Free-form Smeared Bottomonium Correlation Functions

TL;DR

This paper introduces a free-form smearing technique for bottomonium correlation functions, enabling more precise spectrum extraction, including the first lattice D-wave excited state, with reduced statistical errors compared to conventional methods.

Contribution

The paper presents a novel free-form smearing method for bottomonium studies, improving accuracy and enabling the first lattice calculation of the D-wave first-excited state.

Findings

Free-form smearing reduces statistical errors in correlation functions.

Successful extraction of the bottomonium spectrum, including the D-wave first-excited state.

Comparison shows advantages over conventional smearing techniques.

Abstract

Gauge-invariant sources with a hydrogen wave function shape are constructed for bottomonium two-point correlation functions using the free-form smearing technique. The bottomonium spectrum, including a first lattice result for the D-wave first-excited state, is extracted from free-form smeared correlation functions. Results are compared with conventional smearing techniques and free-form smearing is found to have the advantage of reduced statistical errors.