Role of unphysical solution in nucleon QCD sum rules

TL;DR

This paper investigates how unphysical solutions in nucleon QCD sum rules impose constraints on condensate values, with findings showing that including radiative corrections and factorization assumptions significantly affect these constraints and the nucleon mass dependence.

Contribution

It identifies the conditions leading to unphysical solutions in nucleon QCD sum rules and analyzes how radiative corrections and factorization influence these constraints.

Findings

Unphysical solutions occur at certain condensate values.

Radiative corrections weaken the constraints on condensates.

Factorization assumptions reduce the dependence of nucleon mass on quark condensates.

Abstract

We show that at certain values of QCD condensates the nucleon QCD sum rules with "pole+continuum" model for the hadron spectrum obtain an unphysical solution. This provides constrains for the values of condensates to be consistent with existence of a physical solutions. The constrains become much weaker if the radiative corrections are included perturbatively. We demonstrate that the most important dependence of nucleon mass on the quark scalar condensate becomes much weaker under factorization assumption for the four-quark and six-quark condensates.