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Spectral reconstruction in NRQCD via the Backus-Gilbert method

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arxiv 2112.02075 v2 pith:3AL7TK4B submitted 2021-12-03 hep-lat

classification hep-lat
keywords methodnrqcdtemperaturebottomoniumfastsumfunctionsnonzerospectral
verification ladder T0 review T1 audit T2 compute T3 formal
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We present progress results from the FASTSUM collaboration's programme to determine the spectrum of the bottomonium system as a function of temperature using a variety of approaches. In this contribution, the Backus Gilbert method is used to reconstruct spectral functions from NRQCD meson correlator data from FASTSUM's anisotropic ensembles at nonzero temperature. We focus in particular on the resolving power of the method, providing a demonstration of how the underlying resolution functions can be probed by exploiting the Laplacian nature of the NRQCD kernel. We conclude with estimates of the bottomonium ground state mass and widths at nonzero temperature.

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  1. Finite temperature hadronic spectral properties

    hep-lat 2025-05 conditional novelty 5.0 of 10

    Doubly charmed baryons stay stable and the bottomonium ground state loses 30 to 40 MeV as quark-gluon plasma temperature rises, according to new lattice QCD ensembles.

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