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Which Omega_{b} is the real one or are both of them real?

Tommaso Dorigo has three interesting postings about the discovery of Ω

_{b}baryon containing two strange quarks and one bottom quark. So interesting that I gave up my decision to concentrate totally in the attempt to survive through the horrors of MATLAB assisted numerics related to a quantum criticality based model for coupling constant evolution.

In chronological order the postings of Tommaso are Nitpicking Ω_{b} discovery, Nitpicking Ω_{b} discovery: part II, and finally Real discovery of Ω_{b} released by CDF today. Also Peter Woit has a posting on the subject.

As the titles of Tommaso's postings suggest, Ω_{b} has been discovered -even twice. This is not a problem. The problem is that the masses of these Ω_{b}s differ quite too much. D0 collaboration discovered Ω_{b} with a significance of 5.4 sigma and a mass of 6165 +/- 16.4 MeV. Yesterday the CDF collaboration discovered the same particle with a significance of 5.5 sigma and a mass of 6054.4 +/- 6.9 MeV. Both D0 and CDF agree that the particle is there at better than 5 sigma significance and also that the other collaboration is wrong. They can’t both be right… Or could they? In some other Universe that that of standard model and all its standard generalizations, maybe in some less theoretically respected Universe, say TGD Universe?

The mass difference between the two Ω_{b} candidates is 111 MeV, which represents the mass scale of strange quark. TDG inspired model for quark masses relies on p-adic thermodynamics and predicts that quarks can appear in several p-adic mass scales forming a hierarchy of half octaves - in other words mass scales comes as powers of square root of two. This property is absolutely essential for the TGD based model for masses of even low lying baryons and mesons where strange quarks indeed appear with several different p-adic mass scales. It also explains the large difference of the mass scales assigned to current quarks and constituent quarks. Light variants of quarks appear also in nuclear string model where nucleons are connected by color bonds containing light quark and antiquark at their ends.

Ω_{b} contains two strange quarks and the mass difference between the two candidates is of order of mass of strange quark. Could it be that both Ω_{b}s are real and the discrepancy provides additional support for p-adic length scale hypothesis?

This would not be the first piece of experimental evidence for p-adic length scale hypothesis. During years the experimental indications supporting p-adic length scale hypothesis have been accumulating steadily. I would be happy to have time to do the little checks just now but it must wait for a few weeks until (as I hope) I get this maddening computational project to a good shape.

** Addition (2.7. 2009):** I finally found time to perform the check. The prediction of p-adic mass calculations for the mass of s quark is 105 MeV (see page 12 of p-Adic Particle Massivation: Hadron Masses) so that the mass difference can be understood if the second s-quark in Ω_{b} has mass which is twice the "standard" value. Therefore the strange finding about Ω_{b} gives additional support for quantum TGD. I am just wondering how much is still required to wake up the sleeping colleagues from their F-theoretic dreams.

The reader interested in p-adic mass calculations in the case of hadrons and willing to do the little check her- or himself can consult the chapter p-Adic Particle Massivation: Hadron Masses of "p-Adic Length Scale Hypothesis And Dark Matter Hierarchy".

## 1 Comments:

Great Matti! I am glad you are thinking about these new results. So much to do - yikes!

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