Speaker
Description
We investigate nuclear weak-response function of $^{208}$Pb by the charged current (CC) scattering of muon neutrinos ($\nu_{\mu}$) using an incident neutrino energy of E$_{\nu_{\mu}}$ = 236 MeV, as produced in kaon decay-at-rest (KDAR). In this work, we focus on the inelastic scattering occurring below the QE region. To account for these contributions, we calculate the inelastic scattering cross section using the quasiparticle random phase approximation (QRPA). In the differential cross section, we separate each multipole contribution and deduce the response functions to the KDAR $\nu_{\mu}$ probe. In particular, we compare the Gamow-Teller strength distribution in the 1$^{+}$ transition to the available data with the forbidden 1$^{+}$ transitions. These findings may provide valuable insight of the nuclear weak-structure comprising vector and axial currents as well as their longitudinal and transverse parts of $^{208}$Pb.