1. Paul Sutcliffe University of Kent

2. Work with Richard Battye, Michael Atiyah, Steffen Krusch, Nick Manton. Skyrmions and the pion mass, Battye & Sutcliffe, Nucl. Phys. B705, 384 (2004). Skyrmions, instantons, mass and curvature, Atiyah & Sutcliffe, Phys. Lett. B605, 106 (2005). Spinning Skyrmions and the Skyrme parameters, Battye, Krusch & Sutcliffe, hep-th/0507279.

3.  The Skyrme model.  Skyrme parameters from spinning Skyrmions.  Multi-Skyrmions; shells & crystals.  New shapes for multi-Skyrmions.  Alpha particle model & cubes.  Conclusion.

4. Nonlinear pion theory: 3 parameters, Topological solitons (Skyrmions); Winding number, B, identified with Baryon number.

5. Use energy and length units of Rescaled pion mass, Two commonly used values;

6. B=1. Conserved quantities; spin J, and isospin I. Isospin rotation For B=1 Skyrmion, J=I. Adkins, Nappi & Witten (1983); rigid body approximation.

9. A problem with shells.

11. shell crystal

16. The Skyrmion version of this is configurations formed from B=4 cubes. B=12 Triangular symmetry. Are there 3 cubes here?

17. same orientation 90 0 twist lowers energy Colour Skyrmions using pion field direction

18. no twist, face in 120 0 twist, edge in ? ?

19.  Skyrme parameters should be changed from the values commonly used.  A large pion mass changes the shapes of multi-Skyrmions.  Symmetric shells are replaced by less symmetric non-spherical structures.  Crystal chunks and cubes may play an important role.  More field simulations currently in progress.