Universal variational expansion for high-precision bound-state calculations in three-body systems. Applications to weakly bound, adiabatic and two-shell cluster systems
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Bibliographic record
Abstract
The results of high-precision variational calculations are reported for a number of bound states in various Coulomb three-body systems, including helium and helium-muonic atoms, some adiabatic systems (H2+, D 2+ and DT+ ions) and muonic molecular ions ppμ, ddμ, ttμ and dtμ. The hyperfine splittings for the double electron-excited states in the helium-muonic 3He2+ μ−e− and 4He2+ μ−e− atoms have also been determined. The results of this study are significantly more accurate than results known from earlier calculations for all considered systems and states. The approach can be used to determine the bound-state spectra in various three-body systems to arbitrary high accuracy. We also discuss a number of complications which are usually detected in high-precision bound-state calculations of few-body systems.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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