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Two-fluid model of the Skyrmion

John P. Ralston

  • Los Alamos National Laboratory, Theory Division, T-8, MS B285 Los Alamos, New Mexico 87545 and Department of Physics and Astronomy, University of Kansas, Lawrence, Kansas 66045

Phys. Rev. D 33, 2003 – Published 1 April, 1986

DOI: https://doi.org/10.1103/PhysRevD.33.2003

Abstract

We consider the field-theory description of the Skyrme model incorporating quantum fluctuations of a condensed phase. This viewpoint clarifies the usefulness of the model for applications at the physical value of Fπ, rather than Fπ→∞. By creating covariant field-theory states associated with a translational-dependent condensate, we emphasize the effects of fluctuations and coherence in a calculation of the q2 dependence of the baryon electromagnetic form factor F(q2). Using the impulse approximation at large q2, we find the model predicts F(q2)∼exp(-‖q2‖/λ2)/q 2, where λ∼1 GeV is a calculable scale. Appending a pion form factor of O(1/q2), we interpret this in terms of higher-twist corrections, at moderate values of momentum transfer, to a leading term of O(1/q4). The dependence on a regularization scale μ2 and Fπ2 is such that this result applies for a specified range of q2, μ2, and Fπ2. However, the detailed results of the calculation are such that the large-Fπ2 and large-μ2 limits do not commute.

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