Abstract

Tuning effect in particle masses manifests itself in integer relations between masses of leptons, quarks, meson and baryons. It includes also dimensionless relation between such well-known SM-parameters as masses of the muon and Z-boson, mμ/MZ=115.9·10−5 coinciding with the QED radiative correction α/2π=115.9·10−5 considered for the electron mass me by V. Belokurov and D. Shirkov. Integer presentation of particle masses (n=1,13,16,17,18,115) for values mμ, fπ, mπ, ΔMΔ, neutron mass and (n=3x16, n=3x18) for constituent quarks M"q=mp,mω/2=780 MeV and Mq=3ΔMΔ=mΞ/3=441 MeV were found with the period δ=16me. More accurate relations with δ were found from precise ratio mn/me=1838.6836605(11). The shift δmn=161.65(6) keV of neutron mass from 115δ-me accounts integer ratio δmN/δmn=8(1.0001(1)) with nucleon mass splitting. With fundamental boson masses the parameters Mq=3ΔMΔ=mΞ/3=441 MeV and M”q =mρ/2=388.8(2) MeV are in ratios MZ/Mq=LZ=206.8 and MW/M”q =LW=207.3 coinciding with lepton ratio L=mμ/me=13·16-1=207.

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