Systematic study of operator dependence in nucleus calculation at large quark mass

TL;DR

This study investigates the operator dependence in nucleus calculations at large quark masses, comparing different source operators in quenched and full QCD to assess systematic errors from excited states.

Contribution

It provides a systematic comparison of exponential and wall source operators in nucleus correlation functions at large quark masses, highlighting conditions for consistent energy shift determinations.

Findings

Energy shifts from different sources agree in plateau regions.

Preliminary results show systematic errors can be mitigated with proper plateau identification.

Operator dependence is less significant when correlation functions exhibit clear plateaus.

Abstract

Recently it is claimed that there is a significant systematic error from excited state contributions in the nucleus correlation functions by comparing with calculations using the exponential and wall source operators. However, the wall source result is obtained in much earlier time than the plateau region. In order to investigate the systematic error in the plateau region, we calculate the correlation functions with both the operators in quenched QCD at 0.8 GeV pion mass and in $N_f=2+1$ QCD at 0.7 GeV pion mass in high accuracy. In this report we present preliminary results of those calculations, and show that the energy shift obtained from the two sources agree with each other, if those are determined from a region, where both the nucleon and two-nucleon correlation functions have plateaus.