โ Scribed by D.L. Pursey
No coin nor oath required. For personal study only.
Several authors have discussed the possibility that nuclear beta decay, the decay of the #-meson, and perhaps also the capture of #-mesons by nuclei, are all consequences of an interaction between fermion fields which is in some sense universal 1) 2) 8) 4). So far, no criterion other than simplicity has been proposed for fixing the exact form of the interaction 3). In this paper, it is shown how symmetry properties with respect to the interchange of fields can arise automatically from the mode of formation of the interaction, and serve to limit the number of interactions possible.
The final step of obtaining the possible interactions from the symmetry properties depends on whether two apparently unrelated spinor fields (such as the electron and neutron fields) commute or anticommute. Two general methods of finding commutation properties of fields have recently been given 5) 6), but neither treatment gives unambiguous results for the commutation properties of lepton and nucleon fields without the introduction of further physical .asgumptions. Here, it will be assumed that any two spinor fields anticommute. The alternative assumption, that unrelated fields commute, leads to an,interaction which is inconsistent with experiment unless additional selection rules destroy its symmetry properties.
It is always possible to express the complex and hermitian conjugates of a particle field in terms of the field of the corresponding antiparticle; it will be supposed that this is always done. It follows that to ensure charge conservation the interaction must contain the same number of negatively and positively charged fields. It will be assumed that the interaction is a linear combination of the usual 1017
๐ SIMILAR VOLUMES
## Abstract The convergence properties of perturbation theories for molecular interaction energies are tested by performing highโaccuracy highโorder numerical calculations for a groundโstate hydrogen atom interacting with a proton. It is shown that a strong symmetry forcing used in the Eisenschitzโ