Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weinberg eigenvalues for chiral nucleon-nucleon interactions   We perform a comprehensive Weinberg eigenvalue analysis of a representative
set of modern nucleon-nucleon interactions derived within chiral effective
field theory. Our set contains local, semilocal, and nonlocal potentials,
developed by Gezerlis, Tews et al. (2013); Epelbaum, Krebs, and Mei{\ss}ner
(2015); and Entem, Machleidt, and Nosyk (2017) as well as Carlsson, Ekstr\"om
et al. (2016), respectively. The attractive eigenvalues show a very similar
behavior for all investigated interactions, whereas the magnitudes of the
repulsive eigenvalues sensitively depend on the details of the regularization
scheme of the short- and long-range parts of the interactions. We demonstrate
that a direct comparison of numerical cutoff values of different interactions
is in general misleading due to the different analytic form of regulators; for
example, a cutoff value of $R=0.8$ fm for the semilocal interactions
corresponds to about $R=1.2$ fm for the local interactions. Our detailed
comparison of Weinberg eigenvalues provides various insights into
idiosyncrasies of chiral potentials for different orders and partial waves.
This shows that Weinberg eigenvalues could be used as a helpful monitoring
scheme when constructing new interactions.

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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: hep-th