Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Many-body interactions and nuclear structure   This article presents several challenges to nuclear many-body theory and our
understanding of the stability of nuclear matte r. In order to achieve this, we
present five different cases, starting with an idealized toy model. These cases
expose problems that need to be understood in order to match recent advances in
nuclear theory with current experimental programs in low-energy nuclear
physics. In particular, we focus on our current understanding, or lack thereof,
of many-body forces, and how they evolve as functions of the number of
particles . We provide examples of discrepancies between theory and experiment
and outline some selected perspectives for future research directions.

11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th