Thursday, July 05, 2007

Does the spin of hadron correlate with its super-canonical boson content?

The revision of hadronic mass calculations is still producing pleasant surprises. The explicit comparison of the super-canonical conformal weights associated with spin 0 and spin 1 states on one hand and spin 1/2 and spin 3/2 states on the other hand (see this) demonstrates that the difference between these states could be understood in terms of super-canonical particle contents of the states by introducing only single additional negative conformal weight sc describing color Coulombic binding . sc is constant for baryons(sc=-4) and in the case of mesons non-vanishing only for pions (sc=-5) and kaons (sc=-12). This leads to an excellent prediction for the masses also in the meson sector since pseudoscalar mesons heavier than kaon are not Golstone boson like states in this model. Deviations of predicted and actual masses are typically below per cent and second order contributions can explain the discrepancy. There is also consistency with string bounds from top quark mass.

The correlation of the spin of quark-system with the particle content of the super-canonical sector increases dramatically the predictive power of the model if the allowed conformal weights of super-canonical bosons are assumed to be identical with U type quarks and thus given by (5,6,58) for the three generations. One can even consider the possibility that also exotic hadrons with different super-canonical particle content exist: this means a natural generalization of the notion of Regge trajectories. The next task would be to predict the correlation of hadron spin with super-canonical particle content in the case of long-lived hadrons.

For the revised p-adic mass calculations hadron masses see the revised chapter p-Adic mass calculations: hadron masses of "p-Adic Length Scale Hypothesis and Dark Matter Hierarchy".


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