The $α$ particle as a canonically quantized multiskyrmion

Details The $α$ particle as a canonically quantized multiskyrmion The $α$ particle as a canonically quantized multiskyrmion

2006-07-31

arxiv.org/abs/hep-ph/0607339v1

Phys.Rev. C74 (2006) 025203

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 2 figures. accepted to Phys. Rev. C

Scientific paper

10.1103/PhysRevC.74.025203

The rational map approximation to the solution to the SU(2) Skyrme model with baryon number B=4 is canonically quantized. The quantization procedure leads to anomalous breaking of the chiral symmetry, and exponential falloff of the energy density of the soliton at large distances. The model is extended to SU(2) representations of arbitrary dimension. These soliton solutions capture the double node feature of the empirical $\alpha$ particle charge form factor, but as expected lead to a too compact matter distribution. Comparison to phenomenology indicates a preference for the fundamental representation.

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