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We presents a fully quantal version of the Langevin model for the total rate of exoergic ion-molecule reactions or inelastic processes. The model, which is derived from a rigorous multichannel quantum-defect formulation of bimolecular…

Chemical Physics · Physics 2011-06-28 Bo Gao

This paper summarizes the recent theoretical works on inelastic collisions and chemical reactions at cold and ultracold temperatures involving neutral or ionic systems of atoms and molecules. Tables of zero-temperature rate constants of…

Chemical Physics · Physics 2010-01-28 Goulven Quéméner , Naduvalath Balakrishnan , Alexander Dalgarno

We use the quantum threshold laws combined with a classical capture model to provide an analytical estimate of the chemical quenching cross sections and rate coefficients of two colliding particles at ultralow temperatures. We apply this…

Atomic Physics · Physics 2010-02-05 Goulven Quéméner , John L. Bohn

Atom-molecule equilibrium for molecular formation processes is discussed for boson-fermion, fermion-fermion, and boson-boson mixtures of ultracold atomic gases in the framework of quasichemical equilibrium theory. After presentation of the…

Soft Condensed Matter · Physics 2008-08-06 T. Nishimura , A. Matsumoto , H. Yabu

A scattering model is developed for ultracold molecular collisions, which allows inelastic processes, chemical reactions, and complex formation to be treated in a unified way. All these scattering processes and various combinations of them…

Atomic Physics · Physics 2020-09-23 James F. E. Croft , John L. Bohn , Goulven Quéméner

Chemical reactions at ultracold temperature provide an ideal platform to study chemical reactivity at the fundamental level, and to understand how chemical reactions are governed by quantum mechanics. Recent years have witnessed the…

Quantum Gases · Physics 2019-09-25 Jun Rui , Huan Yang , Lan Liu , De-Chao Zhang , Ya-Xiong Liu , Jue Nan , Bo Zhao , Jian-Wei Pan

How does a chemical reaction proceed at ultralow temperatures? Can simple quantum mechanical rules such as quantum statistics, single scattering partial waves, and quantum threshold laws provide a clear understanding for the molecular…

The realization of ultracold polar molecules in laboratories has pushed both physics and chemistry to new realms. In particular, these polar molecules offer scientists unprecedented opportunities to explore chemical reactions in the…

Quantum Gases · Physics 2020-05-19 Mingyuan He , Chenwei Lv , Hai-Qing Lin , Qi Zhou

We present a unified formalism for describing chemical reaction rates of trapped, ultracold molecules. This formalism reduces the scattering to its essential features, namely, a propagation of the reactant molecules through a gauntlet of…

Quantum Physics · Physics 2015-05-19 Zbigniew Idziaszek , Goulven Quéméner , John L. Bohn , Paul S. Julienne

Nonequilibrium steady state of isothermal biochemical cycle kinetics has been extensively studied, but much less investigated under non-isothermal conditions. However, once the heat exchange between subsystems is rather slow, the isothermal…

Chemical Physics · Physics 2016-10-11 Xiao Jin , Hao Ge

We describe here a model for inelastic collisions for electronic excitation and deexcitation processes in a general, multifluid plasma. The model is derived from kinetic theory, and applicable to any mixture and mass ratio. The principle of…

Plasma Physics · Physics 2015-10-08 H. P. Le , J. -L. Cambier

It has recently become possible to form molecules in ultracold gases of trapped alkali metal atoms. Once formed, the molecules may undergo elastic, inelastic and reactive collisions. Inelastic and reactive collisions are particularly…

Atomic Physics · Physics 2010-03-09 Jeremy M. Hutson , Pavel Soldan

Ultracold collisions between spin-polarized Na atoms and vibrationally excited Na_2 molecules are investigated theoretically, using both an inelastic formalism (neglecting atom exchange channels) and a reactive formalism (including atom…

Soft Condensed Matter · Physics 2009-11-07 Pavel Soldan , Marko T. Cvitas , Jeremy M. Hutson , Pascal Honvault , Jean-Michel Launay

At ultralow energies, atoms and molecules undergo collisions and reactions that are best described in terms of quantum mechanical wave functions. In contrast, at higher energies these processes can be understood quasiclassically. Here, we…

Atomic Physics · Physics 2018-10-10 I. Majewska , S. S. Kondov , C. -H. Lee , M. McDonald , B. H. McGuyer , R. Moszynski , T. Zelevinsky

We solve a model that describes a stimulated conversion between ultracold bosonic atoms and molecules. The reaction is triggered by a linearly time-dependent transition throughout the Feshbach resonance. Our solution predicts a…

Quantum Physics · Physics 2022-07-20 Rajesh K. Malla , Vladimir Y. Chernyak , Chen Sun , Nikolai A. Sinitsyn

Universal collision rate constants are calculated for ultracold collisions of two like bosonic or fermionic heteronuclear alkali-metal dimers involving the species Li, Na, K, Rb, or Cs. Universal collisions are those for which the short…

Chemical Physics · Physics 2017-09-13 Paul S. Julienne , Thomas M. Hanna , Zbigniew Idziaszek

Two-body dissipation due to chemical reactions occurs in both ultracold fermionic and bosonic molecular gases. Despite recent advances in achieving quantum degeneracy, the loss dynamics are typically described phenomenologically using rate…

Quantum Gases · Physics 2025-06-10 Xin-Yuan Gao , Yangqian Yan

A simple quantum defect model gives analytic expressions for the complex scattering length and threshold collision rates of ultracold molecules. If the probability of reaction in the short-range part of the collision is high, the model…

Atomic Physics · Physics 2015-05-14 Zbigniew Idziaszek , Paul S. Julienne

We consider a general problem of inelastic collision of particles interacting with power-law potentials. Using quantum defect theory we derive an analytical formula for the energy-dependent complex scattering length, valid for arbitrary…

Atomic Physics · Physics 2014-10-14 Krzysztof Jachymski , Michał Krych , Paul S. Julienne , Zbigniew Idziaszek

A polyatomic ideal gas with weak interaction between the translational and internal modes is considered. For the purpose of describing the behavior of such a gas, a Boltzmann equation is proposed in the form that the collision integral is a…

Analysis of PDEs · Mathematics 2026-03-31 Kazuo Aoki , Niclas Bernhoff
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