The neutral pion production significantly contributes to the hadronic final state in neutrino interactions. Robust oscillation analyses increasingly depend on Monte Carlo event generators to accurately model these interactions on nuclear targets. With systematic uncertainties expected to play a prominent role in future oscillation measurements, integrating pion production models into these generators is essential to ensure precise and dependable predictions. This work explores the measurement of the struck nucleon’s momentum using the transverse kinematic imbalance method by analyzing the neutral pion production in charged current neutrino interaction with the Carbon nucleus in MINER \(\nu \) A. GiBUU’s prediction for single \(\pi ^0\) production shows a significant agreement with MINER \(\nu \) A data in lower and higher initial nucleon momentum regions.