Reply to “Comment on ‘Classical description of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi mathvariant="normal">H</mml:mi><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mi>s</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mo>*</mml:mo></mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml

Cariatore, N. D.; Otranto, S.; Olson, R.E.

doi:10.1103/physreva.93.066702

Cited by 4 publications

(3 citation statements)

References 6 publications

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“…[32] is not stable and cannot be applied for excited states. The results of applying this distribution for collisions of multicharged ions with H(1s) have been compared with previous results in both the Comment [33] and the Reply [34], where it was found that at energies E ≈ 100 keV/u the distribution of Ref. [32] leads to EC partial cross sections practically identical to those calculated with the microcanonical distribution.…”

Section: Collisions Involving Bementioning

confidence: 81%

Application of a grid numerical method to calculate state-selective cross sections for electron capture inBe4++H(1s)collisions

et al. 2016

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Charge-transfer n partial cross sections have been calculated for collisions of Be 4+ with H(1s) by means of a versatile lattice method that is applicable in a wide energy range (between 1 and 500 keV/u). The cross sections, which include up to the high-lying n = 8 level, are compared to existing semiclassical calculations in order to quantify the accuracy of the results. The reliability of the lattice method at high impact energies is confirmed by comparison with classical trajectory Monte Carlo calculations. It is found that the n partial cross sections larger than 10 −18 cm 2 , calculated using the lattice method, agree with differences smaller than 15% with those from the method considered the most accurate at each energy. The calculation yields as well accurate total electron capture cross sections, which are studied in detail at E = 100 keV/u to obtain a converged value.

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Section: Collisions Involving Bementioning

confidence: 81%

Application of a grid numerical method to calculate state-selective cross sections for electron capture inBe4++H(1s)collisions

et al. 2016

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“…Ample use of these strategies has been made in the last few decades [20][21][22]. During the last decade, Cariatore et al introduced an alternative model, termed Z-CTMC, in which the radial distribution for H(1s) was fitted by means of a linear combination of microcanonical distributions corresponding to different projectile charges, leaving the ionization potential of the target untouched [21,23]. Differences among the E-CTMC and Z-CTMC models are currently being evaluated in our group for high projectile charges but are expected to emerge in processes and collision systems that are particularly sensitive to the ionization potential value.…”

Section: Classical Trajectory Monte Carlo Methodsmentioning

confidence: 99%

Collisional Classical Dynamics at the Quantum Scale

Otranto

2023

Atoms

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During the past five decades, classical dynamics have been systematically used to gain insight on collision processes between charged particles and photons with atomic and molecular targets. These methods have proved to be efficient for systems in which numerical intensive quantum mechanical methods are not yet tractable. During the years, reaction cross sections for charge exchange and ionization have been scrutinized at the total and differential levels, leading to a clear understanding of the benefits and limitations inherent in a classical description. In this work, we present a review of the classical trajectory Monte Carlo method, its current status and the perspectives that can be envisaged for the near future.

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“…This approach has been applied for decades within heavy particle collisions [15,16] before it was adopted in the study of atoms interacting with strong laser fields [17,18]. A variety of possibilities exist to select the initial distributions [19]. When ionization via tunneling is important an initial distribution of the initial electron position and momenta after tunneling is useful [20].…”

Section: B Ctmcmentioning

confidence: 99%

Classical and quantum-mechanical scaling of ionization from excited hydrogen atoms in single-cycle THz pulses

et al. 2017

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Excited atoms, or nanotip surfaces, exposed to strong single-cycle terahertz radiation emit electrons with energies strongly dependent on the characteristics of the initial state. Here we consider scaling properties of the ionization probability and electron momenta of H(nd) atoms exposed to a single-cycle pulse of duration 0.5-5 ps, with n = 9,12,15. Results from three-dimensional quantum and classical calculations are in good agreement for long pulse lengths, independent of pulse strength. However, differences appear when the two approaches are compared at the most detailed level of density distributions. For the longest pulse lengths a mixed power law, n-scaling relation, αn −4 + (1 − α)n −3 is shown to hold. Our quantum calculations show that the scaling relation puts its imprint on the momentum distribution of the ionized electrons as well: By multiplying the emitted electron momenta of varying initial n level with the appropriate scaling factor the spectra fall onto a common momentum range. Furthermore, the characteristic momenta of emitted electrons from a fixed n level are proportional to the pulse strength of the driving field.

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Reply to “Comment on ‘Classical description ofH(1s)andH*(n=2)

Cited by 4 publications

References 6 publications

Application of a grid numerical method to calculate state-selective cross sections for electron capture inBe4++H(1s)collisions

Application of a grid numerical method to calculate state-selective cross sections for electron capture inBe4++H(1s)collisions

Collisional Classical Dynamics at the Quantum Scale

Classical and quantum-mechanical scaling of ionization from excited hydrogen atoms in single-cycle THz pulses

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