Ma, N, Halcrow, CJ and Zhang, H (2019) Effect of the Coulomb energy on Skyrmions. Physical Review C - Nuclear Physics, 99 (4). 044312. ISSN 0556-2813
Abstract
The Coulomb effect, an essential ingredient in nuclear systems, is quantitatively investigated for certain Skyrmions with charge greater than 1. This is the first time such a calculation has been done. To do this we calculate the Coulomb energy from numerically generated multi-Skyrmions and, simultaneously, introduce an effective alpha-like particle approximation for large Skyrmions with baryon number B, where B is a multiple of 4. The calculated Coulomb energies and the corresponding fitted curve from this approximation match well with the results from the numerical method, as well as the behavior of the Coulomb energy in the semiempirical mass formula. The Skyrme model correctly reproduces the well known results for the Coulomb energy of nuclei. This suggests that the alpha particles can be used as the fundamental degrees of freedom in the Skyrme model, like the proposals in many other models. The Coulomb effect on the binding energy of the Skyrmions increases with baryon number but has a small effect overall. However, the effect could be significantly more pronounced for loosely bound Skyrme models.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 American Physical Society. Reproduced in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Funding Information: | Funder Grant number Leverhulme Trust ECF-2017-639 |
Depositing User: | Symplectic Publications |
Date Deposited: | 29 Apr 2019 09:52 |
Last Modified: | 25 Jun 2023 21:48 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PhysRevC.99.044312 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:145439 |