Backreacted Coulomb energy in the Skyrme model
Abstract The Skyrme model is extended with the Maxwell action and a source term for the gauge field. We consider the specialized case of vanishing isospin states, such that only an electric potential is turned on and study the backreaction onto the Skyrme fields. In particular, we study Skyrmions wi...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2025)150 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823863454654529536 |
|---|---|
| author | Sven Bjarke Gudnason James Martin Speight |
| author_facet | Sven Bjarke Gudnason James Martin Speight |
| author_sort | Sven Bjarke Gudnason |
| collection | DOAJ |
| description | Abstract The Skyrme model is extended with the Maxwell action and a source term for the gauge field. We consider the specialized case of vanishing isospin states, such that only an electric potential is turned on and study the backreaction onto the Skyrme fields. In particular, we study Skyrmions with baryon numbers B = 4, 8, 12, 16 and 40. We find, in agreement with physical expectations, that the Coulomb backreaction is most pronounced for large Skyrmions and find furthermore that the dynamics of the theory is more sensitive to the backreaction than the ground states (global minimizers of the energy). Calibrating the model to Carbon-12, we find excellent agreement of the masses of the studied Skyrmions — within 1.86% of experimental data. The Coulomb energies are slightly larger than phenomenological fits suggest, but only by about 3 – 22%, whereas the radii are within 15% errors, with the largest errors on the smallest baryon number (B = 4) and the smallest errors on the large baryon numbers. |
| format | Article |
| id | doaj-art-1c98852a4342425ca4e28369da364b54 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-1c98852a4342425ca4e28369da364b542025-02-09T12:07:28ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025115910.1007/JHEP01(2025)150Backreacted Coulomb energy in the Skyrme modelSven Bjarke Gudnason0James Martin Speight1Institute of Contemporary Mathematics, School of Mathematics and Statistics, Henan UniversitySchool of Mathematics, University of LeedsAbstract The Skyrme model is extended with the Maxwell action and a source term for the gauge field. We consider the specialized case of vanishing isospin states, such that only an electric potential is turned on and study the backreaction onto the Skyrme fields. In particular, we study Skyrmions with baryon numbers B = 4, 8, 12, 16 and 40. We find, in agreement with physical expectations, that the Coulomb backreaction is most pronounced for large Skyrmions and find furthermore that the dynamics of the theory is more sensitive to the backreaction than the ground states (global minimizers of the energy). Calibrating the model to Carbon-12, we find excellent agreement of the masses of the studied Skyrmions — within 1.86% of experimental data. The Coulomb energies are slightly larger than phenomenological fits suggest, but only by about 3 – 22%, whereas the radii are within 15% errors, with the largest errors on the smallest baryon number (B = 4) and the smallest errors on the large baryon numbers.https://doi.org/10.1007/JHEP01(2025)150Differential and Algebraic GeometrySolitons Monopoles and Instantons |
| spellingShingle | Sven Bjarke Gudnason James Martin Speight Backreacted Coulomb energy in the Skyrme model Journal of High Energy Physics Differential and Algebraic Geometry Solitons Monopoles and Instantons |
| title | Backreacted Coulomb energy in the Skyrme model |
| title_full | Backreacted Coulomb energy in the Skyrme model |
| title_fullStr | Backreacted Coulomb energy in the Skyrme model |
| title_full_unstemmed | Backreacted Coulomb energy in the Skyrme model |
| title_short | Backreacted Coulomb energy in the Skyrme model |
| title_sort | backreacted coulomb energy in the skyrme model |
| topic | Differential and Algebraic Geometry Solitons Monopoles and Instantons |
| url | https://doi.org/10.1007/JHEP01(2025)150 |
| work_keys_str_mv | AT svenbjarkegudnason backreactedcoulombenergyintheskyrmemodel AT jamesmartinspeight backreactedcoulombenergyintheskyrmemodel |