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arxiv: 1108.2564 · v1 · submitted 2011-08-12 · ⚛️ nucl-th

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Nuclear medium effects in ν/bar{ν}-A DIS

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classification ⚛️ nucl-th
keywords fracfunctionsnuclearbeencalculationscrosseffectsmedium
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Nuclear medium effects in the weak structure functions $F_2(x,Q^2)$ and $F_3(x,Q^2)$ have been studied for deep inelastic neutrino/antineutrino reactions in iron nucleus by taking into account Fermi motion, binding, pion and rho meson cloud contributions, target mass correction, shadowing and anti-shadowing corrections. The calculations have been performed in a local density approximation using relativistic nuclear spectral functions which include nucleon correlations. Using these structure functions we have obtained the ratio $R_{F2,F3}^A(x,Q^2)= \frac{2F_{2,3}^A(x,Q^2)}{AF_{2,3}^D(x,Q^2)}$, the differential scattering cross section $\frac{1}{E}\frac{d^2\sigma}{dxdy}$ and the total scattering cross section $\sigma$. The results of our numerical calculations in $^{56}Fe$ are compared with the experimental results of NuTeV and CDHSW collaborations.

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