| Автор | Tom Weidig |
| Дата выпуска | 1999-11-01 |
| dc.description | We analyse the structure of minimal-energy solutions of the baby Skyrme model for any topological charge n; the baby multi-skyrmions. Unlike in the (3+1)D nuclear Skyrme model, a potential term must be present in the (2+1)D baby Skyrme model to ensure stability. The form of this potential term has a crucial effect on the existence and structure of baby multi-skyrmions. The simplest holomorphic baby Skyrme model has no known stable minimal-energy solution for n greater than one. The other baby Skyrme model studied in the literature possesses non-radially-symmetric minimal-energy configurations that look like `skyrmion lattices' formed by skyrmions with n = 2. We discuss a baby Skyrme model with a potential that has two vacua. Surprisingly, the minimal-energy solution for every n is radially symmetric and the energy grows linearly for large n. Further, these multi-skyrmions are tighter bound, have less energy and the same large r behaviour than in the model with one vaccum. We rely on numerical studies and approximations to test and verify this observation. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | The baby Skyrme models and their multi-skyrmions |
| Тип | paper |
| DOI | 10.1088/0951-7715/12/6/303 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 12 |
| Первая страница | 1489 |
| Последняя страница | 1503 |
| Аффилиация | Tom Weidig; Centre for Particle Theory, Mathematical Sciences, University of Durham, UK |
| Выпуск | 6 |
