ElectronPositron Annihilation Provides Evidence of Three Colors for QuarksOne of the definitive experiments which supports the quark model is the high energy annihilation of electrons and positrons. The annihilation can produce muonantimuon pairs or quarkantiquark pairs which in turn produce hadrons. The hadron events are evidence of quark production. The ratio of the number of hadron events to the number of muon events gives a measure of the number of "colors" of the quarks, and the evidence points to five quarks with three colors. With the more recent evidence for the top quark, these experiments provide support for the standard model of six quarks with three colors. The models which are evoked to explain the experimental results illustrated below involve the calculated crosssections for the scattering events. It is helpful that the same type of scattering events, i.e., electronpositron scattering, can yield either two muons (leptons) or a variety of hadron products, any one of which suggests the creation of quarks. The experimental handle is then the relative frequency of the hadron events compared to the muon events. The calculated ratio of the products of the scattering process is the ratio of the crosssections, and the crosssection σ for each product is proportional to the square of its charge. Therefore the ratio of the products R depends upon the ratio of the squares of the electric charges of the products. The calculated ratio then depends upon the number of types of quarkantiquark pairs which can be produced. So it has the form If we use the five quarks which would be available in this energy regime assuming only one color, the u, d, s, c and b quarks, then we get which is obviously wrong compared to the experiment. But when we take into account the three colors, we obtain This produces good agreement with the experimental observations over a wide range of energy when the quantum chromodynamic corrections are applied. Obviously, there is a great deal which is not being said here about the details of the calculations. But hopefully it can be seen that this kind of experimental evidence is a strong check on the standard quark model. It includes the model's charges of 2e/3 and e/3, the five types of quarks, and the three colors. The sixth quark is not seen because the energies used are not sufficient to produce the topantitop quark pair. 
Index Particle concepts Reference Rohlf Ch. 18 
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Jets Provide Evidence for Quark Confinement Models

Index Particle concepts Reference Rohlf Ch. 18  
HyperPhysics***** Quantum Physics  Go Back 