Short-distance repulsion in three-nucleon forces from perturbative quantum chromodynamics

概要

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We investigate the short-distance behavior of three-nucleon forces (3NF) defined through the Nambu–Bethe–Salpeter (NBS) wave functions using the operator product expansion and calculating anomalous dimensions of nine-quark operators in perturbative quantum chromodynamics (QCD). As in the case of NN forces considered previously, we show that 3NF have repulsions at short distance at one-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 three nucleons.