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

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

1996-02-09

arxiv.org/abs/nucl-th/9602014v1

Phys.Lett. B389 (1996) 1-3

Physics

Nuclear Physics

Nuclear Theory

LATEX

Scientific paper

10.1016/S0370-2693(96)01235-X

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.

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