Confinement, Meson Spectra and Pions π±, π0 Mass Difference

Abstract
“Color confinement” of quarks is an unsolved problem in physics according to Wikipedia. This is explicitly resolved in the Scalar Strong Interaction hadron theory SSI here. Using SSI, the mass difference between charged π^± and neutral π⁰ pions is estimated via a “marble” model to be =4.3 MeV, 6.5% off the measured 4.6 MeV, The measured charge radius r_m≈0.66 fm gives a far too small classical value e²/r_m≈2.2 MeV. This large mass difference is mostly tied to the strong interaction potential between the quarks in their invisible relative space of quarks. The necessary background SSI material in the Appendix includes a meson mass formula that approximately accounts for ground state meson spectra, side-stepping “lattice” calculations on computers.

Keywords
scalar strong interaction hadron theory SSI, QCD, standard model, quark and meson equations of motion, relative space between quarks, hidden variables, confinement potentials in SSI, mass formula for meson spectra, “marble” model for π^± , pions π^±-π⁰ mass difference.

Cite this paper
F. C. Hoh, Confinement, Meson Spectra and Pions π^±, π⁰ Mass Difference , SCIREA Journal of Physics. Volume 9, Issue 5, October 2024 | PP. 202-215. 10.54647/physics140647

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