Dynamical $${O(4)}$$-Symmetry in the Light Meson Spectrum within the Framework of the Regge Approach
Year: 2024
Type: article
Abstract: The light mesons tend to cluster near certain values of mass. As was noticed some time ago, the emergent degeneracy is of the same type as the dynamical $$O(4)$$ -symmetry of the Coulomb potential in the hydrogen atom. The meson mass spectrum can be well approximated by the linear Regge trajectories of the kind $$M^{2}=al+bn_{r}+c$$ , where $$l$$ and $$n_{r}$$ are angular momentum and radial quantum numbers and $$a$$ , $$b$$ , $$c$$ are parameters. Such a spectrum arises naturally within the hadron string models. Using 2024 data from the Particle Data Group, various fits for $$M^{2}(l,n_{r})$$ were performed. Our analysis seems to confirm that $$a\approx b$$ in the light non-strange mesons, i.e., their masses depend on the sum $$l+n_{r}$$ as prescribed by the hydrogen-like $$O(4)$$ -symmetry. Using the semiclassical approximation, we discuss which kind of hadron string models are more favored by the experimental data.
Source: Physics of Atomic Nuclei
Authors: Sergey Afonin, Alisa Tsymbal
Institutions: St Petersburg University, Kurchatov Institute
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4408248032