Novel Bottomonium Results

TL;DR

This paper applies the Backus-Gilbert method to reconstruct bottomonium spectra at non-zero temperature, introducing improvements via the Laplace shifting theorem and analyzing their limitations.

Contribution

It extends previous spectral reconstruction techniques with the Laplace shifting theorem and explores their connection to statistical scaling in bottomonium studies.

Findings

Successful reconstruction of bottomonium spectra at finite temperature.

Demonstrated limitations of the Laplace shifting theorem improvements.

Established a link between the resolution enhancement and Parisi-Lepage scaling.

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.