Rotation Symmetry and Nonabelian Berry Potential

Vanishing of non-Abelian Berry phases in heavy solitonic baryons.

In this article, we show – using a reasoning applicable to both the excitation spectrum in the chiral bag model and the hyperfine structure of diatomic molecules – that the generic form of a nonabelian Berry potential appears in heavy quark effective theory (HQET) and that the Berry potential vanishes for the solitonheavy meson bound state in the heavy-quark limit. The vanishing of the Berry po...

Nonabelian Berry Phases in Baryons

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 both for light and heavy quark systems are generic and resemble closely the excitation spec...

Heavy-quark Baryons as Skyrmions *

I discuss recent development on the description of heavy-quark (such as charmed and bottom) baryons as one or more heavy mesons " wrapped " by a skyrmion. Amazingly enough, such a description naturally arises when light-quark chiral symmetry and heavy-quark spin symmetry are incorporated in an effective Lagrangian. I interpret the resulting spectrum in terms of nonabelian induced (Berry) potent...

0 Thomas Precession, Berry potential and the Meron.

We begin with a prior observation by one of us that Thomas precession in the nonrelativistic limit of the Dirac equation may be attributed to a nonabelian Berry vector potential. We ask what object produces the nonabelian potential in parameter space, in the same sense that the abelian vector potential arising in the adiabatic transport of a nondegenerate level is produced by a monopole, (cente...

The Molecular Symmetry Group Theory for Trimethylamine-BH3 Addend(BH3 Free of Rotation)