Nonperturbative self-consistent unitary loop corrections to Skyrmion masses.

Abstract

Quantum chromodynamics (QCD) effectively reduces to a nonlinear meson theory in the color-number {ital N}{sub {ital c}}{r arrow}{infinity} limit. The nucleon and {Delta} masses arising as solitons from such a theory usually turn out to be too large if phenomenological values are used for the meson parameters. Within a static-baryon approximation, however, we find that soft nonperturbative self-consistent unitary hadron-loop corrections (corresponding to quark-loop higher-1/{ital N}{sub {ital c}} orders in QCD) can lower these masses by the kind of magnitude needed to make them consistent with experiment, whereas a first-order 1/{ital N}{sub {ital c}} correction is much smaller.