Gudnason, SB and Halcrow, C (2018) B=5 Skyrmion as a two-cluster system. Physical Review D - Particles, Fields, Gravitation and Cosmology, 97 (12). 125004. ISSN 2470-0010
Abstract
The classical B=5 Skyrmion can be approximated by a two-cluster system in which a B=1 Skyrmion is attached to a core B=4 Skyrmion. We quantize this system, allowing the B=1 to freely orbit the core. The configuration space is 11 dimensional but simplifies significantly after factoring out the overall spin and isospin degrees of freedom. We exactly solve the free quantum problem and then include an interaction potential between the Skyrmions numerically. The resulting energy spectrum is compared to the corresponding nuclei—the helium-5/lithium-5 isodoublet. We find approximate parity doubling not seen in the experimental data. In addition, we fail to obtain the correct ground-state spin. The framework laid out for this two-cluster system can readily be modified for other clusters and in particular for other B=4n+1 nuclei, of which B=5 is the simplest example.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. |
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: | 20 Jun 2018 15:57 |
Last Modified: | 25 Jun 2023 21:24 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PhysRevD.97.125004 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:132302 |