Poincare covariant pseudoscalar and scalar meson spectroscopy in Wigner-Weyl phase

Abstract

The coupled quark Dyson-Schwinger and meson Bethe-Salpeter equations in rainbow-ladder truncation for spin-0 mesons are solved in Wigner-Weyl phase in the chiral limit and beyond, retaining only the ultraviolet finite terms of the phenomenologically most successful Maris-Tandy interaction. This allows to reveal and discuss the scalar and pseudoscalar meson masses in a chirally symmetric setting without additional medium effects. Independent of the current-quark mass, the found solutions are spacelike, i.\,e.\ have negative squared masses. The current-quark mass dependence of meson masses, leptonic decay constants and chiral condensate are illustrated in Wigner-Weyl phase.

11 pages, 21 figures; revised, accepted for publication in Phys.Rev.D; complemented by inflection point, analytic structure and chiral condensate investigation

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• Aspects of open-flavour mesons in a comprehensive DSBSE study
• Light-quarkonium spectra and orbital-angular-momentum decomposition in a Bethe-Salpeter-equation approach
• Charming quasi-exotic open-flavor mesons
• Quasi-exotic open-flavor mesons
• Chiral-partner D mesons in a heat bath within QCD sum rules
• S- and D-wave vector charmonia