Last minute prediction!

While updating the chapter about the p-adic model for hadronic masses (see this) I found besides some silly numerical errors also a gem that I had forgotten. For pion the contributions to mass squared from color-magnetic spin-spin interaction and color Coulombic interaction and super-symplectic gluons cancel and the mass is in excellent approximation given by the m²(π)=2m²(u) with m(u)=m(d) =0.1 GeV in good approximation. That only quarks contribute is the TGD counterpart for the almost Goldstone boson character of pion meaning that its mass is only due to the massivation of quarks. The value of p-adic prime is p≈ 2^k, with k(u)=k(d)=113 and the mass of charged pion is predicted with error of .2 per cent.

If the reduction of pion mass to mere quark mass holds true for all scaled variants of ordinary hadron physics, one can deduce the value of u and d quark masses from the mass of the pion of M₈₉ hadron physics and vice versa. The mass estimate is 145 GeV if one identifies the bump claimed by CDF (see this and this) as M₈₉ pion. Recall that D0 did not detect the CDF bump (see this). I have discussed possible reasons for the discrepancy in an earlier posting in terms of the hypothesis that dark quarks are in question.

From this one can deduce that the p-adic prime p≈ 2^k for the u and d quarks of M₈₉ physics is k=93 using m(u,93)= 2^(113-93)/2m(u,113), m(u,113)≈ .1 MeV. For top quark one has k=94 so that a very natural transition takes place to a new hadron physics. The predicted mass of π(89) is 144.8 GeV and consistent with the value claimed by CDF. What makes the prediction non-trivial is that possible quark masses comes as half-octaves meaning exponential sensitivity with respect to the p-adic length scale.

The common mass of u(89) and d(89) quarks is 102 GeV in good approximation and quark jets with mass peaked around 100 GeV could serve as a signature for them. The direct decays of the π(89) to M₈₉ quarks are of course non-allowed kinematically.

For a summary about indications for M₈₉ see appropriate section in the chapter New Particle Physics Predicted by TGD: Part I of "p-Adic Length Scale Hypothesis and Dark Matter Hierarchy". See also the short pdf article Is the new boson reported by CDF pion of M89 hadron physics? at my homepage.