Long-range Rydberg molecule 
Rb2
: Two-electron 
R
-matrix calculations at intermediate internuclear distances

The notion of coalgebra symmetry in Hamiltonian systems is analysed. It is shown how the complete integrability of some long-range interacting Hamiltonians can be extracted from their associated coalgebra structure with no use of a quantum R-matrix. Within this framework, integrable deformations can be considered as direct consequences of the introduction of coalgebra deformations (quantum algebras). As an example, the Gaudin magnet is derived from a sl(2) coalgebra, and a completely integrable deformation of this Hamiltonian is obtained through a twisted gl(2) quantum algebra.

Download Full-text

Potentials of long-range cesium Rydberg molecule

Acta Physica Sinica ◽

10.7498/aps.64.133202 ◽

2015 ◽

Vol 64 (13) ◽

pp. 133202

Author(s):

Han Xiao-Xuan ◽

Zhao Jian-Ming ◽

Li Chang-Yong ◽

Jia Suo-Tang

Keyword(s):

Long Range ◽

Rydberg Molecule

Download Full-text

Potential of Long-range ns6s Rydberg Molecule

Acta Sinica Quantum Optica ◽

10.3788/jqo20172301.0006 ◽

2017 ◽

Vol 23 (1) ◽

pp. 46-51

Author(s):

韩小萱 HAN Xiao-xuan ◽

焦月春 JIAO Yue-chun ◽

赵建明 ZHAO Jian-ming

Keyword(s):

Long Range ◽

Rydberg Molecule

Download Full-text

Long-Range Atom–Ion Rydberg Molecule: A Novel Molecular Binding Mechanism

Atoms ◽

10.3390/atoms9020034 ◽

2021 ◽

Vol 9 (2) ◽

pp. 34

Author(s):

Markus Deiß ◽

Shinsuke Haze ◽

Johannes Hecker Denschlag

Keyword(s):

Long Range ◽

Bound States ◽

Rydberg Atom ◽

Bound State ◽

Binding Mechanism ◽

Potential Wells ◽

Molecular Binding ◽

Wave Packet Dynamics ◽

Rydberg Molecule ◽

Potential Energy Landscapes

We present a novel binding mechanism where a neutral Rydberg atom and an atomic ion form a molecular bound state at a large internuclear distance. The binding mechanism is based on Stark shifts and level crossings that are induced in the Rydberg atom due to the electric field of the ion. At particular internuclear distances between the Rydberg atom and the ion, potential wells occur that can hold atom–ion molecular bound states. Apart from the binding mechanism, we describe important properties of the long-range atom–ion Rydberg molecule, such as its lifetime and decay paths, its vibrational and rotational structure, and its large dipole moment. Furthermore, we discuss methods of how to produce and detect it. The unusual properties of the long-range atom–ion Rydberg molecule give rise to interesting prospects for studies of wave packet dynamics in engineered potential energy landscapes.

Download Full-text

Interactions of Positrons and Electrons with Hydrogenic Systems, Excitation, Resonances, and Photoabsorption in Two-Electron Systems

Recent Advances in Nanophotonics - Fundamentals and Applications ◽

10.5772/intechopen.91763 ◽

2020 ◽

Author(s):

Anand K. Bhatia

Keyword(s):

Long Range ◽

Cross Sections ◽

Phase Shifts ◽

Electron Systems ◽

Positron Impact ◽

Matrix Formulation ◽

Close Coupling ◽

R Matrix ◽

Long Range Correlations ◽

Approaches To Study

There are a number of approaches to study interactions of positrons and electrons with hydrogenic targets. Among the most commonly used are the method of polarized orbital, the close-coupling approximation, and the R-matrix formulation. The last two approaches take into account the short-range and long-range correlations. The method of polarized orbital takes into account only long-range correlations but is not variationally correct. This method has recently been modified to take into account both types of correlations and is variationally correct. It has been applied to calculate phase shifts of scattering from hydrogenic systems like H, He+, and Li2+. The phase shifts obtained using this method have lower bounds to the exact phase shifts and agree with those obtained using other approaches. This approach has also been applied to calculate resonance parameters in two-electron systems obtaining results which agree with those obtained using the Feshbach projection-operator formalism. Furthermore this method has been employed to calculate photodetachment and photoionization of two-electron systems, obtaining very accurate cross sections which agree with the experimental results. Photodetachment cross sections are particularly useful in the study of the opacity of the sun. Recently, excitation of the atomic hydrogen by electron impact and also by positron impact has been studied by this method.

Download Full-text

Perturbation model for the X1 Σ+ and a3 Σ+ states of NaK at intermediate internuclear distances beyond 6 Å

Canadian Journal of Physics ◽

10.1139/p95-078 ◽

1995 ◽

Vol 73 (7-8) ◽

pp. 537-542 ◽

Cited By ~ 3

Author(s):

K. Hussein ◽

M. Aubert-Frecon

Keyword(s):

Asymptotic Formula ◽

Long Range ◽

Present Model ◽

Experimental Results ◽

Exchange Contribution ◽

Perturbation Model ◽

Internuclear Distances ◽

Analytical Expressions ◽

Induction Energy ◽

Damping Functions

The energy of the X1Σ+ and a3Σ+ states of NaK was estimated from a perturbative model for intermediate- and long-range internuclear distances. Both the charge overlap effects calculated from a model previously published and the exchange contribution estimated from the asymptotic formula were taken into account. Fitted analytical expressions are proposed for electrostatic and induction energy terms as well as for various dispersion damping functions. From comparison with accurate experimental results, the present model is seen to be valid for values of R greater than 6 Å (1 Å = 10−10 m) for the X1Σ+ state and R greater than 8 Å for the a3Z+ state.

Download Full-text