dorsal/arxiv
View SchemaApplication of the $J$-matrix Method to Faddeev-Merkuriev equation: beyond pseudostates
| Authors | S. A. Zaytsev, V. A. Knyr, Yu. V. Popov, A. Lahmam-Bennani |
|---|---|
| Categories | |
| ArXiv ID | physics/0608042 |
| URL | https://arxiv.org/abs/physics/0608042 |
| DOI | 10.1103/PhysRevA.75.022718 |
Abstract
A version of the $J$-matrix method for solving numerically the three-body Faddeev-Merkuriev differential equations is proposed. This version allows to take into account the full spectrum of the two-body Coulomb subsystem. As a result, a discrete analog of the Lippmann-Schwinger equation is obtained which allows to interpret correctly the three-body wave function in two-body domains. The scheme is applied to calculations of the fully resolved absolute differential cross sections for the He$(e,2e)$He$^+$ and He$(e,3e)$He$^{++}$ reactions at small energy and momentum transfers. The results are in good agreement with the experiment both in shape and in absolute value.
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"abstract": "A version of the $J$-matrix method for solving numerically the three-body\nFaddeev-Merkuriev differential equations is proposed. This version allows to\ntake into account the full spectrum of the two-body Coulomb subsystem. As a\nresult, a discrete analog of the Lippmann-Schwinger equation is obtained which\nallows to interpret correctly the three-body wave function in two-body domains.\nThe scheme is applied to calculations of the fully resolved absolute\ndifferential cross sections for the He$(e,2e)$He$^+$ and He$(e,3e)$He$^{++}$\nreactions at small energy and momentum transfers. The results are in good\nagreement with the experiment both in shape and in absolute value.",
"arxiv_id": "physics/0608042",
"authors": [
"S. A. Zaytsev",
"V. A. Knyr",
"Yu. V. Popov",
"A. Lahmam-Bennani"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.75.022718",
"title": "Application of the $J$-matrix Method to Faddeev-Merkuriev equation: beyond pseudostates",
"url": "https://arxiv.org/abs/physics/0608042"
},
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