Lepton scattering from 40Ar and 48Ti in the quasielastic peak region

Abstract

Neutron and proton spectral functions of 40Ar, 40Ca, and 48Ti isotopes are computed using the ab initio self-consistent Green's function approach. The resulting radii and charge distributions are in good agreement with available experimental data. The spectral functions of Ar and Ti are then utilized to calculate inclusive (e,e') cross sections within a factorization scheme and are found to correctly reproduce the recent Jefferson Lab measurements. Based on these successful agreements, the weak charged and neutral current double-differential cross sections for neutrino-40Ar scattering are predicted in the quasielastic region. Results obtained by replacing the (experimentally inaccessible) neutron spectral distribution of 40Ar with the (experimentally accessible) proton distribution of 48Ti are compared and the accuracy of this approximation is assessed.

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