Exploring the generalized loosely bound Skyrme model

摘要

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 while 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.