Roper resonances and quasi-normal modes of Skyrmions

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2018_ jhighenergphys_adam_roper.pdf (5.04 MB)
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URI: http://hdl.handle.net/10347/22727
ISSN: 1029-8479
DOI: 10.1007/JHEP03(2018)023

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2018

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Springer
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Abstract

Radial 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 model potential giving rise to them is reconstructed. This latter method allows to reproduce the physical Roper resonances, as well as further physical properties of nucleons, with high precision.

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Chiral Lagrangians| Effective Field Theories| Solitons Monopoles and Instantons

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Adam, C., Haberichter, M., Romanczukiewicz, T. et al. Roper resonances and quasi-normal modes of Skyrmions. J. High Energ. Phys. 2018, 23 (2018). https://doi.org/10.1007/JHEP03(2018)023

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C.A. and A.W. acknowledge financial support from the Ministry of Education, Culture, and Sports, Spain (Grant No. FPA 2014-58-293-C2-1-P), the Xunta de Galicia (Grant No. INCITE09.296.035PR and Conselleria de Educacion), the Spanish Consolider-Ingenio 2010 Programme CPAN (CSD2007-00042), Maria de Maetzu Unit of Excellence MDM-2016-0692, and FEDER. Some of the work of M.H. was undertaken at the Department of Mathematics and Statistics, University of Massachusetts, financially supported by FP7, Marie Curie Actions, People, International Research Staff Exchange Scheme (IRSES-606096)

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© The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited

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