Collective Coordinates and the Absence of Yukawa Coupling in the Classical Skyrme Model

Abstract

In systems with constraints, physical states must be annihilated by the constraints. We make use of this rule to construct physical asymptotic states in the Skyrme model. The standard derivation of the Born terms with asymptotic physical states shows that there is no Yukawa coupling for the Skyrmion. We propose a remedy tested in other solitonic models: A Wilsonian action obtained after integrating the energetic mesons and where the Skyrmion is a quantum state should have a Yukawa coupling.

LATEX

References in corpus (3)

• Skyrmion Quantization and the Decay of the Delta
• CP-Violating Yukawa Couplings in the Skyrme Model and the Neutron Electric Dipole Moment
• Can Plane Wave Modes be Physical Modes in Soliton Models?

Cited by in corpus (1)

• Representation Mixing and Exotic Baryons in the Skyrme Model