Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics B Atomic and Molecular Physics

Total elastic scattering and spin-change cross sections for collision between alkali atoms

Heloisa Dickinson, M R H Rudge

Published Nov 1, 1970• 22 citations
Publisher

Abstract

Semi-theoretical potential energy curves for the x 1 Sigma and x 3 Sigma states of the diatomic alkalis Na 2 , K 2 , Rb 2 , Cs 2 and RbCs are presented and compared with other estimates. Using these potential-energy functions calculations of the total elastic and spin-change cross sections have been made. The cross sections are compared with experimental data and with the results of other theoretical calculations.

DOI
10.1088/0022-3700/3/11/007

Related papers

Collisions of Spin-Polarized Alkali Na and Cs Atoms in the Ground State

Victor A. Kartoshkin

Abstract The paper considers collisions involving spin polarized alkali Na and Cs atoms in the ground state. The complex cross sections for spin exchange and the elastic scattering cross sections of the considered atoms are calculated in the energy range from 10–4 to 10–2 a.u.

Optics and Spectroscopy•Feb 1, 2024•0 citations

Interactions and low-energy collisions between an alkali ion and an alkali atom of a different nucleus

Arpita Rakshit, Chedli Ghanmi, Hamid Berriche +1 more

Abstract We study theoretically interaction potentials and low-energy collisions between different alkali atoms and alkali ions. Specifically, we consider systems such as X + Y + , where X( Y + ) is either Li(Cs + ) or Cs(Li + ), Na(Cs + ) or Cs(Na + ) and Li(Rb + ) or Rb(Li + ). We calculate the molecular potentials of the ground and first two excited states of these three systems using a pseudopotential method and compare our results with those obtained by others. We derive ground-state scattering wave functions and analyze the cold collisional properties of these systems for a wide range of energies. We find that, in order to get convergent results for the total scattering cross sections for energies of the order 1 K, one needs to take into account at least 60 partial waves. The low-energy scattering properties calculated in this paper may serve as a precursor for experimental exploration of quantum collisions between an alkali atom and an alkali ion of a different nucleus.

arXiv:1504.03114•Journal of Physics B Atomic Molecular and Optical Physics•May 5, 2016•12 citations

Quantum and semiclassical analysis of spin-change cross sections for the alkali diatomic molecules

J. P. Braga, António J. C. Varandas

Spin-change cross sections (SCCS) for the Li 2 , Na 2 , K 2 , Rb 2 and Cs 2 systems were calculated by full quantum mechanics and semiclassical theory. Calculations are reported for temperatures ranging from 10 K to 1000 K. A comparison between quantum, semiclassical and experimental results is presented.

Journal of Physics B Atomic Molecular and Optical Physics•Sep 28, 1990•4 citations

Alkali-Alkali Differential Spin-Exchange Scattering. I

David E. Pritchard, Gary M. Carter, Frank Y. Chu +1 more

We present measurements of differential elastic cross sections for various alkali-alkali pairs, as well as the angular dependence of the probability of electron spin exchange in these collisions. The resolution is sufficient to reveal interference structure in the angular dependence of both quantities. We describe our apparatus, which polarizes one incident beam and analyzes the polarization of the scattered atoms, and discuss the measurement and data-reduction procedures. Results are presented in the range 0.1-0.2 eV for the systems Na-Cs, Na-Rb, Na-K, K-Cs, and K-Rb.

Physical Review A•Nov 1, 1970•25 citations

Complex cross sections of spin exchange in collisions of sodium and potassium atoms in the ground state

Victor A. Kartoshkin

Complex cross sections of the spin exchange are calculated for the first time for interacting Na and K atoms based on the data on the singlet (X 1Σ+) and triplet (a 3Σ+) potentials that describe the interaction of these alkali-metal atoms in the ground state. The obtained cross sections allow one to theoretically consider the polarization transfer processes and calculate the relaxation times and the magnetic resonance frequency shifts caused by Na-K spin-exchange collisions.

Optics and Spectroscopy•Nov 1, 2010•15 citations

Calculations of Spin-Exchange Cross Sections of Alkali Atoms by Partial-Wave Analysis

C. K. Chang, R. H. Walker

Four different spin-dependent scattering cross sections are calculated by semiclassical and by partial-wave analyses for each of the five alkali atoms, Li, Na, K, Rb, and Cs, for 124 different relative kinetic energies. These cross sections are finally averaged thermally. The results agree very well with experiments.In the calculation, the interaction potential between two alkali atoms is calculated by individually considering the interaction due to the two valence $s$ electrons and to the closed electronic shells of the two atoms. The two-$s$-electron interaction is generated ad hoc phenomenologically from the known hydrogen-hydrogen interatomic potential and the closed-shell interaction from interatomic potentials of two inert atoms corresponding to the cores. The potentials so obtained are in agreement with those constructed from band spectra.

Physical Review•Feb 5, 1969•12 citations
Semi-theoretical potential energy curves for the x 1 Sigma and x 3 Sigma states of the diatomic alkalis Na 2 , K 2 , Rb 2 , Cs 2 and RbCs are presented and compared with other estimates. Using these potential-energy functions calculations of the total elastic and spin-change cross sections have been made. The cross sections are compared with experimental data and with the results of other theoretical calculations.
Abstract We study theoretically interaction potentials and low-energy collisions between different alkali atoms and alkali ions. Specifically, we consider systems such as X + Y + , where X( Y + ) is either Li(Cs + ) or Cs(Li + ), Na(Cs + ) or Cs(Na + ) and Li(Rb + ) or Rb(Li + ). We calculate the molecular potentials of the ground and first two excited states of these three systems using a pseudopotential method and compare our results with those obtained by others. We derive ground-state scattering wave functions and analyze the cold collisional properties of these systems for a wide range of energies. We find that, in order to get convergent results for the total scattering cross sections for energies of the order 1 K, one needs to take into account at least 60 partial waves. The low-energy scattering properties calculated in this paper may serve as a precursor for experimental exploration of quantum collisions between an alkali atom and an alkali ion of a different nucleus.
We present measurements of differential elastic cross sections for various alkali-alkali pairs, as well as the angular dependence of the probability of electron spin exchange in these collisions. The resolution is sufficient to reveal interference structure in the angular dependence of both quantities. We describe our apparatus, which polarizes one incident beam and analyzes the polarization of the scattered atoms, and discuss the measurement and data-reduction procedures. Results are presented in the range 0.1-0.2 eV for the systems Na-Cs, Na-Rb, Na-K, K-Cs, and K-Rb.
Four different spin-dependent scattering cross sections are calculated by semiclassical and by partial-wave analyses for each of the five alkali atoms, Li, Na, K, Rb, and Cs, for 124 different relative kinetic energies. These cross sections are finally averaged thermally. The results agree very well with experiments.In the calculation, the interaction potential between two alkali atoms is calculated by individually considering the interaction due to the two valence sss electrons and to the closed electronic shells of the two atoms. The two-sss-electron interaction is generated ad hoc phenomenologically from the known hydrogen-hydrogen interatomic potential and the closed-shell interaction from interatomic potentials of two inert atoms corresponding to the cores. The potentials so obtained are in agreement with those constructed from band spectra.