Analytical evaluation of atomic form factors: Application to Rayleigh scattering

In electron scattering, the target form factors contribute significantly to the diffraction pattern and carry information on the target electromagnetic charge distribution. Here we show that the presence of electromagnetic radiation, as intense as currently available in Free Electron Lasers, shifts the dependence of the target form factors by a quantity that depends on the number of photons absorbed or emitted by the electron as well as on the parameters of the electromagnetic radiation. As example, we show the impact of intense ultraviolet and soft X-ray radiation on elastic electron scattering by Ne-like Argon ion and by Xenon atom. We find that the shift brought by the radiation to the form factor is in the order of some percent. Our results may open up a new avenue to explore matter with the assistance of laser.

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“…The atomic FF of Ne-like argon has been analytically calculated using the novel technique presented in ref. [46]. As we see from fig.…”

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confidence: 52%

Quantized form factor shift in the presence of free electron laser radiation

Fratini¹,

Safari²,

Hayrapetyan³

et al. 2014

EPL

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“…The results of [35] have already been used in [54] for analytical evaluation of atomic form factors and applied to Rayleigh scattering by neutral atoms. However our presentation is more detailed and has very few, if any, overlaps with [54].…”

Section: Discussionmentioning

confidence: 99%

Alternative implementation of atomic form factors

Alizzi,

Sen,

Silagadze

2021

Preprint

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“…For higher photon frequencies, the number of multipoles that must be included increases. Although the S-matrix calculation is more accurate than the form-factor approach, it is also more computationally expensive and so the form-factor approach is often used [117].…”

Section: Previous Calculationsmentioning

confidence: 99%

A pseudostate method for computing photon-atom scattering cross-sections

Grunefeld¹

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A computational method is developed for photon-atom scattering cross-sections given by the p • A interaction, which dominates scattering at low frequencies. Our method is simple and intuitive, and has the advantage of being extremely adaptable-it can be extended to higher-order scattering processes and applied to any atom. The scattering cross-sections calculated in this thesis provide a more complete picture of the photon-atom interaction than is currently available, which is useful for high-precision atomic, molecular and optical (AMO) experiments and has applications in astrophysics and spectroscopy.

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Analytical evaluation of atomic form factors: Application to Rayleigh scattering

Cited by 7 publications

References 53 publications

Quantized form factor shift in the presence of free electron laser radiation

Quantized form factor shift in the presence of free electron laser radiation

Alternative implementation of atomic form factors

A pseudostate method for computing photon-atom scattering cross-sections

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