Ten-channel eikonal treatment of electron-metastable-helium collisions: Differential and integral cross sections for $2 {}^{1, 3}P$ and $n = 3$ excitations from He ( $2 {}^{1, 3}S$ ) and the ( $λ, χ, Π$ ) parameters

We present a ten-channel eikonal treatment of the

2 {}^{1, 3}P

3 {}^{1, 3}S

3 {}^{1, 3}P

, and

3 {}^{1, 3}D

excitations of atomic helium, initially in the

2 {}^{1, 3}S

metastable states, by incident electrons with energy

E

(eV) in the range

5 \leq E \leq 100

. Integral and differential inelastic cross sections are obtained. Also, the angular-correlation parameters

λ

and

χ

, which respectively provide the relative population and relative phase of the collisionally excited

P

magnetic substates, and the circular polarization fraction

Π

of radiation emitted from these

P

states, are determined as functions of scattering angle

θ

and

E

. No measurements exist to date. The principle of detailed balance is explicitly demonstrated for the

2 {}^{1}S - 1 {}^{1}S

superelastic collision.

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Ten-channel eikonal treatment of electron-metastable-helium collisions: Differential and integral cross sections for2P1,3andn=3excitations from He (2S1,3) and the (λ, χ, Π) parameters