PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Poster
Inclusion of heavy spin effects in the $ud\bar{b}\bar{b}$ $I(J^{P})$=$0(1^{-})$ four-quark channel in the Born-Oppenheimer approximation
J. Hoffmann*, A. Zimermmane-Santos and M. Wagner
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Pre-published on: December 09, 2022
Published on: April 06, 2023
We refine our previous study of a $u d \bar{b} \bar{b}$ tetraquark resonance with quantum numbers $I(J^{P})=0(1^{-})$, which is based on antiheavy-antiheavy lattice QCD potentials, by including heavy quark spin effects via the mass difference of the $B$ and the $B^{*}$ meson.
This leads to a coupled channel Schr\"odinger equation, where the two channels correspond to $BB$ and $B^{*}B^{*}$, respectively.
We search for $\mbox{T}$ matrix poles in the complex energy plane, but do not find any indication for the existence of a tetraquark resonance in this refined coupled channel approach.
We also vary the antiheavy-antiheavy potentials as well as the $b$ quark mass to further understand the dynamics of this four-quark system.
DOI: https://doi.org/10.22323/1.430.0262
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