Köln 2025 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 29: Hadron Structure and Spectroscopy III

HK 29.3: Talk

Wednesday, March 12, 2025, 16:30–16:45, HS 3 Physik

Light and strange meson spectrum from functional methods beyond Rainbow-Ladder — •Stephan Hagel and Christian Fischer — Institut für Theoretische Physik, Justus-Liebig-Universität Gießen, 35392 Gießen, Germany

The study of meson spectra has long been a central topic in theoretical hadron physics, with a variety of approaches and frameworks employed to tackle the problem. One such framework involves the Dyson-Schwinger and Bethe-Salpeter equations, which have been extensively studied within the Rainbow-Ladder truncation. While there has been some progress in going beyond this truncation, it remains a difficult challenge.

In this talk, we present a method for constructing a quark self-energy that satisfies the axialvector Ward-Takahashi identity, starting from any quark-antiquark scattering kernel. By applying this approach to a scattering kernel derived from a 3PI effective action, we compute the spectrum of light and strange mesons with various quantum numbers. In particular, we discuss the kaon spectrum for J=0...5, relevant for the AMBER experiment.

Keywords: Dyson-Schwinger equations; Bethe-Salpeter equations; Functional methods; Kaon spectroscopy; Meson spectroscopy