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          Institute: MPI für Physik     Collection: MPI für Physik     Display Documents



ID: 543795.0, MPI für Physik / MPI für Physik
Application of the operator product expansion to the short distance behavior of nuclear potentials
Authors:Aoki, S.; Balog, J.; Weisz, P.
Audience:Not Specified
Intended Educational Use:No
Abstract / Description:We investigate the short distance behavior of nucleon-nucleon (NN) potentials defined through Bethe-Salpeter wave functions, by perturbatively calculating anomalous dimensions of 6-quark operators in QCD. Thanks to the asymptotic freedom of QCD, 1-loop computations give certain exact results for the potentials in the zero distance limit. In particular the functional form of the S-state central NN potential at short distance $r$ is predicted to be a little weaker than $r^{-2}$. On the other hand, due to the intriguing character of the anomalous dimension spectrum, perturbative considerations alone can not determine whether this potential is repulsive or attractive at short distances. A crude estimation suggests that the force at short distance is repulsive, as found numerically in lattice QCD. A similar behavior is found for the tensor potential.
Classification / Thesaurus:Field Theory
Comment of the Author/Creator:40 pages, no figures
Document Type:Article
Communicated by:N.N.
Affiliations:MPI für Physik
Identifiers:LOCALID:MPP-2010-14
URL:http://www.slac.stanford.edu/spires/find/hep/www?r...
URL:http://arXiv.org/abs/arxiv:1002.0977
URL:http://publications.mppmu.mpg.de/?action=search&mp...
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