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Binding Energy of the First Excited State of Tetraquark \(\varvec{{\bar{b}}{\bar{b}}qq}\) with a Lattice QCD Potential

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Abstract

In this paper, we consider four-quark particle composed of two mesons, which per meson made of a heavy antiquark and light quark. The expanded potential of \({\bar{b}}{\bar{b}}qq\) tetraquark is presented to lattice QCD. By using the Born-Oppenheimer approximation, Schrödinger equation by expanded potential is solved. Then, the binding energy \(E_{B}\) of excited state is calculated in the scalar u/d and ss channel at large and small separation x. The results for binding energy will presented in the form of tables for the first excited state i.e. \(l=1\) and base state i.e. \(l=0\). Graphical results are presented for \(E_{B}\) in the first excited state of tetraquark \({\bar{b}}{\bar{b}}qq\) versus x and d. Finally, we compare the obtained results with results of another articles and we have investigated the validity of these results.

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This research was not receive specific funding, thus funding agencies have no role in the design of this study; in analysis, or interpretation of the data in writing the manuscript; or in the decision to publish the results.

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  1. Department of Physics, University of Arak, Arak, Iran

    F. Chezani Sharahi

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  1. F. Chezani Sharahi
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Sharahi, F.C. Binding Energy of the First Excited State of Tetraquark \(\varvec{{\bar{b}}{\bar{b}}qq}\) with a Lattice QCD Potential. Few-Body Syst 64, 12 (2023). https://doi.org/10.1007/s00601-023-01791-3

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