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20 April 2024
 
  » arxiv » 2109.08560

 Article overview


Tetraquark systems $ar bbar du$ in static limit and lattice QCD
Mitja Sadl ; Sasa Prelovsek ;
Date 17 Sep 2021
AbstractTwo hadrons with exotic quark content $Z_b^+simeq ar bbar du$ were discovered by Belle. We present a lattice study of the $ar bbar du$ systems with various quantum numbers using static bottom quarks. Only one set of quantum numbers that couples to $Z_b$ and $Upsilonpi$ was explored on the lattice before: these studies found an attractive potential between $B$ and $ar B^*$ resulting in a bound state below the threshold. The present study considers the other three sets of quantum numbers. Eigen-energies of the $ar bb ar du$ system are extracted as a function of separation between $b$ and $ar b$. The resulting eigen-energies do not show any sizable deviation from non-interacting energies of the systems $ar bb+ar du$ and $ar bu+ar db$, so no significant attraction or repulsion is found. A slight exception is a small attraction between $B$ and $ar B^*$ at small distance for the quantum number that couples to $Z_b$ and $eta_b ho$.
Source arXiv, 2109.08560
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