Time delay of slow electrons-endohedral elastic scattering

TL;DR

This paper models electron scattering by fullerene molecules using a Dirac bubble potential, revealing that slow electrons experience delays up to 104 attoseconds due to temporary trapping in quasi-bound states.

Contribution

It introduces a Dirac bubble potential model to calculate time delays in slow-electron elastic scattering by fullerenes, highlighting resonance effects and energy dependence.

Findings

Time delays up to 104 attoseconds observed

Resonances caused by quasi-bound states

Dependence of delay on collision energy

Abstract

We discuss the temporal picture of electron collisions with fullerene. Within the framework of a Dirac bubble potential model for the fullerene shell, we calculate the time delay in slow-electron elastic scattering by it. It appeared that the time of transmission of an electron wave packet through the Dirac bubble potential sphere that simulates a real potential of the C60 reaches up to 104 attoseconds. Resonances in the time delays are due to the temporary trapping of electron into quasi-bound states before it leaves the interaction region. As concrete targets we choose almost ideally spherical endohedrals C20, C60, C72, and C80. We present dependences of time-delay upon collision energy.