Normal Modes of the B=4 Skyrme Soliton

Details Normal Modes of the B=4 Skyrme Soliton Normal Modes of the B=4 Skyrme Soliton

1997-04-02

arxiv.org/abs/hep-th/9704012v2

Phys.Rev.Lett. 79 (1997) 367-370

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, RevTex file and two figures, the former requiring spectrum.eps, the latter requiring 17 eps files sh.sol*.eps which a

Scientific paper

10.1103/PhysRevLett.79.367

The Skyrme model of nuclear physics requires quantisation if it is to match observed nuclear properties. A simple technique is used to find the normal mode spectrum of the baryon number B=4 Skyrme soliton, representing the $\alpha$ particle. We find sixteen vibrational modes and classify them under the cubic symmetry group $O_h$ of the static solution. The spectrum possesses a remarkable structure, with the lowest energy modes lying in those representations expected from an approximate correspondence between Skyrmions and BPS monopoles. The next mode up is the `breather', and above that are higher multipole breathing modes.

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