Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: QCD Sum Rules for Nucleon-Nucleon Interactions   The QCD sum rules for spin-dependent nucleon-nucleon interactions are
formulated and their physical implications are studied. The basic object of the
study is the correlation function of the nucleon interpolating field, where the
matrix element is taken with respect to the one-nucleon state. The dispersion
integral of the correlation function around the nucleon threshold is
investigated in detail. It turns out that the integral can be identified as a
measure of the nucleon-nucleon interaction strength, which is proportional to
the scattering length in the small scattering length limit and to one half of
the effective range in the large scattering length limit. New operators must be
taken into account in the OPE of the correlation function. There behavior
operators do not vanish when the matrix element is taken with respect to the
spin-nonaveraged one-nucleon state. The Wilson coefficients of such operators
are calculated. The sum rules obtained in this manner relate the spin-dependent
nucleon-nucleon interaction strengths with the spin-dependent nucleon matrix
elements of the quark-gluon composite operators. The sum rules imply that the
interaction is stronger in the spin-triplet channel than in the spin-singlet
channel, but that the spin-dependence of the nucleon-nucleon interactions is
rather small. In the spin-singlet channel the calculated strength is in
qualitative agreement with the empirical strength, which is estimated by the
empirical low energy scattering observables.

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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: funct-an