# Roper resonances and quasi-normal modes of Skyrmions

@article{Adam2017RoperRA, title={Roper resonances and quasi-normal modes of Skyrmions}, author={Christoph Adam and Mareike Haberichter and T. Romanczukiewicz and A. Wereszczynski}, journal={Journal of High Energy Physics}, year={2017}, volume={2018}, pages={1-33} }

A bstractRadial vibrations of charge one hedgehog Skyrmions in the full Skyrme model are analysed. We investigate how the properties of the lowest resonance modes (quasi normal modes) — their frequencies and widths — depend on the form of the potential (value of the pion mass as well as the addition of further potentials) and on the inclusion of the sextic term. Then we consider the inverse problem, where certain values for the frequencies and widths are imposed, and the field theoretic Skyrme…

## 10 Citations

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Abstract
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## References

SHOWING 1-10 OF 87 REFERENCES

### Radial vibrations of BPS skyrmions

- Physics
- 2016

We study radial vibrations of spherically symmetric Skyrmions in the Bogomol’nyi-Prasad-Sommerfield Skyrme model. Concretely, we numerically solve the linearized field equations for small…

### Deuteron as a toroidal Skyrmion.

- PhysicsPhysical review. D, Particles and fields
- 1988

The results are consistent with the interpretation of the deuteron as a quantum state of a toroidal Skyrmion.

### Bogomol'nyi-Prasad-Sommerfield Skyrme model and nuclear binding energies.

- PhysicsPhysical review letters
- 2013

The classical Bogomol'nyi-Prasad-Sommerfield soliton solutions of the BPS Skyrme model are used together with corrections from the collective coordinate quantization of spin and isospin to calculate nuclear binding energies, finding that the resulting binding energies are already in excellent agreement with their physical values for heavier nuclei.

### Loosening up the Skyrme model

- Physics
- 2016

We consider the Skyrme model with the addition of extra scalar potentials that decrease the classical binding energies of the Skyrmions to about the 3% level -- without altering the pion mass -- if…

### States of carbon-12 in the Skyrme model.

- PhysicsPhysical review letters
- 2014

The Skyrme model has two Skyrmion solutions of baryon number 12, with D_{3h} and D_{4h} symmetries, with a good match with the ground-state band of carbon-12, and with the recently established rotational band of the Hoyle state.

### Light Nuclei of Even Mass Number in the Skyrme Model

- Physics
- 2009

We consider the semiclassical rigid-body quantization of Skyrmion solutions of mass numbers $B=4,6,8,10$, and 12. We determine the allowed quantum states for each Skyrmion and find that they often…