Asymmetry sum rule for molecular predissociation

F. T. Hawes; L. W. Torop; B. R. Lewis; S. T. Gibson

doi:10.1103/PhysRevA.63.012513

Asymmetry sum rule for molecular predissociation

F. T. Hawes^*, L. W. Torop, B. R. Lewis, S. T. Gibson

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In the case of weak diatomic molecular predissociation by noninteracting, optically inactive continuum states, it is demonstrated that the predissociation line shape is more accurately represented by a Beutler-Fano profile than by a Lorentzian. The weak asymmetry that is found to occur is due principally to interactions with neighboring vibrational resonances. For this type of predissociation in the case of multiple continua, a sum rule for the corresponding line-shape asymmetry is derived. This sum rule is verified numerically using single-channel and multichannel coupled Schrödinger-equation calculations for the Schumann-Runge band system of O₂. Similar results are presented for the case of optically active continua.

Original language	English
Article number	012513
Pages (from-to)	1-12
Number of pages	12
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	63
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevA.63.012513
Publication status	Published - 2001

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title = "Asymmetry sum rule for molecular predissociation",

abstract = "In the case of weak diatomic molecular predissociation by noninteracting, optically inactive continuum states, it is demonstrated that the predissociation line shape is more accurately represented by a Beutler-Fano profile than by a Lorentzian. The weak asymmetry that is found to occur is due principally to interactions with neighboring vibrational resonances. For this type of predissociation in the case of multiple continua, a sum rule for the corresponding line-shape asymmetry is derived. This sum rule is verified numerically using single-channel and multichannel coupled Schr{\"o}dinger-equation calculations for the Schumann-Runge band system of O2. Similar results are presented for the case of optically active continua.",

author = "Hawes, {F. T.} and Torop, {L. W.} and Lewis, {B. R.} and Gibson, {S. T.}",

year = "2001",

doi = "10.1103/PhysRevA.63.012513",

language = "English",

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journal = "Physical Review A - Atomic, Molecular, and Optical Physics",

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T1 - Asymmetry sum rule for molecular predissociation

AU - Hawes, F. T.

AU - Torop, L. W.

AU - Lewis, B. R.

AU - Gibson, S. T.

PY - 2001

Y1 - 2001

N2 - In the case of weak diatomic molecular predissociation by noninteracting, optically inactive continuum states, it is demonstrated that the predissociation line shape is more accurately represented by a Beutler-Fano profile than by a Lorentzian. The weak asymmetry that is found to occur is due principally to interactions with neighboring vibrational resonances. For this type of predissociation in the case of multiple continua, a sum rule for the corresponding line-shape asymmetry is derived. This sum rule is verified numerically using single-channel and multichannel coupled Schrödinger-equation calculations for the Schumann-Runge band system of O2. Similar results are presented for the case of optically active continua.

AB - In the case of weak diatomic molecular predissociation by noninteracting, optically inactive continuum states, it is demonstrated that the predissociation line shape is more accurately represented by a Beutler-Fano profile than by a Lorentzian. The weak asymmetry that is found to occur is due principally to interactions with neighboring vibrational resonances. For this type of predissociation in the case of multiple continua, a sum rule for the corresponding line-shape asymmetry is derived. This sum rule is verified numerically using single-channel and multichannel coupled Schrödinger-equation calculations for the Schumann-Runge band system of O2. Similar results are presented for the case of optically active continua.

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U2 - 10.1103/PhysRevA.63.012513

DO - 10.1103/PhysRevA.63.012513

M3 - Article

SN - 1050-2947

VL - 63

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JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 1

M1 - 012513

ER -

Asymmetry sum rule for molecular predissociation

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