Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparative effect of an addition of a surface term to the Woods-Saxon
  potential on the thermodynamics of a nucleon   In this study, we reveal the difference between Woods-Saxon (WS) and
Generalized Symmetric Woods-Saxon (GSWS) potentials in order to describe the
physical properties of a nucleon, by means of solving Schr\"odinger eq. for the
two potentials. The additional term squeezes the WS potential well, which leads
an upward shift in the spectrum, resulting in a more realistic picture. The
resulting GSWS potential does not merely accommodate extra quasi bound states,
but also has modified bound state spectrum. As an application, we apply the
formalism to a real problem, an $\alpha$ particle confined in Bohrium-$270$
nucleus. The thermodynamic functions Helmholtz energy, entropy, internal
energy, specific heat of the system are calculated and compared for both wells.
The internal energy and the specific heat capacity increase as a result of
upward shift in the spectrum. The shift of the Helmholtz free energy is a
direct consequence of the shift of the spectrum. The entropy decreases because
of a decrement in the number of available states.

9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg