Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On variational solution of the four-body Santilli-Shillady model of
  $H_2$ molecule   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.

21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess