Heidelberg 2007 – wissenschaftliches Programm

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T: Fachverband Teilchenphysik

T 616: Theorie Allgemein

T 616.2: Vortrag

Freitag, 9. März 2007, 17:05–17:25, HS Mathematik

An empirical one - parameter equation for elementary particle masses — •Karl Otto Greulich — Fritz Lipmann Institut ,Jena, Germany

Calculating the masses of elementary particles is still difficult and requires precise knowledge on a number of parameters. For example the masses of quarks which constitute the hadrons are known only within a considerable uncertainty. Here it is shown that the simple formula

m / me = 0.5 n * (re * mp/ 2)**3

gives the masses in multiples of the electron mass of 18 major elementary particles (except the muon) with an error of 0 to 10.2 %, 9 of them with better than 1%. Thereby, the dimensionless term re is the electron radius in multiples of the Planck length, the dimensionless term mp is the proton mass in multiples of the Planck mass and n = 1, 2, 3 ........ For the masses obtained with k = 3, 9, 17, 19 and 21, no particles are found, suggesting that some short living particles may have such masses. Thus, as an empirical rule of thumb, the masses of many particles can be estimated with one single free parameter without the need of knowing quark masses and binding terms with high accuracy.