2 00 3 A QCD Generated Mass Spectrum

Using the interquark potential we obtain a formula for the mass spectrum of elementary particles. The simple formula gives the masses of all known elementary particles with an error of about three percent or less. This includes the recently discovered Ds(2317) and 1.5GeV Pentaquark particles. One of the problems that has eluded a solution is that of a mass spectrum for elementary particles. Such a formula would be intimately tied up with inter quark interactions. We will now use the QCD potential to deduce such a formula, which as will be seen, surprisingly covers all known elementary particles. The well known QCD potential is given by [1, 2] U(r) = − α r + βr (1) where in units ¯ h = c = 1, α ∼ 1. The first term in (1) represents the Coulumbic part while the second term represents the confining part of the potential. Let us consider the pion made up of two quarks along with a third quark, one at the centre and two at the ends of interval of the order of the Compton wavelength, r. Then the central particle experiences the force