Tetraquark systems $\bar bb\bar du$ in the static limit and lattice QCD
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| Format: | Preprint |
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2021
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| _version_ | 1866909380922834944 |
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| author | Sadl, Mitja Prelovsek, Sasa |
| author_facet | Sadl, Mitja Prelovsek, Sasa |
| contents | Two hadrons with exotic quark content $Z_b^+\simeq \bar bb \bar du$ were discovered by Belle. We present a lattice study of the $\bar bb\bar du$ systems with various quantum numbers using static bottom quarks. Only one set of quantum numbers that couples to $Z_b$ and $Υ\;π$ was explored on the lattice before; these studies found an attractive potential between $B$ and $\bar B^*$ resulting in a bound state below the threshold. The present study considers the other three sets of quantum numbers. Eigenenergies of the $\bar bb \bar du$ system are extracted as a function of separation between $b$ and $\bar b$. The resulting eigenenergies do not show any sizable deviation from noninteracting energies of the systems $\bar bb+\bar du$ and $\bar bu+\bar db$, so no significant attraction or repulsion is found. A slight exception is a small attraction between $B$ and $\bar B^*$ at small distance for the quantum number that couples to $Z_b$ and $η_b\;ρ$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2109_08560 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Tetraquark systems $\bar bb\bar du$ in the static limit and lattice QCD Sadl, Mitja Prelovsek, Sasa High Energy Physics - Lattice High Energy Physics - Phenomenology Two hadrons with exotic quark content $Z_b^+\simeq \bar bb \bar du$ were discovered by Belle. We present a lattice study of the $\bar bb\bar du$ systems with various quantum numbers using static bottom quarks. Only one set of quantum numbers that couples to $Z_b$ and $Υ\;π$ was explored on the lattice before; these studies found an attractive potential between $B$ and $\bar B^*$ resulting in a bound state below the threshold. The present study considers the other three sets of quantum numbers. Eigenenergies of the $\bar bb \bar du$ system are extracted as a function of separation between $b$ and $\bar b$. The resulting eigenenergies do not show any sizable deviation from noninteracting energies of the systems $\bar bb+\bar du$ and $\bar bu+\bar db$, so no significant attraction or repulsion is found. A slight exception is a small attraction between $B$ and $\bar B^*$ at small distance for the quantum number that couples to $Z_b$ and $η_b\;ρ$. |
| title | Tetraquark systems $\bar bb\bar du$ in the static limit and lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2109.08560 |