Measurement of Spin-Exchange Effects in Electron-Hydrogen Collisions: 90° Elastic Scattering from 4 to 30 eV

Fletcher, G. D.; Alguard, M. J.; Hughes, V. W.; Tu, C. W.; Wainwright, P. F.; Lubell, M. S.; Raith, Wilhelm; Tang, Feng

doi:10.1103/physrevlett.48.1671

Cited by 26 publications

(3 citation statements)

References 27 publications

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“…which has never been investigated in previous theoretical study [95][96][97][98][99][100] or experiments [101][102][103][104]. But this term may contribute even smaller fractions to total cross-section, since the sum of all spin-dependent terms have attributed just minor fraction in total cross-section.…”

Section: The Conservation Law For the Scale-invariant Interactionmentioning

confidence: 90%

Scaling Transformation for Nonlocal Interactions

Wang

2015

JMP

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In the light of their relationships with renormalization, in this paper we associate the scaling transformation with nonlocal interactions. On one hand, the association leads us to interpret the nonlocality with locally symmetric method. On the other hand, we find that the nonlocal interaction between hadrons could be test ground for scaling transformation if ascribing the running effects in renormalization to scaling transformation. First we derive directly from group theory the operator/coordinate representation and unitary/spinor representation for scaling transformation, then link them together by inquiring a scaling-invariant interaction vertex mimicking the similar process of Lorentz transformation applied to Dirac equation. The main feature of this paper is that we discuss both the representations in a sole physical frame. The representations correspond respectively to the spatial freedom and the intrinsic freedom of the same quantum system. And the latter is recognized to contribute to spin angular momentum that in literature has never been considered seriously. The nonlocal interaction Lagrangian turns out to vary under scaling transformation, analogous to running cases in renormalization. And the total Lagrangian becomes scale invariant only under some extreme conditions. The conservation law of this extreme Lagrangian is discussed and a contribution named scalum appears to the spin angular momentum. Finally a mechanism is designed to test the scaling effect on nonlocal interaction.Comment: 17 pages, 3 figure

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Section: The Conservation Law For the Scale-invariant Interactionmentioning

confidence: 90%

Scaling Transformation for Nonlocal Interactions

Wang

2015

JMP

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“…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

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“…Earlier spin-resolved low-energy elastic electron-alkali scattering investigations have involved scattering from potassium using the recoil method [4], scattering from hydrogen at a fixed angle [5], and scattering from lithium at three fixed angles [6]. These pioneering experiments had either low angular resolution, large error estimates, or only a few data points below the inelastic threshold.…”

mentioning

confidence: 99%

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

et al. 1991

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A very stringent test of low-energy electron-atom collision theory is made in the most favorable energy regime for the close-coupling approximation. Data are presented as exchange asymmetries in angleresolved elastic scattering of spin-polarized electrons from spin-polarized sodium atoms. Data are reported for two incident energies, 1.0 and 1.6 eV, both of which are below the first excited-state threshold. The angular range is 20°-142.5°. The close-coupling approximation is found to give excellent agreement with experiment at both energies.

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Measurement of Spin-Exchange Effects in Electron-Hydrogen Collisions: 90° Elastic Scattering from 4 to 30 eV

Cited by 26 publications

References 27 publications

Scaling Transformation for Nonlocal Interactions

Scaling Transformation for Nonlocal Interactions

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

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

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