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Published December 21, 1987 | public
Journal Article Open

Dynamics of Skyrmion Collisions in 3 + 1 Dimensions


We calculate classical skyrmion collisions in 3+1 dimensions. Numerical integration of Hamilton's equations for the chiral fields is based on a staggered leap-frog method. We study collisions of defensive hedgehog solitons at various impact parameters for center-of-mass energies of 157, 432, and 885 MeV. Internal excitations of the skyrmions and meson emission are observed. The time evolution of the pion field and momentum and baryon densities is shown, as are deflection functions and inelasticities. Some results for skyrmion-antiskyrmion annihilation are presented.

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©1987 The American Physical Society Received 19 August 1987 Our calculations have been carried out under the auspices of both the U.S. Department of Energy (National Magnetic Fusion Energy Computer Center at Lawrence Livermore Laboratory) and National Science Foundation (San Diego Supercomputer Center). One of us (H.M.S.) acknowledges the support of the computing center at the National Science Foundation Institute of Theoretical Physics in Santa Barbara, CA. This work has been supported by the National Science Foundation under Grants No. PHY85-05682 and No. PHY86-04197 at Caltech, and Grants No. PHY86-11103 and No. PHY87-06748 at Westmont College, and by U.S. Department of Energy under Contract No. DE-FG03-87ER40347 at California State University, Northridge.


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