2024/07/09 by Fatima, A., Athar, M. Sajjad, Singh, S. K.
#FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th)
paper · doi:10.48550/arxiv.2407.06803
The charged current weak production of Δ(1232) from the free proton target induced by the electron/positron in the intermediate energy range corresponding to the beam energy available at JLab and Mainz, has been studied. The results for the differential scattering cross section (dσ)/(dQ2), the angular distribution (dσ)/(dΩΔ), and the total scattering cross section σ(Ee) for both the electron and positron induced processes are presented, for the various energies in the range of 0.5--4~GeV. The cross section σ(Ee) is found to be of the order of 10-39~cm2 for the electron/positron energies in the few GeV range. The availability of electron/positron beams having well defined energy and direction with very high luminosity of the order of 1038-1039~cm-2~sec-1, makes it possible to observe the weak charged current production of Δ(1232) and determine the axial vector form factors CiA (Q2);~(i=3-5). The sensitivity of the differential cross section (dσ)/(dQ2) to the subdominant form factors C3A(Q2) and C4A (Q2) is found to be strong enough, especially in the low Q2 region, which can be used to determine them phenomenologically and to test the various theoretical models proposed to calculate them.