Fractional quantum numbers deduced from experimental ground state meson spectra

author: R. Herrmann

abstract:
Based on the Caputo definition of the fractional derivative the ground state spectra of mesons are classified as multiplets of theĀ  fractional rotation group. The comparison with the experimental values leads to the conclusion, that quarks carry an up to now unrevealed fractional multiplicative quantum number, which we call fractional hyper charge.

download: arxiv: arXiv:1003.5246v1 [physics.gen-ph]