Application of the operator product expansion to the short distance behavior of nuclear potentials

Sinya Aoki, J. Balog, Peter Weisz

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number008
JournalJournal of High Energy Physics
Volume2010
Issue number5
DOIs
Publication statusPublished - 2010

Fingerprint

nuclear potential
operators
expansion
products
nucleon potential
quantum chromodynamics
wave functions
tensors
quarks

Keywords

  • Asymptotic freedom
  • Lattice QCD
  • QCD
  • Renormalization group

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Application of the operator product expansion to the short distance behavior of nuclear potentials. / Aoki, Sinya; Balog, J.; Weisz, Peter.

In: Journal of High Energy Physics, Vol. 2010, No. 5, 008, 2010.

Research output: Contribution to journalArticle

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