Erlangen 2026 – scientific programme
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HK: Fachverband Physik der Hadronen und Kerne
HK 12: Hadron Structure and Spectroscopy IV
HK 12.4: Talk
Tuesday, March 17, 2026, 17:30–17:45, PHIL A 401
Light Hybrid Mesons with Functional Methods — •Franziska Münster1, Christian Fischer2, and Markus Huber3 — 1Institute for theoretical physics, JLU, Gießen, Germany — 2Institute for theoretical physics, JLU, Gießen, Germany — 3Institute for theoretical physics, JLU, Gießen, Germany
In my talk, I discuss the theoretical description of light hybrid mesons*hadrons composed of a quark, an antiquark, and a gluon. Their explicit gluonic degree of freedom makes them particularly interesting for studying the nonperturbative dynamics of QCD. Unlike ordinary mesons, hybrid mesons can carry exotic quantum numbers that simple quark*antiquark configurations cannot access in the nonrelativistic quark model. Their study is further motivated by some possible experimental candidates reported in recent years. The most prominent candidate for a light hybrid meson is the isovector state π1(1600) 1−+. To investigate such systems, we employ a functional approach based on Dyson*Schwinger and Bethe*Salpeter equations. Hybrid mesons are treated as genuine three-body bound states, which requires solving a three-body Bethe*Salpeter equation that explicitly includes quark, antiquark, and gluon degrees of freedom. I outline the structure of this framework and discuss its implications for the spectrum and internal dynamics of hybrid mesons.
Keywords: functional methods; hybrid mesons; Bethe-Salpeter equation; Dyson-Schwinger equation; Fadeev equation