tendency of the mass differences among elementary particles to be close integral/half integral multiple of this mass unit. Further our study reveals that the strength of the SU(3) breaking understood to give members of the same multiplet different masses takes values, discrete as integral multiple of the mass difference between a neutral pion and a muon, the first two massive elementary particles.