Search potential of the high energy-large hadron collider for spin-1/2 excited quarks in di-jet final state

Composite models, which suggest a possible substructure of fundamental particles, can be directly proven by the discovery of the excited quark. Higher energy and higher-luminosity particle colliders are needed to discover the composite structure predicted in the proposed models. The High Energy Large Hadron Collider (HE-LHC) has the potential to be a possible discovery machine for composite models. In this collider, with a center-of-mass energy of 27 TeV and integrated luminosity between 750 and 15000 fb\textsuperscript{-1}, we calculated the exclusion, observation, and discovery limits for the mass of spin-1/2 excited quark in the \textit{di-jet} final state, as well as the attainable compositeness scale values. In addition to these calculations, we scanned free parameters from 0.06 to 1 to determine the HE-LHC potential to reveal spin-1/2 excited quark.