Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Toward the Theory of Electron and Positron States in Self-Compressed
  Dielectric Clusters   Analytical expressions for the binding energy of electrons and positrons in
dielectric clusters, analysed in this work, neglect the elastic effects.
Therefore, we present the density-functional theory for neutral liquid clusters
that experience the spontaneous deformation. Using the 1/R -expansion, $R$
being the cluster radius, the exact analytical expressions for the size
corrections to the chemical potential, surface tension, and atomic density are
derived from the condition of mechanical equilibrium. The problem of
calculation of these corrections is reduced to the calculation of the
quantities for a liquid with a flat surface. The size compression and tension
of density occur in the 1/R and $1/R^{2}$ orders respectively. The sizes of
charged rigid and elastic critical clusters, for which the electron or positron
binding energy is close to zero, are calculated for Xe$_{N}^{-}$, Kr$_{N}^{-}$,
Ar$_{N}^{-}$, Ar$_{N}^{+}$, Ne$_{N}^{+}$, He$_{N}^{+}$. The calculations show
significant contribution of self- compression to the binding energy of excess
electron - in contrast to positron.

15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math