PoS - Proceedings of Science
Volume 314 - The European Physical Society Conference on High Energy Physics (EPS-HEP2017) - QCD and Hadronic Physics (Poster Session). Scientific Secretary: Luciano Canton.
Analysis of the particle mass spectrum PDG-2016
S. Sukhoruchkin
Full text: pdf
Pre-published on: January 17, 2018
Published on: March 20, 2018
Abstract
The discreteness in particle masses and parameters of the Standard Model with the period
$\delta$=16$m_e$ was derived earlier from masses of the muon, the pion
and nucleons. Corresponding integer values of this parameter (n=13,17 and 115)
were redetermined from the exactly known
relation between the nucleon masses and the electron mass in CODATA evaluation.
For an independent check of these empirical relations the analysis of nuclear data
and particle masses
from the recent Particle Data Group Compilation PDG-2016 was performed.

On the distribution of differences $\Delta M$ between 137 mass values known with
an accuracy better than 8 MeV the grouping effect in masses was found
at $\Delta M$=2$\delta$, 6$\delta$, 17$\delta$=142\,MeV=$m_\pi$, 12$m_\pi$, 24$m_\pi$,
the constituent quark masses 445-460\,MeV and at the b-quark mass (about 4\,GeV).

Stability of the common CODATA mass--intervals
observed in different mass regions and exactly expressed as 16 electron rest mass
(the tuning effect) is a unique property of particle mass spectrum.
This is in accordance with the suggestion by Y.\,Nambu that empirical relations
in particle masses are important for the development of the Standard Model.
DOI: https://doi.org/10.22323/1.314.0746
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