Tertiary and general-order collisions (II)

Delves, L. M.

doi:10.1016/0029-5582(60)90174-7

Cited by 328 publications

(143 citation statements)

References 7 publications

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“…The theory of reactive scattering in atom-diatom systems both in Jacobi and hyperspherical coordinates is extensively described in the literature and is not reproduced here. [126][127][128][129][191][192][193][194][195] The hyperspherical coordinates for triatomic systems involve three internal and three external coordinates. The internal coordinates include a radial coordinate called the hyperradius, ρ =  S 2 τ + s 2 τ , and two hyper-angles.…”

Section: Reactive Scattering Formalismmentioning

confidence: 99%

Perspective: Ultracold molecules and the dawn of cold controlled chemistry

Balakrishnan

2016

The Journal of Chemical Physics

291

271

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Ultracold molecules offer unprecedented opportunities for the controlled interrogation of molecular events, including chemical reactivity in the ultimate quantum regime. The proliferation of methods to create, cool, and confine them has allowed the investigation of a diverse array of molecular systems and chemical reactions at temperatures where only a single partial wave contributes. Here we present a brief account of recent progress on the experimental and theoretical fronts on cold and ultracold molecules and the opportunities and challenges they provide for a fundamental understanding of bimolecular chemical reaction dynamics. Published by AIP Publishing. [http://dx

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Section: Reactive Scattering Formalismmentioning

confidence: 99%

Perspective: Ultracold molecules and the dawn of cold controlled chemistry

Balakrishnan

2016

The Journal of Chemical Physics

291

271

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“…Delves [31,32] used these coordinates to discuss rearrangement nuclear collisions from a formal perspective. But a turning point in the utility of hyperspherical coordinate methods was introduced by Macek in 1968 [38] in the form of two related tools: the adiabatic hyperspherical approximation and the (in principle exact) adiabatic hyperspherical representation.…”

Section: Introductionmentioning

confidence: 99%

The hyperspherical four-fermion problem

Rittenhouse

Stecher

D'Incao

et al. 2011

J. Phys. B: At. Mol. Opt. Phys.

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The problem of a few interacting fermions in quantum physics has sparked intense interest, particularly in recent years owing to connections with the behaviour of superconductors, fermionic superfluids and finite nuclei. This review addresses recent developments in the theoretical description of four fermions having finite-range interactions, stressing insights that have emerged from a hyperspherical coordinate perspective. The subject is complicated, so we have included many detailed formulae that will hopefully make these methods accessible to others interested in using them. The universality regime, where the dominant length scale in the problem is the two-body scattering length, is particularly stressed, including its implications for the famous BCS-BEC crossover problem. Derivations and relevant formulae are also included for the calculation of challenging few-body processes such as recombination.

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“…Such a coordinate system is inappropriate for three-body breakup, as the asymptotic region is not well-defined in terms of a single degree of freedom. Instead, we use Delves-type [30,31] hyperspherical coordinates, in which there is only one dissociative degree of freedom, the hyperradius R. These coordinates are based upon the Jacobi coordinate system in which r is an OH bond length and R connects the OH center of mass with the other H, and include the Jacobi angle γ, a hyperangle θ, and the hyperradius R:…”

mentioning

confidence: 99%

Three-body breakup in dissociative electron attachment to the water molecule

2008

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We report the results of ab initio calculations on dissociative electron attachment (DEA) to water that demonstrate the importance of including three-body breakup in the dissociation dynamics. While three-body breakup is ubiquitous in the analogous process of dissociative recombination, its importance in low-energy dissociative electron attachment to a polyatomic target has not previously been quantified. Our calculations, along with our earlier studies of DEA into two-body channels, indicate that three-body breakup is a major component of the observed O − cross section. The local complex potential model provides a generally accurate picture of the experimentally observed features in this system, reproducing some quantitatively, others qualitatively, and one not at all.PACS numbers: 03.65. Nk, 34.80.Ht Dissociative electron attachment (DEA) to the water molecule, [9] observed the opening of the lower three-body channel, as discerned through the kinetic energy distribution of the O − fragment. However, because of the large O atom/H 2 mass ratio, such a measurement is difficult and a quantitative experimental determination of the final-state branching ratios among the two-and three-body breakup channels has yet to be published.There is strong reason to believe that three-body breakup is important for describing DEA leading to O − production. In particular, examination of the shape of the 2 A 1 surface suggests that three-body breakup may be the key to describing O − production via this resonance. The 2 A 1 (1 2 A ′ ) electronic surrface slopes downward toward linear H-O-H geometry and is dissociative along the OH bonds. It provides a path for symmetric dissociation of the OH bonds to produce O − + H + H, but also slopes downward toward the H − + OH asymptotes. Similarly, the 2 B 2 diabatic surface, which equals the 2 B 2 adiabatic surface for C 2v geometries, provides a path toward symmetric dissociation through the conical intersection with the 2 A 1 state. Symmetric dissociation of the 2 B 2 state from the equilibrium geometry of the neutral leads to the O − + H + H three-body asymptote.Our methodology is very similar to that used in our previous calculations, so we provide only a brief summary

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Tertiary and general-order collisions (II)

Cited by 328 publications

References 7 publications

Perspective: Ultracold molecules and the dawn of cold controlled chemistry

Perspective: Ultracold molecules and the dawn of cold controlled chemistry

The hyperspherical four-fermion problem

Three-body breakup in dissociative electron attachment to the water molecule

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