Quantized Skyrmions from SU(4) weight diagrams

Chris  Halcrow; Nicholas Manton; Jonathan Rawlinson

doi:10.1103/physrevc.97.034307

Quantized Skyrmions from SU(4) weight diagrams

Chris Halcrow, Nicholas Manton, Jonathan Rawlinson

Applied Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Starting from solutions of the lightly bound Skyrme model, we construct many new Skyrmion solutions of the standard Skyrme model with tetrahedral or octahedral symmetry. These solutions are closely related to weight diagrams of the group SU(4), which enables us to systematically derive some geometric and energetic properties of the Skyrmions, up to baryon number 85. We discuss the rigid-body quantization of these Skyrmions and compare the results with properties of a selection of observed nuclei.

Original language	English
Pages (from-to)	034307
Number of pages	14
Journal	Physical Review C
Volume	97
Issue number	3
DOIs	https://doi.org/10.1103/physrevc.97.034307
Publication status	Published - 6 Mar 2018

Keywords

Collective levels
Energy levels
Nuclear structure
skyrmions

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10.1103/physrevc.97.034307

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abstract = "Starting from solutions of the lightly bound Skyrme model, we construct many new Skyrmion solutions of the standard Skyrme model with tetrahedral or octahedral symmetry. These solutions are closely related to weight diagrams of the group SU(4), which enables us to systematically derive some geometric and energetic properties of the Skyrmions, up to baryon number 85. We discuss the rigid-body quantization of these Skyrmions and compare the results with properties of a selection of observed nuclei.",

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AU - Manton, Nicholas

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N2 - Starting from solutions of the lightly bound Skyrme model, we construct many new Skyrmion solutions of the standard Skyrme model with tetrahedral or octahedral symmetry. These solutions are closely related to weight diagrams of the group SU(4), which enables us to systematically derive some geometric and energetic properties of the Skyrmions, up to baryon number 85. We discuss the rigid-body quantization of these Skyrmions and compare the results with properties of a selection of observed nuclei.

AB - Starting from solutions of the lightly bound Skyrme model, we construct many new Skyrmion solutions of the standard Skyrme model with tetrahedral or octahedral symmetry. These solutions are closely related to weight diagrams of the group SU(4), which enables us to systematically derive some geometric and energetic properties of the Skyrmions, up to baryon number 85. We discuss the rigid-body quantization of these Skyrmions and compare the results with properties of a selection of observed nuclei.

KW - Collective levels

KW - Energy levels

KW - Nuclear structure

KW - skyrmions

UR - http://dx.doi.org/10.1103/physrevc.97.034307

U2 - 10.1103/physrevc.97.034307

DO - 10.1103/physrevc.97.034307

M3 - Article

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VL - 97

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JO - Physical Review C

JF - Physical Review C

IS - 3

ER -

Quantized Skyrmions from SU(4) weight diagrams

Abstract

Keywords

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