Roper resonances and quasi-normal modes of Skyrmions

A bstract 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 additio...

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Bibliographic Details
Published in:The journal of high energy physics 2018-03, Vol.2018 (3), p.1-33, Article 23
Main Authors: Adam, C., Haberichter, M., Romanczukiewicz, T., Wereszczynski, A.
Format: Article
Language:English
Subjects:
Chiral Lagrangians
Classical and Quantum Gravitation
Effective Field Theories
Elementary Particles
High energy physics
Hypothetical particles
Inverse problems
Nucleons
Particle theory
Physical properties
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Solitons Monopoles and Instantons
String Theory
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2018)023