Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fermions embedded in a scalar-vector kink-like smooth potential   The behaviour of massive fermions is analyzed with scalar and vector
potentials. A continuous chiral-conjugation transformation decouples the
equation for the upper component of the Dirac spinor provided the vector
coupling does not exceed the scalar coupling. It is shown that a
Sturm-Liouville perspective is convenient for studying scattering as well as
bound states. One possible isolated solution (excluded from the Sturm-Liouville
problem) corresponding to a bound state might also come into sight. For
potentials with kink-like profiles, beyond the intrinsically relativistic
isolated bound-state solution corresponding to the zero-mode solution of the
massive Jackiw-Rebbi model in the case of no vector coupling, a finite set of
bound-state solutions might appear as poles of the transmission amplitude in a
strong coupling regime. It is also shown that the possible isolated bound
solution disappears asymptotically as the magnitude of the scalar and vector
coupling becomes the same. Furthermore, we show that due to the sizeable mass
gain from the scalar background the high localization of the fermion in an
extreme relativistic regime is conformable to comply with the Heisenberg
uncertainty principle.

4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci