Short distance repulsion in 3 nucleon forces from perturbative QCD

Details Short distance repulsion in 3 nucleon forces from perturbative QCD Short distance repulsion in 3 nucleon forces from perturbative QCD

2011-12-09

arxiv.org/abs/1112.2053v1

Physics

High Energy Physics

High Energy Physics - Lattice

19 pages. arXiv admin note: substantial text overlap with arXiv:1002.0977

Scientific paper

We investigate the short distance behavior of 3 nucleon forces (3NF) defined through Nambu--Bethe--Salpeter wave functions, using the operator product expansion(OPE) and calculating anomalous dimensions of 9--quark operators in perturbative QCD. As is the case of NN forces previously considered, we show that 3NF have repulsions at short distance at 1--loop, which becomes exact in the short distance limit thanks to the asymptotic freedom of QCD. Moreover these behaviors are universal in the sense that they do not depend on the energy of the NBS wave function for 3 nucleons.

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