A STUDY OF NUCLEON FORCES WITH REPULSIVE CORES: II. LOW ENERGY PROPERTIES, PARTICULARLY CHARGE INDEPENDENCE

Abstract

The low energy properties of two-nucleon potentials with infinite repulsive cores have been studied by numerical calculations using an electronic digital computer. The consequences of assuming charge independence for the nuclear force in the 1S state have been examined by performing computations with several potential shapes for both the neutron–proton and proton–proton systems. It was found that this assumption severely restricts the possible potential shape. Charge independence occurs with the Yukawa potential for zero core radius. Potentials that are more singular at small distances than the Yukawa require larger core radii; less singular potentials are not charge independent.