dorsal/arxiv
View SchemaLocal Momentum and a Three-Body Gauge
| Authors | M. J. Schillaci |
|---|---|
| Categories | |
| ArXiv ID | physics/0009024 |
| URL | https://arxiv.org/abs/physics/0009024 |
Abstract
In recent years researchers have attempted to improve the continuum state three-body wavefunction for three, mutually interacting Coulomb particles by including, so called, local momentum effects, which depend upon the logarithmic gradient of the continuum, two-body Coulomb waves. Using the exact three-body wavefunction in the region where two of the three particles remain close, a revised description of these local momenta, is attained which predicts that a quantum-mechanical impulse may develop in the reaction zone, causing like-sign-charged particles to decrease their radial separation and opposite-sign-charged particles to increase their radial separation. The consequences of these predictions are investigated through both quantum and semi-classical techniques where the total energy of a two-body continuum Coulomb system in the presence of a third, mutually interacting body are analyzed. Numerical calculations confirm that while ignoring these local effects for light-ion-atom processes, may be appropriate, three-body effects may dominate in the reaction zone for heavy-ion-atom processes. This hypothesis is investigated and it is shown that a real-valued, position-dependent phase is added to the wavefunction. Further analysis shows that one may detect asymptotic variations in the scattering amplitudes for massive systems at near-threshold energies. These results provide convincing theoretical and physical evidence for a formal three-body gauge.
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"abstract": "In recent years researchers have attempted to improve the continuum state\nthree-body wavefunction for three, mutually interacting Coulomb particles by\nincluding, so called, local momentum effects, which depend upon the logarithmic\ngradient of the continuum, two-body Coulomb waves. Using the exact three-body\nwavefunction in the region where two of the three particles remain close, a\nrevised description of these local momenta, is attained which predicts that a\nquantum-mechanical impulse may develop in the reaction zone, causing\nlike-sign-charged particles to decrease their radial separation and\nopposite-sign-charged particles to increase their radial separation. The\nconsequences of these predictions are investigated through both quantum and\nsemi-classical techniques where the total energy of a two-body continuum\nCoulomb system in the presence of a third, mutually interacting body are\nanalyzed. Numerical calculations confirm that while ignoring these local\neffects for light-ion-atom processes, may be appropriate, three-body effects\nmay dominate in the reaction zone for heavy-ion-atom processes. This hypothesis\nis investigated and it is shown that a real-valued, position-dependent phase is\nadded to the wavefunction. Further analysis shows that one may detect\nasymptotic variations in the scattering amplitudes for massive systems at\nnear-threshold energies. These results provide convincing theoretical and\nphysical evidence for a formal three-body gauge.",
"arxiv_id": "physics/0009024",
"authors": [
"M. J. Schillaci"
],
"categories": [
"physics.atom-ph"
],
"title": "Local Momentum and a Three-Body Gauge",
"url": "https://arxiv.org/abs/physics/0009024"
},
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