Open AccessA DISCUSSION ON TWO-RANGE NUCLEAR FORCE
Author(s) -
CHOU KUANG-CHAO
Publication year - 1955
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.11.299
Subject(s) - physics , binding energy , yukawa potential , range (aeronautics) , nuclear force , tensor (intrinsic definition) , atomic physics , deuterium , helium 4 , helium , isotopes of helium , helium 3 , scattering , energy (signal processing) , nuclear physics , nucleon , quantum mechanics , materials science , mathematics , pure mathematics , composite material
The binding energies of nuclei H3. He3, He4, the low energy n-p scattering length and effective range are calculated by using the standard variational methods. A two-range central Yukawa potential is considered in the first two sections. The longer range corresponds to the π meson mass. The smaller range corresponds either to the heavier meson or to the higher order field interactions. No repulsive core appears, when the force parameters are chosen to fit the low energy scattering and deuteron data. The calculated binding energies of nuclei H3, He3 and He4 are too high. This result is in agreement with most of the previous calculations. Tensor force of the Schwinger mixed type is considered in the third and fourth sections. The force parameters are chosen to fit the low energy two body data. They are not uniquely determined and are given for a set of possible D-percentage values. The adding of the tensor force reduces considerably the calculated binding energies of nuclei H3, He3, He4. But still, the calculated values increase too fast with the mass number. It does not fit the triton and helium binding energies simultaneously. The possibility of adding many body forces is discussed at the end of the paper.