On Variable Quark Masses Derived from Meson Spectra

Author(s)

Abstract
The masses of the 5 known quarks together with a zero point quark-antiquark interaction energy d_m0 in the scalar strong interaction hadron theory SSI are determined from a meson mass formula using the masses of 6 mesons. Five different combinations of 6 ground state mesons each led to 5 sets of quark masses and d_m0. Using these results, the masses of the remaining 16 ground state mesons were calculated using the same formula. For the “nominal” combination, the root mean square of all deviations from data is < 0.5 %, with a maximum deviation of 1.6 %. The invisible quark masses are not fixed natural constants like the electron mass. Each quark has some natural mean mass, around 0.64 GeV for the u and d quarks and 0.72 GeV for the s quark. These values can however vary 10% dependent at least upon the flavor of its companion antiquark in the meson and its spin.
The set ^. and ⁰ is the only isotriplet in the ground state meson spectra. They share the same quark content and strong interaction not found in the remaining isodoublet mesons. The allows for a perturbational calculation of the mass difference of ^.and ⁰ due to the charge. Via a mathematically consistent interpretation of the resulting formula for this difference, the calculated value agrees with the measured 4.6 MeV within 0.02 %.

Keywords
scalar strong interaction hadron theory SSI, pseudoscalar mesons, vector mesons, quark masses, meson masses, meson mass formula, zero point potential, “marble” model for charged mesons, charge contribution to meson mass. pion isotriplet, isodoublet mesons.

Cite this paper
F. C. Hoh, On Variable Quark Masses Derived from Meson Spectra , SCIREA Journal of Physics. Volume 9, Issue 6, December 2024 | PP. 245-255. 10.54647/physics140661

References