On variational solution of the four-body Santilli-Shillady model of $H_2$ molecule
| dc.creator | Aringazin, A. K. | |
| dc.date | 2000-01-24 | |
| dc.date.accessioned | 2026-07-07T05:43:44Z | |
| dc.date.available | 2026-07-07T05:43:44Z | |
| dc.description | In this paper, we apply Ritz variational approach to a new isochemical model of $H_2$ molecule suggested by Santilli and Shillady. We studied Gaussian, $V_g$, and exponential, $V_e$, screened Coloumb potential {\it approximations}, as well as the original Hulten potential, $V_h$, case. Both the Coloumb and exchange integrals have been calculated only for $V_e$ owing to Gegenbauer expansion while for $V_g$ and $V_h$ cases we achieved analytical results only for the Coloumb integrals. We conclude that the $V_e$-based model is capable to fit experimental data on $H_2$ molecule in confirmation of the results of numerical HFR approach by Santilli and Shillady. Also, we achieved the energy-based estimation of the weight of the isoelectronium phase which is appeared to be of the order of 1%...6%, for the case of $V_e$. However, we note that this is {\it not} the result corresponding to the original Santilli-Shillady model, which is based on the Hulten potential $V_h$. An interesting result is that in order to prevent divergency of the Coloumb integral for $V_h$ the correlation length parameter $r_c$ should run discrete set of values. We used this condition in our $V_e$-based model. | |
| dc.description | LaTeX, 57 pages, 3 Tables, 16 eps Figures | |
| dc.identifier | https://arxiv.org/abs/physics/0001057 | |
| dc.identifier | http://arxiv.org/abs/physics/0001057 | |
| dc.identifier | Hadronic J. 23 (2000) 59 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/83369 | |
| dc.subject | General Physics | |
| dc.title | On variational solution of the four-body Santilli-Shillady model of $H_2$ molecule | |
| dc.type | text |