Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transposition of a local-density-dependent pion-nucleus potential to an
  effective density-linear potential - generalized Seki-Masutani relations   We have shown that a local-density-dependent term, $F[\rho(r)] \rho(r)$, of
the pion-nucleus potential with a nuclear density, $\rho(r)$, can be transposed
to a conventional density-linear term, $F(\rho_e) \rho(r)$, with an effective
nuclear density, $\rho_e$, which is close to $\sim 0.6 \rho(0)$ for most
$\pi^-$ bound states. The presently found relations, {\it generalized
Seki-Masutani relations}, for the density-quadratic term, the medium-modified
isovector term and the double-scattering isoscalar term of the s-wave
pion-nucleus interaction assure that the constant parameters in the
conventional pion-nucleus potential are interpreted as being effective ones in
the light of density-dependent effects.

2
The categories of this paper are: math
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph