Total electron scattering cross sections for argon, krypton and xenon at low electron energies

Subramanian, K. P.; Kumar, Vijay

doi:10.1088/0022-3700/20/20/026

Cited by 52 publications

(31 citation statements)

References 15 publications

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“…The lateral drift energy of electrons computed in the absence of collisions is similar in both gases, since the filament clamping intensity is nearly identical in both gases. However, in the relevant range of energies, between 0.1 and 1 eV, the total scattering cross section of electrons in N 2 comprised between 5 and 10*10 -16 cm² [13,14], is larger than in Ar where the corresponding value is below 1*10 -16 cm² [15]. This leads to an important reduction of the electron mean free path, and consequently of the Coulomb wake force, in N 2 .…”

Section: Introductionmentioning

confidence: 94%

“…Circularly polarized light induces an initial forward motion of the plasma wave because it simultaneously increases the forward drift energy, as seen in Figure 4, and decreases the Coulomb wake force because both gases have a large scattering cross section above 1 eV [13][14][15]. Finally, one expects an increase of the Coulomb wake force at lower gas pressure because of the increase of electron mean free path.…”

Section: Introductionmentioning

confidence: 99%

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Measurement and Control of Plasma Oscillations in Femtosecond Filaments

et al. 2011

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Section: Introductionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Measurement and Control of Plasma Oscillations in Femtosecond Filaments

et al. 2011

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“…[19]. Experiment: open circles with larger error bars show the cross sections of Gus'kov et al [14], solid circles with smaller error bars show cross sections of Buckman and Lohmann [20], and solid circles without error bars show results of Subramanian and Kumar [21].…”

mentioning

confidence: 99%

Simple Method for Obtaining Electron Scattering Phase Shifts from Energies of an Atom in a Cavity

Savukov

2006

Phys. Rev. Lett.

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We present a simple method for obtaining elastic scattering phase shifts and cross sections from energies of atoms or ions in cavities. This method does not require calculations of wavefunctions of continuum states, is very general, and is extremely convenient from practical point of view: some conventional computer codes designed for the energies of bound states can be used without modifications. The application of the method is illustrated on an example of electron scattering from Kr and Ar. From Brueckner orbital energies in variable cavities, we have obtained ab initio cross sections that are in close agreement with experiment. The relativistic effects are also considered and found to be small below 10 eV.PACS numbers: 34.80. Bm, 31.15.Ar, 31.30.Jv Conventional methods of calculations of scattering cross sections are cumbersome, inconvenient, and very often inaccurate. This is only because they all are based on computing continuum, or sometimes quasicontinuum, wavefunctions and asymptotic fittings to extract phase shifts. Such an approach requires modifications of conventional atomic structure codes, developed for bound states, or just writing new programs altogether. For a known potential it is not a difficult task -this is why numerous semi-empirical calculations can be found in the literature -but the level of accuracy and theoretical uncertainty of calculations based on ad hoc potentials can not be totally satisfactory. For ab initio calculations already complicated codes have to be rewritten, which takes considerable amount of time. For multiconfiguration Hartree-Fock (MCHF) method this was undertaken by Saha [1, 2] to obtain ab initio results in agreement with experiment. However, many-body perturbation theory (MBPT) methods, which were developed for fundamental symmetry tests, have not been used for calculations of electron scattering cross sections.The method we propose in this letter is very simple and general: instead of finding continuum wavefunctions and fitting them to asymptotical solutions to obtain phase shifts for given electron energies, we impose a boundary condition on an atom, an ion, or a molecule to make the spectrum discreet and then from discreet energies extract phase shifts which are uniquely related to these energies. Thus the problem of phase shifts is converted into a conventional problem of finding energies of bound states. Especially simple relation exists, as we will show, in the case of an atom in a spherical cavity.It can be shown that continuum and quasicontinuum wavefunctions are equivalent. For example, in Ref. [3] it was stated that B-spline solutions obtained in a cavity can be interpreted as a representation of true continuum states with a different normalization, and the energy of the quasicontinuum states can be set to an arbitrary positive value by adjusting the size of the cavity. There are also other methods that give B-spline continuum wavefunctions at any energy: the Galerkin method [4], leastsquares approach [5,6], and free boundary condition approach [7]. ...

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“…The grey area in the plot (clearly visible only near R-T minimum) corresponds to 50 % credibility region due to uncertainties of MERT parameters. The fit is compared with experimental data by: Guskov et al [25], Dababneh et al [26], Jost et al [27], Nickiel et al [28], Subramanian et al [29], Alle et al [31], Szmytkowski et al [32], and Kurokawa et al [14,15] are smaller than for Kr (see extensive review of scattering cross-sections in ref. [24]).…”

Section: Total Cross Sectionsmentioning

confidence: 99%

Markov Chain Monte Carlo Effective Range Analysis of Low-Energy Electron Elastic Scattering from Xenon

Fedus

2015

Braz J Phys

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Modified effective range theory formulated as a Bayesian statistical model through the combination with Markov Chain Monte Carlo integration and fitting techniques is used to check the compatibility of different e − −Xe scattering data such as the total cross-sections, the momentum transfer cross-sections, and the differential cross-sections that were determined experimentally in the region of Ramsauer-Townsend minimum. On the basis of this predictive approach, the most probable value of the scattering length, (−6.51 ± 0.05)a 0 , is proposed. The present analysis suggests that the non-relativistic spinless effective range theory is suitable for the description of angular and energy dependencies of e − −Xe elastic scattering cross-sections below the threshold for first inelastic process.

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Total electron scattering cross sections for argon, krypton and xenon at low electron energies

Cited by 52 publications

References 15 publications

Measurement and Control of Plasma Oscillations in Femtosecond Filaments

Measurement and Control of Plasma Oscillations in Femtosecond Filaments

Simple Method for Obtaining Electron Scattering Phase Shifts from Energies of an Atom in a Cavity

Markov Chain Monte Carlo Effective Range Analysis of Low-Energy Electron Elastic Scattering from Xenon

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