Alfredo A. Correa edited The_recent_measurements_by_Cantero__.tex  over 8 years ago

Commit id: c7e45a66083c7ff87a09d01ff6d2125c96a6a644

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Recently Schleife \emph{et al.} \cite{Schleife_2015} have calculated the electronic stopping $(S_\text{e}$ by $\mathrm{H}$ and $\mathrm{He}$ projectile including non-adiabatic interactions and found that off-channeling trajectories along with the inclusion of semicore electrons enhance $S_\text{e}$ resulting better agreement with the experiment.   In this case we concentrate in a metal with a richer electronic band structure around the Fermi energy.  We report here an application of In this paper we will address  the TDDFT electron dynamics \cite{Correa_2012,Schleife_2012,Schleife_2014} for proton problem of theoretical calculation of electronic  stopping of protons  in crystalline  $\mathrm{Cu}$ crystal.   Our results are compared with those in a wide range of velocities comprising the whole range  of\textsc{Srim} as well as  available experimental values. points.   We perform our calculations by directly simulating the process of a proton traversing a crystal of $\mathrm{Cu}$ atoms, producing individual and collective electronic excitations within the TDDFT framework \cite{Correa_2012,Schleife_2012,Schleife_2014}.  %  %  %In recent years, the development of time-dependent methods have enhanced the diverse study of many body problems involving the slowing down of charged projectiles both in solids and gases. The time dependent density functional theory (TDDFT) on the other hand has enjoyed much consideration owing to its electron dynamics both self-consistency and non-perturbative way.  %  %Using a quantal method based on TDDFT, Quijada {\emph et. al.} \cite{Quijada_2007} have studied the energy loss of protons and anti-protons moving inside metalic Al and obtained good results for the projectile-target energy transfer over a wider energy range.