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Spinning Skyrmions and the Skyrme parameters

Battye, Richard A., Krusch, Steffen, Sutcliffe, Paul M. (2005) Spinning Skyrmions and the Skyrme parameters. Physics Letters B, 626 (1-4). pp. 120-126. ISSN 0370-2693. (doi:10.1016/j.physletb.2005.08.097) (KAR id:6060)

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http://dx.doi.org/10.1016/j.physletb.2005.08.097

Abstract

The traditional approach to fixing the parameters of the Skyrme model requires the energy of a spinning Skyrmion to reproduce the nucleon and delta masses. The standard Skyrme parameters, which are used almost exclusively, fix the pion mass to its experimental value and fit the two remaining Skyrme parameters by approximating the spinning Skyrmion as a rigid body. In this paper we remove the rigid body approximation and perform numerical calculations which allow the spinning Skyrmion to deform and break spherical symmetry. The results show that if the pion mass is set to its experimental value then the nucleon and delta masses can not be reproduced for any values of the Skyrme parameters; the commonly used Skyrme parameters are simply an artifact of the rigid body approximation. However, if the pion mass is taken to be substantially larger than its experimental value then the nucleon and delta masses can be reproduced. This result has a significant effect on the structure of multi-Skyrmions.

Item Type: Article
DOI/Identification number: 10.1016/j.physletb.2005.08.097
Uncontrolled keywords: Current-Algebra; Model; Soliton; Dynamics
Subjects: Q Science > QA Mathematics (inc Computing science)
Q Science > QC Physics
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Steffen Krusch
Date Deposited: 04 Sep 2008 17:57 UTC
Last Modified: 06 May 2020 03:01 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/6060 (The current URI for this page, for reference purposes)
Krusch, Steffen: https://orcid.org/0000-0003-3126-8635
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