Authors: Syed Afsar Abbas
We study the two-flavour topological Skyrme model with lagrangian L = L2 + L4 , and point out that, in spite of all the successes attibuted to it, as to the electric charges, it predicts Q(proton) = 1/2 and Q(neutron) = − 1/2 . This is in direct conflict with the experimental values of proton and neutron charges. This should be considered a failure of the Skyrme model. The Wess-Zumino anomaly term however, comes to its rescue and provides additional contribution which lead to the the correct charges for baryons as per the standard Gell-Mann- Nishijima expression. But as per conventional understanding, that the Skyrme model gives a conserved atomic mass number A=Z+N, is not fulfilled in the above picture. We suggest a new consistent scenario wherein on quantization, a dual description beyond the above model arises, and which provides a framework which is fully compatible with nuclear physics. This picture finds justfication with respect to the surprising 1949 succcessful calculation by Steinberger for the decay π0 → γγ.
Comments: 16 Pages.
[v1] 2018-05-04 03:43:12
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