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We develop a general quantum theory for reactive collisions involving power-law potentials (-1/r^n) valid from the ultracold up to the high-temperature limit. Our quantum defect framework extends the conventional capture models to include…

Atomic Physics · Physics 2015-06-12 Krzysztof Jachymski , Michal Krych , Paul S. Julienne , Zbigniew Idziaszek

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

Reactive and elastic cross-sections, and rate coefficients, have been calculated for the S(1D)+ D2 (v=0, j=0) reaction using a modified hyperspherical quantum reactive scattering method. The considered collision energy ranges from the…

Chemical Physics · Physics 2023-05-24 Manuel Lara , P. G. Jambrina , F. J. Aoiz

We consider low energy threshold reactive collisions of particles interacting via a van der Waals potential at long range in the presence of external confinement and give analytic formulas for the confinement modified scattering in such…

Quantum Gases · Physics 2015-06-23 Zbigniew Idziaszek , Krzysztof Jachymski , Paul S. Julienne

We present a quantum-defect theory (QDT) for the $-1/r^4$ type of long-range potential, as a foundation for a systematic understanding of charge-neutral quantum systems such as ion-atom, ion-molecule, electron-atom, and positron-atom…

Atomic Physics · Physics 2014-02-18 Bo Gao

We present a formalism for cold and ultracold atom-diatom chemical reactions that combines a quantum close-coupling method at short-range with quantum defect theory at long-range. The method yields full state-to-state rovibrationally…

Atomic Physics · Physics 2015-06-23 Jisha Hazra , Brandon P. Ruzic , John L. Bohn , N. Balakrishnan

Multichannel Quantum Defect Theory (MQDT) is shown to be capable of producing quantitatively accurate results for low-energy atom-molecule scattering calculations. With a suitable choice of reference potential and short-range matching…

Atomic Physics · Physics 2015-03-19 James F. E. Croft , Alisdair O. G. Wallis , Jeremy M. Hutson , Paul S. Julienne

We apply the quantum-defect theory for $-1/R^4$ potential to study the resonant charge exchange process. We show that by taking advantage of the partial-wave-insensitive nature of the formulation, resonant charge exchange of the type of…

Atomic Physics · Physics 2012-09-04 Ming Li , Bo Gao

We investigate collisions of polar molecules in quasi-2D traps in the presence of an external electric field perpendicular to the collision plane. We use the quantum-defect model characterized by two dimensionless parameters: $y$ and $s$.…

Quantum Physics · Physics 2015-08-17 M. Krych , Z. Idziaszek

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

Thermal rate coefficients for some atomic collisions have been observed to be remarkably independent of the details of interatomic interactions at short range. This makes these rate coefficients universal functions of the long-range…

Atomic Physics · Physics 2024-12-20 Xuyang Guo , Kirk W. Madison , James L. Booth , Roman V. Krems

We present a theory for rigorous quantum scattering calculations of probabilities for chemical reactions of atoms with diatomic molecules in the presence of an external electric field. The approach is based on the fully uncoupled basis set…

Atomic Physics · Physics 2012-02-06 T. V. Tscherbul , R. V. Krems

Decoherence effects on quantum and classical dynamics in reactive scattering are examined using a Caldeira-Leggett type model. Through a study of dynamics of the collinear H+H2 reaction and the transmission over simple one-dimensional…

Quantum Physics · Physics 2009-11-11 Heekyung Han , Paul Brumer

Multichannel quantum defect theory (MQDT) has been widely applied to resonant and non-resonant scattering in a variety of atomic collision processes. In recent years, the method has been applied to cold collisions with considerable success,…

Atomic Physics · Physics 2015-06-22 Jisha Hazra , Brandon P. Ruzic , N. Balakrishnan , John L. Bohn

We consider losses in collisions of ultracold molecules described by a simple statistical short-range model that explicitly accounts for the limited lifetime of classically chaotic collision complexes. This confirms that thermally sampling…

Atomic Physics · Physics 2021-11-05 Arthur Christianen , Gerrit C. Groenenboom , Tijs Karman

We present a multichannel quantum-defect theory for slow atomic collisions that takes advantages of the analytic solutions for the long-range potential, and both the energy and the angular-momentum insensitivities of the short-range…

Atomic Physics · Physics 2009-11-11 Bo Gao , Eite Tiesinga , Carl J. Williams , Paul S. Julienne

We follow the emergence of quantum entanglement in a scattering event between two initially uncorrelated distinguishable quantum particles interacting via a delta potential. We calculate the time dependence of the Neumann entropy of the…

Quantum Physics · Physics 2015-05-30 Mihaly G. Benedict , Judit Kovacs , Attila Czirjak

We present a general formulation of multichannel quantum-defect theory (MQDT) for anisotropic long-range potentials. The theory unifies the treatment of atomic and molecular interactions of all types, and greatly expands the set of…

Atomic Physics · Physics 2020-08-19 Bo Gao

Complex transition density can be constructed by a nuclear structure model with a complex basis and/or complex coefficient. In general, the complex transition density is converted to the real one with phase factor. In this study, we apply…

Nuclear Theory · Physics 2022-05-26 T. Furumoto

While collision lifetimes are a fundamental property of few-body scattering events, their behavior at ultralow temperatures is not completely understood. We derive a general expression for the Smith lifetime Q-matrix using multichannel…

Chemical Physics · Physics 2024-12-17 Rebekah Hermsmeier , Timur V. Tscherbul
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