1. Modern meson spectroscopy: the fundamental role of unitarity
- Author
-
George Rupp and E. van Beveren
- Subjects
Physics ,Nuclear and High Energy Physics ,Meson ,Unitarity ,010308 nuclear & particles physics ,High Energy Physics::Lattice ,Quark model ,Nuclear Theory ,High Energy Physics::Phenomenology ,High Energy Physics - Lattice (hep-lat) ,FOS: Physical sciences ,Particle Data Group ,01 natural sciences ,Unitary state ,High Energy Physics - Experiment ,High Energy Physics - Phenomenology ,Theoretical physics ,High Energy Physics - Experiment (hep-ex) ,High Energy Physics - Lattice ,High Energy Physics - Phenomenology (hep-ph) ,0103 physical sciences ,Bound state ,High Energy Physics::Experiment ,010306 general physics ,Spectroscopy - Abstract
The importance of $S$-matrix unitarity in realistic meson spectroscopy is reviewed, both its historical development and more recent applications. First the effects of imposing $S$-matrix unitarity on meson resonances is demonstrated in both the elastic and the inelastic case. Then, the static quark model is revisited and its theoretical as well as phenomenological shortcomings are highlighted. A detailed account is presented of the mesons in the tables of the Particle Data Group that cannot be explained at all or only poorly in models describing mesons as pure quark-antiquark bound states. Next the earliest unitarised and coupled-channel models are revisited, followed by several examples of puzzling meson resonances and their understanding in a modern unitarised framework. Also, recent and fully unquenched lattice descriptions of such mesons are summarised. Finally, attention is paid to production processes, which require an unconventional yet related unitary approach. Proposals for further improvement are discussed., Comment: Invited review paper, 51 pages, 16 figures, 4 tables; to be published in "Progress in Particle and Nuclear Physics" 2021. v2: several typos corrected, in particular in Eqs. (15), (17), (36), and (37) in Section 2; some accompanying remarks rephrased for clarity; Eq. (41) improved. NOTE: v3 is identical to v2; published version (in print and online) largely corresponds to v1; v3 (=v2) is correct
- Published
- 2020
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