83. The observation of narrow long-lived states ( J/?, ? ) suggested the existence of a new quantum.

83. The observation of narrow long-lived states (J/_, _) suggested the existence of a new quantum number (charm). Recently a new series of massive states has been observed through their decay into lepton pairs (_,__, . . . with masses _ 10 GeV/c2 ). Suppose the observation is taken to imply yet another quantum number (beauty). (a) Estimate roughly the mass of the beauty quark. (b) If this quark has an electric charge of _1/3 indicate how the Gell-
View complete question »                          83. The observation of narrow long-lived states (J/_, _) suggested the existence of a new quantum number (charm). Recently a new series of massive states has been observed through their decay into lepton pairs (_,__, . . . with masses _ 10 GeV/c2 ). Suppose the observation is taken to imply yet another quantum number (beauty). (a) Estimate roughly the mass of the beauty quark. (b) If this quark has an electric charge of _1/3 indicate how the Gell- Mann–Nishijima formula should be modified to incorporate the new quantum number. (c) In the context of the conventional (colored) quark model, estimate the value of the ratio in the region well above the threshold for the production of the beauty. (d) How would you expect the cross section for production of an _(b b bound state) in colliding e+ e-  beams to change if the charge of b quark is +2/3 instead of _1/3? How would the branching ratio to lepton pairs change? What might be the change in its production cross section in hadronic collisions? Discuss this last answer briefly.    

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