# The 39th International Symposium on Lattice Field Theory (Lattice 2022)

Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

## Inclusion of heavy quark spin effects in the $I(J^{P})$=$0(1^{-})$ $ud\bar{b}\bar{b}$ four-quark channel in the Born-Oppenheimer approximation

Aug 9, 2022, 7:00 PM
1h
Poster Presentation Hadron Spectroscopy and Interactions

### Speaker

Jakob Hoffmann (Goethe University, Frankfurt)

### Description

We refine our previous study of a $\bar{b}\bar{b}ud$ tetraquark resonance with quantum numbers $I(J^P) = 0(1^-)$ which is based on antistatic-antistatic-light-light lattice QCD potentials by including heavy quark spin effects via the mass difference of the $B$ and $B^\ast$ meson.
This leads to a coupled channel Schroedinger equation where the two channels correspond to $BB$ and $B^\ast B^ \ast$ respectively. We explore the existence of a tetraquark resonance by searching for $\mbox{T}$ matrix poles in the complex energy plane and find that the heavy quark spins have a significant impact. We also provide an outlook on a possible future finite volume scattering analysis of the same system carried out in full lattice QCD.

### Primary author

Jakob Hoffmann (Goethe University, Frankfurt)

### Co-authors

Prof. Marc Wagner (Goethe University, Frankfurt) Martin Pflaumer (Goethe University, Frankfurt) André Zimermmane (DESY, Hamburg )

### Presentation materials

There are no materials yet.