Nuclear interference processes in the dissociation of H<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mrow/><mml:mn>2</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:math>in short vuv laser fields
Bibliographic record
Abstract
We use a ${\mathcal{L}}^{2}$-discretization technique for solving the time-dependent Schr\"odinger equation for H${}_{2}^{+}$ interacting with a short vuv laser pulse, in the Born-Oppenheimer approximation. The calculations include the electronic three-dimensional and vibrational one-dimensional motions. In this approach, we use the prolate spheroidal coordinate system to describe the electronic functions and a basis of Laguerre and Legendre functions [Phys. Rev. A 71, 053407 (2005)]. The vibrational motion is treated by using a basis of Sturmian functions. We consider the problem of two-photon dissociation of H${}_{2}^{+}$ with photons ranging from 0.32 to 0.4 a.u corresponding to wavelengths from 143 to 114 nm. The initial vibrational wave packet results from a vertical (Franck-Condon) transition from the H${}_{2}$ ground state towards a superposition of vibrational states in the $1s{\ensuremath{\sigma}}_{g}$ electronic state of H${}_{2}^{+}$. The effects of various types of nuclear interference on the population of the dissociative channels $2s{\ensuremath{\sigma}}_{g}$ and $3d{\ensuremath{\sigma}}_{g}$ are discussed in detail. In addition, we show that for 0.32-a.u. photon energy, the interference effects in the $3d{\ensuremath{\sigma}}_{g}$ channel whose existence has been demonstrated previously [Phys. Rev. Lett. 102, 123001 (2009)] can be observed in the total kinetic energy release spectrum.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 0.001 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".