Paul Sutcliffe University of Kent. Work with Richard Battye, Michael Atiyah, Steffen Krusch, Nick Manton. Skyrmions and the pion mass, Battye & Sutcliffe,

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Presentation transcript:

Paul Sutcliffe University of Kent

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/

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

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

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

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

A problem with shells.

shell crystal

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

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

no twist, face in twist, edge in ? ?

 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.