Discreteness in particle masses and parameters of the Standard Model

Abstract

We performed simultaneous analysis of the discreteness in particle mass spectrum and relations in nuclear parameters connected with nuclear tensor force (one-meson exchange dynamics). Analysis of particle masses is in line with the suggestion that empirical relations in masses could be used for the development of the Standard Model. Due to a closeness of the pion mass splitting δmπ =4594 keV to the 9me=4599 keV (me is the electron mass) the parameter of the discreteness in particle mass spectrum is close to the doubled value of the pion β-decay energy 16me=δ ≈ 2dδme - 2me (tuning effect in particle masses). This discreteness was found also in parameters of correlations in nuclear excitations and binding energies. Common tuning effect includes also the nucleon mass splitting δmN=1293.3 keV which belongs to the fundamental manifestation of the nucleon structure. The value δmN and its 1/8 part δmN/8=161 keV were found also in the grouping effect in nuclear excitations and spacing. In the tuning effect in particle masses the value (1/8) δmN=161 keV accounts the shift of the exactly known neutron mass mn relative to integer number of the electron rest mass (so-called COD ATA relation). We consider these correlations, the possible role of the lepton ratio and the possible hints on the symmetry in the fermion spectra as the new approach to the SM-development.