dorsal/arxiv
View SchemaThe leading asymptotic terms of the three-body Coulomb scattering wave function
| Authors | A. M. Mukhamedzhanov, A. S. Kadyrov, F. Pirlepesov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0509012 |
| URL | https://arxiv.org/abs/nucl-th/0509012 |
| DOI | 10.1103/PhysRevA.73.012713 |
Abstract
The asymptotic wave function derived by Alt and Mukhamedzhanov [Phys. Rev. A 47, 2004 (1993)] and Mukhamedzhanov and Lieber [Phys. Rev. A 54, 3078 (1996)] has been refined in the region where the pair $ (\beta,\gamma)$ remains close to each other while the third particle $\alpha$ is far away from them $(\rho_{\alpha} \to \infty$, $r_{\alpha}/\rho_{\alpha}\to 0)$. The improved wave function satisfies the Schr\"odinger equation up to the terms of order $O(1/{\rho_{\alpha}}^{3})$, provides the leading asymptotic terms of the three-body scattering wave function with Coulomb interactions and gives further insight into the continuum behavior of the three-charged-particle wave function and helps to obtain $3\to 3$ scattered wave. This opens up further ways of solving and analysing the three-body Schr\"odinger equation by numerical means.
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"abstract": "The asymptotic wave function derived by Alt and Mukhamedzhanov [Phys. Rev. A\n47, 2004 (1993)] and Mukhamedzhanov and Lieber [Phys. Rev. A 54, 3078 (1996)]\nhas been refined in the region where the pair $ (\\beta,\\gamma)$ remains close\nto each other while the third particle $\\alpha$ is far away from them\n$(\\rho_{\\alpha} \\to \\infty$, $r_{\\alpha}/\\rho_{\\alpha}\\to 0)$. The improved\nwave function satisfies the Schr\\\"odinger equation up to the terms of order\n$O(1/{\\rho_{\\alpha}}^{3})$, provides the leading asymptotic terms of the\nthree-body scattering wave function with Coulomb interactions and gives further\ninsight into the continuum behavior of the three-charged-particle wave function\nand helps to obtain $3\\to 3$ scattered wave. This opens up further ways of\nsolving and analysing the three-body Schr\\\"odinger equation by numerical means.",
"arxiv_id": "nucl-th/0509012",
"authors": [
"A. M. Mukhamedzhanov",
"A. S. Kadyrov",
"F. Pirlepesov"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevA.73.012713",
"title": "The leading asymptotic terms of the three-body Coulomb scattering wave function",
"url": "https://arxiv.org/abs/nucl-th/0509012"
},
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