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Threshold Behavior of Inelastic-Scattering Cross Sections

J. N. Bardsley, R. K. Nesbet

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Abstract

The behavior of scattering cross sections near an excitation threshold is examined for the case of long-range potentials. The theory is confirmed by computations of $e\ensuremath{-}\mathrm{L}\mathrm{i}$ scattering. Recent observations of threshold structure in $e\ensuremath{-}\mathrm{N}\mathrm{a}$ collisions are ascribed to a $^{1}D$ resonance of ${\mathrm{Na}}^{\ensuremath{-}}$. A true cusp should occur only in the $^{1}P$ partial cross section.

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What this paper is about

The behavior of scattering cross sections near an excitation threshold is examined for the case of long-range potentials. The theory is confirmed by computations of $e\ensuremath{-}\mathrm{L}\mathrm{i}$ scattering. Recent observations of threshold structure in $e\ensuremath{-}\mathrm{N}\mathrm{a}$ collisions are ascribed to a $^{1}D$ resonance of ${\mathrm{Na}}^{\ensuremath{-}}$. A true cusp should occur only in the $^{1}P$ partial cross section.

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Available abstract

The behavior of scattering cross sections near an excitation threshold is examined for the case of long-range potentials. The theory is confirmed by computations of $e\ensuremath{-}\mathrm{L}\mathrm{i}$ scattering. Recent observations of threshold structure in $e\ensuremath{-}\mathrm{N}\mathrm{a}$ collisions are ascribed to a $^{1}D$ resonance of ${\mathrm{Na}}^{\ensuremath{-}}$. A true cusp should occur only in the $^{1}P$ partial cross section.

Key concepts: Physics, Scattering, Inelastic scattering, Cross section (physics), Atomic physics, Excitation, Resonance (particle physics), Cusp (singularity)

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