Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reanalysis of nuclear spin matrix elements for dark matter
  spin-dependent scattering   We show how to include in the existing calculations for nuclei other than
$^{129}$Xe, $^{131}$Xe, the corrections to the isovector coupling arising in
chiral effective field theory recently found in Ref. \cite{Menendez1}. The
dominant, momentum independent, 2-body currents effect can be taken into
account by formally redefining the static spin matrix elements $<
\mathbf{S}_{p,n} >$. By further using the normalized form factor at $q\neq 0$
built with the 1-body level structure functions, we show that the WIMP-nucleus
cross section and the upper limits on the WIMP-nucleon cross sections coincide
with the ones derived using the exact functions at the 2-body level. We
explicitly show it in the case of XENON100 limits on the WIMP-neutron cross
section and we recalculate the limits on the WIMP-proton spin dependent cross
section set by COUPP. We also give practical formulas to obtain $<
\mathbf{S}_{p,n} >$ given the structure functions in the various
formalisms/notations existing in literature. We argue that the standard
treatment of the spin-dependent cross section in terms of three independent
isospin functions, $S_{00}(q)$, $S_{11}(q)$, $S_{01}(q)$, is redundant in the
sense that the interference function $S_{01}(q)$ is the double product
$|S_{01}(q)|=2\sqrt{S_{00}(q)}\sqrt{S_{11}(q)}$ even when including the new
effective field theory corrections.

21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an