Reconstructed (charm) baryon methods at finite temperature on anisotropic lattices

TL;DR

This paper explores methods for reconstructing baryon correlators at finite temperature on anisotropic lattices, demonstrating their effectiveness and consistency with double ratio techniques using both real and synthetic data.

Contribution

It extends reconstructed-correlator methods to baryons, compares different implementation strategies, and validates their equivalence and consistency with double ratio approaches.

Findings

Different methods yield equivalent results for heavy baryons.

Implementation choices have minimal impact on lighter nucleons.

Reconstructed-correlator ratios closely match double ratios in thermal ensembles.

Abstract

Reconstructed-correlator methods have been used to investigate thermal effects in mesonic correlation functions in a fit-independent manner. This technique has recently been extended to the baryonic sector. In this work different ways of implementing this approach for baryon correlators are examined. Using both real and synthetic data it is found that for heavy baryons, such as the $\Xi_{cc}(ccu)$ baryon, different choices are equivalent and that for the lighter nucleon the effect of different implementations is minimal. Further comparison to the so-called "double ratio" using the FASTSUM Generation 2L thermal ensembles shows that reconstructed-correlator ratios and double ratios contain nearly identical quantitative information.