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Solitonic fullerene structures in light atomic nuclei.
1Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 OWA, United Kingdom.
Physical Review Letters
|May 1, 2001
Summary
The Skyrme model, a theory of nuclear structure, reveals that configurations of seven or more solitons form polyhedral shapes. These shapes, with hexagonal and pentagonal faces, resemble fullerenes found in carbon chemistry.
Area of Science:
- Nuclear Physics
- Theoretical Physics
- Condensed Matter Physics
Background:
- The Skyrme model is a classical field theory used to describe atomic nuclei.
- Topological soliton solutions in the Skyrme model are candidates for nucleons.
- The relationship between soliton number and nucleon number is a key area of study.
Purpose of the Study:
- To numerically compute minimum energy configurations for Skyrme model solitons.
- To investigate the geometric structures formed by multiple solitons.
- To explore potential connections between nuclear structures and other physical systems.
Main Methods:
- Numerical computation of soliton configurations.
- Application of two distinct minimization algorithms.
- Analysis of nucleon density isosurfaces for emergent geometric patterns.
Main Results:
- Minimum energy configurations were computed for up to 22 solitons.
- For seven or more solitons, nucleon density isosurfaces form polyhedra.
- These polyhedral structures are composed of hexagons and pentagons.
Conclusions:
- The study reveals a remarkable geometric similarity between multi-soliton configurations in the Skyrme model and fullerene structures.
- This finding suggests a potential unifying principle in the formation of complex structures across different scales in physics and chemistry.
- The polyhedral shapes formed by solitons offer new insights into nuclear structure and topological field theories.