Exploring the generalized loosely bound Skyrme model

Abstract

The Skyrme model is extended with a sextic derivative term - called the BPS-Skyrme term - and a repulsive potential term - called the loosely bound potential. A large part of the model's parameter space is studied for the 4-Skyrmion which corresponds to the Helium-4 nucleus and emphasis is put on preserving as much of the platonic symmetries as possible whilst reducing the binding energies. We reach classical binding energies for Helium-4 as low as 0.2%, while retaining the cubic symmetry of the 4-Skyrmion, and after taking into account the quantum mass correction to the nucleon due to spin/isospin quantization, we get total binding energies as low as 3.6% - still with the cubic symmetry intact.

LaTeX: 26 pages, 13 figures, 1 table; V2: improved definition of the order parameter in sec. 2.2

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• A Smörgåsbord of Skyrmions
• Quasi-universal relations for generalized Skyrme stars
• Near-BPS baby Skyrmions
• Complex BPS Skyrmions with real energy
• Dielectric Skyrmions
• Effect of Coulomb energy on Skyrmions
• Nucleon-nucleon potential from skyrmion dipole interactions
• Background fields and self-dual Skyrmions
• Near-BPS Skyrmions
• Adding crust to BPS Skyrme neutron stars
• Nonlinear rigid-body quantization of Skyrmions
• False vacuum Skyrmions revisited
• BPS Skyrme neutron stars in generalized gravity