deletions | additions       diff --git a/Among_the_measurable_quantities_associated__.tex b/Among_the_measurable_quantities_associated__.tex  index e75ca5f..6632439 100644  --- a/Among_the_measurable_quantities_associated__.tex  +++ b/Among_the_measurable_quantities_associated__.tex 
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Employing the First Born Approximation, Bethe \cite{Bethe_1930_EN} has introduced the first calculations of inelastic and ionization cross section. The Bloch correction \cite{Bloch_1933} provides a convenient link between the Bohr and the Bethe scheme.   Fermi and Teller \cite{Fermi_1947} using electron gas models had reported electronic stopping for various targets.   The Bethe formula for stopping has been studied in details by Lindhard and Winther \cite{Lindhard_Winther} on the basis of the generalized linear-response theory.   All %All  these models require ad-hoc assumptions or are valid at different limits for studying stopping processes. In the low energy region the energy loss in metal is due to the excitation of a portion of electrons around the Fermi level to empty states in the conducting band  at higher energies, a minimum momentum transfer due to the limited response time of target electrons to the projectile ions.  In this paper we concentrate in the near and below the maximum of stopping down to the low velocity regime for $\mathrm{H}$ in $\mathrm{Cu}$.