Gersch-Rodriguez-Smith computation of deep inelastic electron scattering on ${}^4\mathrm{He}$

We compute cross sections for inclusive scattering of high-energy electrons on ${}^4\mathrm{He},$ based on the two lowest orders of the Gersch-Rodriguez-Smith series. The required one- and two-particle density matrices are obtained from nonrelativistic ${}^4\mathrm{He}$ wave functions using realistic models for the nucleon-nucleon and three-nucleon interaction. The computed results for $E=3.6\mathrm{}\mathrm{GeV}$ agree well with the NE3 SLAC-Virginia data.