Spin-resolved elastic scattering of electrons from sodium below the inelastic threshold

Lorentz, Steven R.; Scholten, R. E.; McClelland, Jabez J.; Kelley, Michael H.; Celotta, Robert

doi:10.1103/physrevlett.67.3761

Cited by 19 publications

(6 citation statements)

References 11 publications

(10 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…in this case the (normalized) analysis density operator is just 1n L 4(2Lo+ 1) (15) 3. The detected scattering intensity Note that we can also construct the restriction of this operator to the spin eigenspace +'8'"' L', which we shall need in the analysis of experiments in Sec.…”

Section: Density Operators For Experimentsmentioning

confidence: 99%

“…ase dlfFerence between the ML =+1 and -1 amplitudes in each spin channel, while the triplet-singlet phase angles 5+, (8) In a series of papers [8,9,11,13,15], McClelland and co-workers have measUred spin-dependent cross sections and OA parameters for elastic (3s -+3s) and superelastic (3p~3s ) scattering of beams of spin-polarized electrons from beams of state-selected Na atoms in order to resolve scattering in the singlet and the triplet spin channels. Qf particular interest here are experiments that use optical pumping to spin polarize the initial atoms along the z ' axis of the natural frame, normal to the scattering plane.…”

Section: Singlet and Triplet Alignment Anglesmentioning

confidence: 99%

“…Also shown is a simulation of the energy mismatch (medium-dashed curve) constructed by combining the 10CC triplet-to-singlet ratio at 4.1 eV with the 10CC DCS at 4.0 eV. the determination by McClelland and co-workers [15].…”

Section: Elastic Scattering Amplitudesmentioning

confidence: 99%

See 2 more Smart Citations

Low-energy electron collisions with sodium: Scattering of spin-polarized electrons

et al. 1995

View full text Add to dashboard Cite

The electron-sodium system is a prototype of nonrelativistic electron scattering from a quasi-oneelectron atomic target and is tractable both experimentally and theoretically. Recently, this system has been studied in a series of sophisticated measurements that together approach complete experiments for elastic (3s~3s) and inelastic (3s~3@)scattering. We apply here the theory of orientation and alignment (OA) in atomic collisions to this system using scattering matrices from coupled channel R-matrix calculations described in the first paper in this series [W. K. Trail et al. , Phys. Rev. A 49, 3620 (1994)]. To facilitate the extension of OA theory to other transitions and systems and to clarify its relationship to canonical scattering theory, we present a reformulation in terms of the state spaces identified by a particular scattering event. Following the application of this formulation to paradigmatic OA experiments, we compare our results to those from existing measurements and other theoretical calculations. To contextualize these experiments and aid in identifying promising regions for future measurements, we also present a comprehensive three-dimensional overview of the calculated differential OA parameters for energies from threshold to 8.6 eV.PACS number (s): 34.80.8m, 34.80. Dp, 34.80.Nz 'Present address: trends and structures that distinguish and characterize this system. The cross sections considered in Ref. [1] do not fully describe the physics of e-Na collisions. Until the past two decades, most scattering experiments measured "conventional" diff'erential (DCSs) and/or integrated cross sections (ICSs) that implicitly involve averages over initial and sums over Anal spin and orbital magnetic substates. These necessary averages obscure much of the dynamical information contained in the scattering amplitudes. More recently, however, experiments [2 -17] have become feasible that use a variety of techniques to prepare the target atoms in an initial nonequilibrium distribution of magnetic and/or spin substates or to detect the magnetic and/or spin substates of the results of a scattering event. Such experiments have dramatically increased our understanding of atomic collisions and provide data that test theories at a more fundamental level than was heretofore possible [18 -32].In the present paper, therefore, we extend this inquiry to a class of experiments that uses initial-state preparation and/or final-state analysis to look more deeply into the physics of low-energy e-Na scattering. Rather than DOS's, these experiments measure less familiar quantities snch as exchange asymmetries and triplet-singlet phase angles; the importance of these "orientation and alignment (OA) parameters" rests in their often subtle physical interpretation and in their relationship to the scattering amplitudes for the transitions in questionmatters we shall address in Sec. II. As in Ref.[1], we focus here on scattering from the ground state, considering the two transitions for which data are available: elastic scattering and the...

show abstract

Section: Density Operators For Experimentsmentioning

confidence: 99%

Section: Singlet and Triplet Alignment Anglesmentioning

confidence: 99%

See 1 more Smart Citation

Low-energy electron collisions with sodium: Scattering of spin-polarized electrons

et al. 1995

View full text Add to dashboard Cite

show abstract

“…Alkali atoms such as Li and Na are easier to prepare in the laboratory, and yet their chemistry is very similar to that of H, having just one valence electron. This allowed for some very accurate measurements of e-Li [6][7][8], e-Na [9][10][11][12], and e-K [13][14][15] scattering systems. So the next stage in trying to understand the discrepancy for the e-H system was to extend the CCC method to the alkali atoms.…”

Section: Introductionmentioning

confidence: 99%

Taking the Convergent Close-Coupling Method beyond Helium: The Utility of the Hartree-Fock Theory

Bray

Weber

Fursa

et al. 2022

Atoms

View full text Add to dashboard Cite

The convergent close-coupling (CCC) method was initially developed to describe electron scattering on atomic hydrogen and the hydrogenic ions such as He+. The latter allows implementation of double photoionization (DPI) of the helium atom. For more complex single valence-electron atomic and ionic targets, the direct and exchange interaction with the inner electron core needs to be taken into account. For this purpose, the Hartree-Fock (HF) computer codes developed in the group of Miron Amusia have been adapted. In this brief review article, we demonstrate the utility of the HF technique by examples of electron scattering on Li and the DPI of the H− and Li− ions. We also discuss that modern-day computer infrastructure allows the associated CCC code, and others, to be readily run directly via the Atomic, Molecular and Optical Science Gateway.

show abstract

“…Hydrogen [6], lithium [7], and sodium [8,10] have been studied in varying amounts of detail. The experiments we report here, with polarized incident particles and without spin analysis after scattering, give experimental results which can be presented as a ratio of triplet-to-singlet scattering cross sections r = ]T[ /~S~.…”

mentioning

confidence: 99%

Determination of complex scattering amplitudes in low-energy elastic electron-sodium scattering

et al. 1992

Self Cite

View full text Add to dashboard Cite

show abstract

Spin-resolved elastic scattering of electrons from sodium below the inelastic threshold

Cited by 19 publications

References 11 publications

Low-energy electron collisions with sodium: Scattering of spin-polarized electrons

Low-energy electron collisions with sodium: Scattering of spin-polarized electrons

Taking the Convergent Close-Coupling Method beyond Helium: The Utility of the Hartree-Fock Theory

Determination of complex scattering amplitudes in low-energy elastic electron-sodium scattering

Contact Info

Product

Resources

About