Speaker
Description
Lattice-QCD recent results and calculations of Daison-Schwinger equation by
C.Roberts et al. allowed to estimate the constituent quark mass
$M_q$ about 400~MeV. This is in agreement with the value 0f 441~MeV in the
modern constituent quark model (NRCQM, by L.Glozman et al.) where it is
determined as 1/3 of the mass of $\Xi$-octet hyperon.
Earlier the discreteness in mass values of nucleons, the
muon, the pion and other particles with the period of 16 electron masses
(the period of $\delta$=16$m_e$ and numbers n=13, 17 etc. for the muon, the pion
and the other particles) was found out from the analysis of exactly known
relation between nucleon masses and the electron mass (CODATA relation) [1].
For an independent check of the empirical relations (found earlier by
Y.Nambu, A.Hautot, G.Mac-Gregor and others) particle masses
from recent Particle Data Group (PDG) 2016 compilation was performed.
On the distribution of all differences between 140 particles known with
accuracy better than 5 MeV the grouping effect of masses of the pion, the muon
and the constituent quark (445-460 MeV) was confirmed.
The stability of mass-intervals in the region of the bottom-quark mass is discussed.\
- S.I.Sukhoruchkin, Nucl. Part. Phys. Proc. 270-272 (2016) 211.
