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Nonabelian Berry Phases in Baryons

1993/01/15 by H.K. Lee, H. K. Lee, M. A. Nowak +4 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Chromodynamics and Particle Interactions #Quantum Mechanics and Non-Hermitian Physics #hep-ph #nucl-th

paper · pdf · doi:10.1006/aphy.1993.1079

published as Annals Phys. 227 (1993) 175-205 · Latex 35 pages (2 figures not added, will be faxed if requested), NTG-92-20

arxiv created 1993/01/15 · openalex publication_date 1993/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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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