Quarkonium Phenomenology in Vacuum

Abstract

Broad meson phenomenology in vacuum is discussed in a single model containing scalar, pseudoscalar, vector and axial-vector states both in the non-strange and strange sectors. Emphasis is given to search for quark-antiquark (quarkonium) states in the scalar and axial-vector channels. In particular, the work examines the question whether the scalar quark-antiquark states are found in the energy region below or above 1 GeV in the physical spectrum. Contrarily to the naive expectation, the mentioned states are found in the region above 1 GeV. Additionally, the axial-vector isotriplet state $a_1(1260)$ is described as a quarkonium. These results have consequences for the building of order parameters for the chiral-symmetry breaking of Quantum Chromodynamics (QCD).

PhD thesis at Frankfurt University, Institute for Theoretical Physics (2012). 269 pages, 55 figures

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