Stability of the B=2 hedgehog in the Skyrme model

Details Stability of the B=2 hedgehog in the Skyrme model Stability of the B=2 hedgehog in the Skyrme model

1995-09-29

arxiv.org/abs/hep-ph/9509421v1

Nucl.Phys. A602 (1996) 347-374

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages Latex, 9 uuencoded figures included

Scientific paper

10.1016/0375-9474(96)00099-1

We study the unstable modes of the baryon number two hedgehog of the Skyrme model on a three dimensional spatial lattice. An expansion of the Skyrme Lagrangian around the hedgehog configuration provides the equations of motion for the fluctuation fields solvable numerically via a relaxation method. We find the negative energy modes and, by evolving the excited hedgehog in time, a breakup into two separated solitonic configurations is obtained. Different paths of descent for the receding Skyrmions are presented and the possibility of determining the metric structure of the collective-coordinate manifold is discussed.

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