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Threshold resonance effects in reactive processes
Atomic Physics · Submitted 24 Oct 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find a general type of anomalous behavior of the cross sections, and illustrate it with a real system (H$_2$ + Cl).
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The abstract, sentence by sentence
We investigate the effect of near threshold resonances in reactive scattering at low energy. We find a general type of anomalous behavior of the cross sections, and illustrate it with a real system (H$_2$ + Cl). For inelastic processes, the anomalous energy dependence of the total cross sections is given by $\sigma\sim\varepsilon^{-3/2}$. The standard threshold behavior given by Wigner's law ($\sigma\sim\varepsilon^{-1/2}$) is eventually recovered at vanishing energies, but its validity is now limited to a much narrower range of energies. The universal anomalous behavior leads to reaction rate coefficients behaving as $K\sim 1/T$ at low temperatures, instead of the expected constant rate of the Wigner regime. We also provide analytical expressions for s-wave cross sections, and discuss the implication in ultracold physics and chemistry.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We investigate the effect of near threshold resonances in reactive scattering at low energy. | contribution 0.91 | 0.88 | 0.05 | unclear 0.73 |
| s1 | We find a general type of anomalous behavior of the cross sections, and illustrate it with a real system (H$_2$ + Cl). | result 0.82 | 0.96 | 0.22 | asserted 1.00 |
| s2 | For inelastic processes, the anomalous energy dependence of the total cross sections is given by $\sigma\sim\varepsilon^{-3/2}$. | result 1.00 | 0.86 | 0.35 | asserted 1.00 |
| s3 | The standard threshold behavior given by Wigner's law ($\sigma\sim\varepsilon^{-1/2}$) is eventually recovered at vanishing energies, but its validity is now limited to a much narrower range of energies. | result 0.87 | 0.72 | 0.15 | asserted 1.00 |
| s4 | The universal anomalous behavior leads to reaction rate coefficients behaving as $K\sim 1/T$ at low temperatures, instead of the expected constant rate of the Wigner regime. | result 0.69 | 0.84 | 0.35 | asserted 1.00 |
| s5 | We also provide analytical expressions for s-wave cross sections, and discuss the implication in ultracold physics and chemistry. | contribution 0.87 | 0.93 | 0.07 | asserted 0.95 |
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The paper
Original abstract
We investigate the effect of near threshold resonances in reactive scattering at low energy. We find a general type of anomalous behavior of the cross sections, and illustrate it with a real system (H$_2$ + Cl). For inelastic processes, the anomalous energy dependence of the total cross sections is given by $\sigma\sim\varepsilon^{-3/2}$. The standard threshold behavior given by Wigner's law ($\sigma\sim\varepsilon^{-1/2}$) is eventually recovered at vanishing energies, but its validity is now limited to a much narrower range of energies. The universal anomalous behavior leads to reaction rate coefficients behaving as $K\sim 1/T$ at low temperatures, instead of the expected constant rate of the Wigner regime. We also provide analytical expressions for s-wave cross sections, and discuss the implication in ultracold physics and chemistry.
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1 arXiv paper cite this in 1 sentence
Papers citing it
Uses its method or tool 1 paper
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We obtain the $S$-matrix by performing a fully quantum mechanic scattering calculation using the ABC code of Manolopoulos and coworkers [ref] modified for the ultracold regime [ref] .
Controlling ultracold chemical reactions via Rydberg-dressed interactions · Introduction · 1.00
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