Finite formation time effects in quasi-elastic $(e,e^{\prime })$ scattering on nuclear targets

Abstract

The problem of the final state interaction in quasi-elastic $(e,e^{\prime })$ scattering at large $Q^2$, is investigated by exploiting the idea that the ejected nucleon needs a finite amount of time to assume its asymptotic form. It is shown that when the dependence of the scattering amplitude of the ejected nucleon on its virtuality is taken into account, the final state interaction is decreased. The developed approach is simpler to implement than the one based on the color transparency description of the damping of the final state interaction, and is essentially equivalent to the latter in the case of the single rescattering term. The $(e,e^{\prime })$ process on the deuteron is numerically investigated and it is shown that, at $x=1$, appreciable finite formation time effects at $Q^2$ of the order of 10 (GeV/c)${}^2$ are expected.

23 pages, 3 figures

Cited by in corpus (7)

• Calculations of the Exclusive Processes 2H(e,e'p)n, 3He(e,e'p)2H and 3He(e,e'p)(pn) within a Generalized Glauber Approach
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• Relativistic approaches to structure functions of nuclei
• Hadron Propagation in Medium: the Exclusive Process A(e,e'p)B in Few-Nucleon Systems
• The ${}^3$He$(e,e^{\prime }p{)}^2$H and ${}^4$He$(e,e^{\prime }p{)}^3$H reactions at high momentum transfer
• Rescattering and finite formation time effects in electro-disintegration of the deuteron in the cumulative region
• Lepton Scattering off Few-Nucleon Systems at Medium and High Energies