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

作者：Aoki Sinya^*; Balog Janos; Weisz Peter

来源：The Journal of High Energy Physics, 2010, 2010(5): 008.

DOI：10.1007/JHEP05(2010)008

• Asymptotic Freedom
• Renormalization Group
• QCD
• Lattice QCD

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.

• 出版日期2010-5