7–13 May 2017
Sintra, Portugal
Europe/Lisbon timezone

Heavy and heavy-light mesons and the Lorentz structure of the quark-antiquark kernel

Speaker

Prof. Alfred Stadler (University of Évora, and CFTP, University of Lisbon)

Description

We use the Covariant Spectator Theory (CST) to calculate the mass spectrum and relativistic vertex functions of mesons as quark-antiquark bound states in which at least one of the quarks is either a charm or bottom quark. The quark-antiquark bound-state equation in CST is, similar to the Bethe-Salpeter equation, an integral equation in which the kernel consists of two-particle irreducible Feynman diagrams. However, in the loop integration over intermediate four-momenta, only pole terms originated by the quark propagators are kept, which represent the leading contributions. This procedure leads to equations that possess the correct one-body limit, which is necessary for a realistic description of heavy-light systems. Our interaction kernel consists of a relativistic generalization of a linear confining potential, whose Lorentz structure is taken as an adjustable mixture of scalar, pseudoscalar, and vector form, and a one-gluon exchange interaction. I will present our recent results for fits to the observed meson spectrum and discuss the conclusions we can draw about the Lorentz structure of the quark-antiquark interaction.

Authors

Prof. Alfred Stadler (University of Évora, and CFTP, University of Lisbon) Sofia Leitão (CFTP, IST Lisbon) Prof. M. T. Peña (CFTP, IST Lisbon) Dr Elmar P. Biernat (Centro de Física Teórica de Partículas (CFTP), Instituto Superior Técnico (IST), Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal)

Presentation materials