Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Testing Low Energy Theorems in Nucleon-Nucleon Scattering   Low energy theorems have been derived for the coefficients of the effective
range expansion in s-wave nucleon-nucleon scattering valid to leading
nontrivial order in an expansion based $Q$ counting, a scheme in which both
$m_\pi$ and $1/a$ (where $a$ is the scattering length) are treated as small
mass scales. Previous tests of these theorems based on coefficients extracted
from scattering data indicate a pattern of gross violations which suggested
serious problems for the perturbative treatment of pions implicit in $Q$
counting. We discuss the possibility that uncertainties associated with
extracting the coefficients from the scattering data make such tests invalid.
Here we show that errors in the s-wave phase shift extractions are sufficiently
small to test direct test predictions from $Q$ counting at next to leading
order. In particular we show that there exist low energy theorems for the sum
of all terms in the effective range expansion beyond the first two which allow
for precise tests. These low energy theorems fail badly which suggests that
pionic aspects of $Q$ counting are not under control.

30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol