Hadron-Nucleon Scattering Lengths from QCD Sum Rules

Abstract

Hadron–nucleon scattering lengths are studied by the QCD sum rule. First we explain our motivation and present the formulation for calculating hadron-nucleon scattering lengths by the QCD sum rule, where the relation between the hadron mass in the nuclear medium and the hadron–nucleon scattering length is also clarified. Secondly we discuss two applications, the pion–nucleon scattering lengths and the nucleon-nucleon scattering lengths. In the case of the pion–nucleon scattering length we show that the results of the QCD sum rule are consistent with the low-energy theorem. In the case of the nucleon–nucleon scattering lengths we show that the results of the QCD sum rule are in qualitative agreement with experiment.