Constituent quarks in the Standard Model

摘要

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, m_(μ/)M_Z=115.9·10~(-5) coinciding with the QED radiative correction α/2π=115.9·10~(-5) considered for the electron mass m_e by V. Belokurov and D. Shirkov. Integer presentation of particle masses (n=1,13,16,17,18,115) for values m_μ, f_π, m_π, ΔM_Δ, neutron mass and (n=3x16, n=3x18) for constituent quarks M_q~″=m_p, m_w/2=780 MeV and M_q=3ΔM_Δ=m_Ξ/3=441 MeV were found with the period δ=16m_e. More accurate relations with δ were found from precise ratio m_n/m_e=1838.6836605(11). The shift δm_n=161.65(6) keV of neutron mass from 115δ-m_e accounts integer ratio δm_N/δm_n=8(1.0001(1)) with nucleon mass splitting. With fundamental boson masses the parameters M_q=3ΔM_Δ=m_Ξ/3=441 MeV and M_q″=m_ρ/2=388.8(2) MeV are in ratios Mz/M_q=L~z=206.8 and M_w/M_q~″=L~W=207.3 coinciding with lepton ratio L=m_μ/m_e= 13·16-1=207.