Authors: Syed Afsar Abbas
An extremely puzzling problem of particle physics is, how come, no baryon number arises mathematically to describe the spin-1/2 octet baryons in the Eightfold way model. Recently the author has shown that all the canonical proposals to provide a baryon number to solve the above problem, are funda- mentally wrong. So what is the resolution of this conundrum? Here we show that the topological Skyrme-Witten model which takes account of the Wess- Zumino anomaly comes to our rescue. In contrast to the two avour model, the presence of this anomaly term for three avours, shows that the quantal states are monopolar harmonics, which are not functions but sections of a ber bun- dle. This generates a profoundly signicant "right hypercharges", which lead to making the adjoint representation of SU(3) as being the ground state. This provides a topologically generated baryon number for the spin-1/2 baryons in the adjoint representation, to connect to the Eightfold way model baryon octet states. This solves the mystery of the missing baryon number in the Eightfold way model.
Comments: 6 Pages.
[v1] 2017-09-13 03:37:11
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