Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse scattering J-matrix approach to nucleon-nucleus scattering and
  the shell model   The $J$-matrix inverse scattering approach can be used as an alternative to a
conventional $R$-matrix in analyzing scattering phase shifts and extracting
resonance energies and widths from experimental data. A great advantage of the
$J$-matrix is that it provides eigenstates directly related to the ones
obtained in the shell model in a given model space and with a given value of
the oscillator spacing $\hbar\Omega$. This relationship is of a particular
interest in the cases when a many-body system does not have a resonant state or
the resonance is broad and its energy can differ significantly from the shell
model eigenstate. We discuss the $J$-matrix inverse scattering technique,
extend it for the case of charged colliding particles and apply it to the
analysis of $n\alpha$ and $p\alpha$ scattering. The results are compared with
the No-core Shell Model calculations of $^5$He and $^5$Li.

17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an