Exact solution of the restricted three-body Santilli-Shillady model of $H_2$ molecule

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dc.creatorAringazin, A. K.
dc.creatorKucherenko, M. G.
dc.date2000-01-24
dc.date.accessioned2026-07-07T05:43:44Z
dc.date.available2026-07-07T05:43:44Z
dc.descriptionIn 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.
dc.descriptionLaTeX, 56 pages, 6 Tables, 9 eps figures
dc.identifierhttps://arxiv.org/abs/physics/0001056
dc.identifierhttp://arxiv.org/abs/physics/0001056
dc.identifierHadronic J. 23 (2000) 1-56
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/83368
dc.subjectGeneral Physics
dc.titleExact solution of the restricted three-body Santilli-Shillady model of $H_2$ molecule
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