Nonabelian Berry Phases in Baryons

Details Nonabelian Berry Phases in Baryons Nonabelian Berry Phases in Baryons

1993-01-15

arxiv.org/abs/hep-ph/9301242v1

Annals Phys. 227 (1993) 175-205

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex 35 pages (2 figures not added, will be faxed if requested), NTG-92-20

Scientific paper

10.1006/aphy.1993.1079

We show how generic nonabelian gauge fields can be induced in baryons when a hierarchy of fast degrees of freedom is integrated out. We identify them with nonabelian Berry potentials and discuss their role in transmuting quantum numbers in bag and soliton models of baryons. The resulting baryonic spectra for both light and heavy quark systems are generic and resemble closely the excitation spectrum of diatomic molecules. The symmetry restoration in the system, i.e., the electronic rotational invariance in diatomic molecules, the heavy-quark symmetry in heavy baryons etc. is interpreted in terms of the vanishing of nonabelian Berry potentials that otherwise govern the hyperfine splitting.

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