ar X iv : h ep - t h / 98 11 07 1 v 1 9 N ov 1 99 8 Low Energy States in the
نویسنده
چکیده
We show that any solution of the SU(2) Skyrme model can be used to give a topologically trivial solution of the SU(4) one. In addition, we extend the method introduced in [1] and use harmonic maps from S to CP (N−1) to construct low energy configurations of the SU(N) Skyrme models. We show that one of such maps gives an exact, topologically trivial, solution of the SU(3) model. We study various properties of these maps and show that, in general, their energies are only marginally higher than the energies of the corresponding SU(2) embeddings. Moreover, we show that the baryon (and energy) densities of the SU(3) configurations with baryon number B = 2 − 4 are more symmetrical than their SU(2) analogues. We also present the baryon densities for the B = 5 and B = 6 configurations and discuss their symmetries.
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