The geometry of the elementary particle
In Sections 18.1 through 18.6 of the present chapter, and then in Section 18.7, we have looked at the geometry of the nucleon quark from two different viewpoints, and we have thereby obtained two somewhat different geometries.If these viewpoints are logically consistent with one another, the different geometrical aspects should also be consistent.Whether or not this is actually the case is not clear from the present studies. In this connection, it should be noted that the duty of a physicist is not to present a fully self-consistent model (although that of course is the desired goal), but rather to present all of the information which can be brought to bear on the problem at hand - whether or not this information seems to contradict itself.In this respect the physicist differs from the trial. lawyer — who introduces only the evidence that is favorable to his side of the argument. Historically, it is often the existence of recognized contradictions which leads to the next step in the development of a theoretical model.
In the present studies, we have not only set forth arguments which suggest a light t-quark approach to hadron structure (in which all binding energies are small), but we have also pointed out from time-to-time various deficiencies in the SU(3) approach to this same problem.One reason we have done this is that when the multitude of papers on SUM and its applications are perused, the feeling seems to emerge (at least to the present author) that many of the proponents of SUM have an unconscious tendency to act more in the role of trial lawyers than of physicists. Many man-years of research work have been expended in marshaling the evidence which appears to be favorable to the SU(3) viewpoint, but the task of assembling the (numerous) deficiencies or contradictions in the SU(3) approach has received far less attention.From the standpoint of establishing a firm foundation for the use of SUM techniques in particle physics, these two tasks would seem to be of equal importance.
In the next chapter we conclude our basic studies of the hadron resonances with an examination of the electromagnetic aspects of these resonances.
KeywordsRotational Band Oblate Spheroid Baryon Resonance Spinor Pair Spin Angular Momentum
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