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1975•Physical Review LettersRequires access

Feshbach and Shape Resonances in the e -H P1 System

C. D. Lin

Open publisher page 115 citations

Abstract

Using a Born-Oppenheimer-type expansion for the two-electron wave functions in hyperspherical coordinates, three potential curves are obtained for ${\mathrm{H}}^{\ensuremath{-}}$ $^{1}P$ states converging to the $n=2$ state of the hydrogen atom. It is shown that the Feshbach resonances are associated with one curve and the shape resonance with another. The connections with the "+" and "-" classification of helium doubly excited states and with the asymptotic dipole-field representation of ${\mathrm{H}}^{\ensuremath{-}}$ are discussed.

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What this paper is about

Using a Born-Oppenheimer-type expansion for the two-electron wave functions in hyperspherical coordinates, three potential curves are obtained for ${\mathrm{H}}^{\ensuremath{-}}$ $^{1}P$ states converging to the $n=2$ state of the hydrogen atom. It is shown that the Feshbach resonances are associated with one curve and the shape resonance with another. The connections with the "+" and "-" classification of helium doubly excited states and with the asymptotic dipole-field representation of ${\mathrm{H}}^{\ensuremath{-}}$ are discussed.

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Available abstract

Using a Born-Oppenheimer-type expansion for the two-electron wave functions in hyperspherical coordinates, three potential curves are obtained for ${\mathrm{H}}^{\ensuremath{-}}$ $^{1}P$ states converging to the $n=2$ state of the hydrogen atom. It is shown that the Feshbach resonances are associated with one curve and the shape resonance with another. The connections with the "+" and "-" classification of helium doubly excited states and with the asymptotic dipole-field representation of ${\mathrm{H}}^{\ensuremath{-}}$ are discussed.

Key concepts: Excited state, Physics, Dipole, Resonance (particle physics), Wave function, Atomic physics, Quantum mechanics

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