Two-fluid model of the Skyrmion
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 F/sub ..pi../, rather than F/sub ..pi../..-->..infinity. By creating covariant field...
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Veröffentlicht in: | Phys. Rev. D; (United States) 1986-04, Vol.33 (7), p.2003-2009 |
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Sprache: | eng |
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Zusammenfassung: | 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 F/sub ..pi../, rather than F/sub ..pi../..-->..infinity. 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 q/sup 2/ dependence of the baryon electromagnetic form factor F(q/sup 2/). Using the impulse approximation at large q/sup 2/, we find the model predicts F(q/sup 2/)approx.exp(-Vertical Barq/sup 2/Vertical Bar/lambda/sup 2/)/q /sup 2/, where lambdaapprox.1 GeV is a calculable scale. Appending a pion form factor of O(1/q/sup 2/), we interpret this in terms of higher-twist corrections, at moderate values of momentum transfer, to a leading term of O(1/q/sup 4/). The dependence on a regularization scale ..mu../sup 2/ and F/sub ..pi../ /sup 2/ is such that this result applies for a specified range of q/sup 2/, ..mu../sup 2/, and F/sub ..pi../ /sup 2/. However, the detailed results of the calculation are such that the large-F/sub ..pi../ /sup 2/ and large-..mu../sup 2/ limits do not commute. |
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ISSN: | 0556-2821 |
DOI: | 10.1103/PhysRevD.33.2003 |