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In this work, we investigate how multinucleon enhancement and RPA (RandomPhase Approximation) suppression can affect the measurement of three unknownneutrino oscillation parameters - the CP-violating phase $\delta_{CP}$, theoctant of the atmospheric mixing angle $\theta_{23}$, and the determination ofthe mass hierarchy, in the appearance channel of the NO$\nu$A experiment. Weinclude the presence of the detector effect as well in the analysis, which iscrucial for capturing realistic experimental scenarios. It is found that theanalysis using our comprehensive model (QE(+RPA)+2p2h) exhibits significantlyenhanced sensitivity compared to the pure QE interaction process, in all thecases. Also, the higher octant of $\theta_{23}$, the lower half plane of$\delta_{CP}$, and the normal mass hierarchy (HO-LHP-NH) exhibit improvedsensitivity, enabling a more precise determination of the correspondingparameters. Furthermore, it is also noted that improving the performance of thedetector also improves the results. Thus, including multinucleon effects andimproving detector efficiency have the potential to enhance the capabilities ofthe NO$\nu$A (and other long baseline) experiment in conducting preciseparameter studies.

Sensitivity of octant of $\theta_{23}$, CP violation and mass hierarchy in NO$\nu$A with multinucleon and detector effects