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Harland, D. orcid.org/0000-0002-4110-9673, Leask, P. and Speight, M. (2023) Skyrme crystals with massive pions. Journal of Mathematical Physics, 64 (10). 103503. ISSN 0022-2488
Abstract
The crystalline structure of nuclear matter is investigated in the standard Skyrme model with massive pions. A semi-analytic method is developed to determine local minima of the static energy functional with respect to variations of both the field and the period lattice of the crystal. Four distinct Skyrme crystals are found. Two of these were already known–the cubic lattice of half-skyrmions and the α-particle crystal–but two are new. These new solutions have lower energy per baryon number and less symmetry, being periodic with respect to trigonal but not cubic period lattices. Minimal energy crystals are also constructed under the constraint of constant baryon density, and it is shown that the two new non-cubic crystals tend to chain and multi-wall solutions at low densities.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2023 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
Keywords: | Crystal structure; Differentiable manifold; Numerical methods; Energy minimization; Riemannian geometry; Nuclear matter; Isospin; Mesons; Baryons; Skyrmions |
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) |
Depositing User: | Symplectic Publications |
Date Deposited: | 27 Sep 2023 08:52 |
Last Modified: | 26 Feb 2025 13:18 |
Status: | Published |
Publisher: | American Institute of Physics |
Identification Number: | 10.1063/5.0159674 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:203711 |
Available Versions of this Item
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Skyrme crystals with massive pions. (deposited 26 Feb 2025 13:57)
- Skyrme crystals with massive pions. (deposited 27 Sep 2023 08:52) [Currently Displayed]