Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the convergence of nuclear effective field theory with perturbative
  pions   The classic paper by Fleming, Mehen and Stewart cast doubts on the
convergence of spin-triplet nucleon-nucleon partial wave scattering amplitudes
when following the proposal of Kaplan, Savage and Wise to construct nuclear
effective field theory around the unitary fermion limit with perturbative pion
exchange. FMS identified the subclass of iterated one-pion exchange potential
graphs as the cause of this poor convergence, which they showed persisted in
the chiral limit. Theoretical tools are developed here to compute these Feynman
graphs analytically to high order in all angular momentum channels
simultaneously, examining the amplitudes computed to seven loops in the $L=J$
channels, and three loops in the coupled $L=J\pm1$ channels. One finds that
there is nothing pathological about the perturbative expansion of a $1/r^3$
potential in general, and that the expansion converges satisfactorily in all
partial waves except those with the lowest angular momentum, particularly the
${}^3P_0$ and the coupled ${}^3S_1-{}^3D_1$ channels. The results corroborate
work by Birse, which suggests possible avenues to explore for improving the
range of validity of the EFT expansion.

19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th