Calculation of the exclusive structural functions of the channel of one-pion electroproduction on a proton

This article presents an approach for extracting unpolarized transverse, longitudinal, transverse-transverse, longitudinal-transverse structural functions. The extraction of structure functions is performed from experimental data on the differential cross sections of one-pion production obtained with the CLAS detector (Jefferson Laboratory, USA). The available data cover a wide kinematic range for the invariant mass of the final hadronic system W < 1.7 GeV and the virtuality of the photon $Q^2$ < 5.0 $GeV^2$. The extracted $N\pi$ exclusive structure functions play a significant role in the study of the structure of the excited states of the nucleon. In the course of the work, new methods for calculating structure functions were developed. The results obtained by various methods are in good agreement with each other.