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Novel Bottomonium Results

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arxiv 2212.12016 v1 pith:ZHGNYG7H submitted 2022-12-22 hep-lat

classification hep-lat
keywords resultsbackus-gilbertbottomoniumimprovementanisotropiccoefficientconcludeconnection
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abstract

We present the latest results from the use of the Backus-Gilbert method for reconstructing the spectra of NRQCD bottomonium mesons using anisotropic FASTSUM ensembles at non-zero temperature. We focus in particular on results from the $\eta_b$, $\Upsilon$, $\chi_{b1}$ and $h_b$ generated from Tikhonov-regularized Backus-Gilbert coefficient sets. We extend previous work on the Laplace shifting theorem as a means of resolution improvement and present new results from its use. We conclude with a discussion of the limitations of the improvement routine and elucidate a connection with Parisi-Lepage statistical scaling.

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Cited by 1 Pith paper

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  1. The NRQCD $\Upsilon$ spectrum at non-zero temperature using Backus-Gilbert regularisations

    hep-lat 2025-02 conditional novelty 4.0 of 10

    On FASTSUM Generation 2L ensembles, Backus-Gilbert and Tikhonov reconstructions agree on the Upsilon ground-state mass, but the decay width is dominated by reconstruction smearing and high-temperature broadening is un...

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