dorsal/arxiv
View SchemaExact solution of the restricted three-body Santilli-Shillady model of $H_2$ molecule
| Authors | A. K. Aringazin, M. G. Kucherenko |
|---|---|
| Categories | |
| ArXiv ID | physics/0001056 |
| URL | https://arxiv.org/abs/physics/0001056 |
| Journal | Hadronic J. 23 (2000) 1-56 |
Abstract
In this paper, we study the exact solution of the restricted isochemical model of $H_2$ molecule with fixed nuclei recently proposed by Santilli and Shillady in which the two electrons are assumed to be bonded/correlated into a quasiparticle called the {\it isoelectronium}. Under the conditions that: 1) the isoelectronium is stable; 2) the effective size of the isoelectronium is ignorable, in comparison to internuclear distance; and 3) the two nuclei are at rest, the Santilli-Shillady model of the $H_2$ molecule is reduced to a restricted {\it three-body} system essentially similar to a neutral version of the $H_2^+$ ion, which, as such, admits exact solution. Our main result is that the restricted three-body Santilli-Shillady approach to $H_2$ is capable to fit the experimental binding energy, at the isoelectronium mass parameter $M=0.308381m_e$, although under optimal internuclear distance about 19.6% bigger than the conventional experimental value, indicating an approximate character of the three-body model.
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"abstract": "In this paper, we study the exact solution of the restricted isochemical\nmodel of $H_2$ molecule with fixed nuclei recently proposed by Santilli and\nShillady in which the two electrons are assumed to be bonded/correlated into a\nquasiparticle called the {\\it isoelectronium}. Under the conditions that: 1)\nthe isoelectronium is stable; 2) the effective size of the isoelectronium is\nignorable, in comparison to internuclear distance; and 3) the two nuclei are at\nrest, the Santilli-Shillady model of the $H_2$ molecule is reduced to a\nrestricted {\\it three-body} system essentially similar to a neutral version of\nthe $H_2^+$ ion, which, as such, admits exact solution. Our main result is that\nthe restricted three-body Santilli-Shillady approach to $H_2$ is capable to fit\nthe experimental binding energy, at the isoelectronium mass parameter\n$M=0.308381m_e$, although under optimal internuclear distance about 19.6%\nbigger than the conventional experimental value, indicating an approximate\ncharacter of the three-body model.",
"arxiv_id": "physics/0001056",
"authors": [
"A. K. Aringazin",
"M. G. Kucherenko"
],
"categories": [
"physics.gen-ph"
],
"journal_ref": "Hadronic J. 23 (2000) 1-56",
"title": "Exact solution of the restricted three-body Santilli-Shillady model of $H_2$ molecule",
"url": "https://arxiv.org/abs/physics/0001056"
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