Scattering of 7-GeV Muons in Nuclei

Abstract

We have measured the inclusive scattering of muons of average energy 7.2 GeV from a variety of nuclear targets in the four-momentum-transfer range $0.6<\mathrm{}{Q}^2<4.0\mathrm{}$ ${(\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^2$. We find that the data can be well represented as an incoherent sum of muon-proton and muon-neutron scattering except in the region $x(\equiv \frac{1}{\omega }=\frac{Q^2}{2m\nu })<\mathrm{}0.1\mathrm{}$. A fit in this region by the form $A_{\mathrm{eff}}=\frac{{\sigma }_A}{\left[\right(\frac{Z}{A}){\sigma }_p+(\frac{N}{A}\left){\sigma }_n\right]}=A^{\rho }$ yields a value of the exponent $\rho$ of 0.963 ±0.006.