Short distance repulsion in 3 nucleon forces from perturbative QCD

Abstract

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.

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

References in corpus (2)

• Nuclear Force from Lattice QCD
• Bethe--Salpeter wave functions in integrable models

Cited by in corpus (5)

• Nucleon-nucleon interactions via Lattice QCD: Methodology --HAL QCD approach to extract hadronic interactions in lattice QCD--
• Emergence of the $\rho$ resonance from the HAL QCD potential in lattice QCD
• Toward an understanding of short distance repulsions among baryons in QCD -- NBS wave functions and operator product expansion --
• Short Distance Repulsion Among Baryons
• Few-baryon interactions from lattice QCD