Gregory S. Adkins

Stabilization of Chiral Solitons via Vector Mesons

We introduce vector mesons in a chiral lagrangian. The ω meson stabilizes the chiral solitons. We compute the static properties of baryons in this model.

Orbital precession due to central-force perturbations

We calculate the perifocus precession of Keplerian orbits under the influence of arbitrary central-force perturbations. Our result is in the form of a one-dimensional integral that is straightforward to evaluate numerically. We demonstrate the effectiveness of our formula for the case of the Yukawa potential. We obtain analytic results for potentials of the form

Model Independent Relations for Baryons as Solitons in Mesonic Theories

V(r)=\ensuremath{\alpha}{r}^{n}

Order alpha(2) corrections to the decay rate of orthopositronium

and

Positronium hyperfine splitting at order

V(r)=\ensuremath{\alpha}\mathrm{ln}(r/\ensuremath{\lambda})

m \alpha^7

in terms of the hypergeometric function

: light-by-light scattering in the two-photon-exchange channel

_{2}F_{1}(\frac{1}{2}\ensuremath{-}\frac{n}{2},1\ensuremath{-}\frac{n}{2};2;{e}^{2})

Positronium energy levels at ordermα7: Light-by-light scattering in the two-photon-annihilation channel

, where

Higher order corrections to the hydrogen spectrum from the Standard-Model Extension

e

Dirac–Coulomb energy levels and expectation values

is the eccentricity. Our results reproduce the known general relativistic (