Excited States of Elementary Particle and the Quantization of Elementary Particles

If this is the case, the two VO-particles which decay according to (I)' and (2)' turn out to be the same kind of particles. We assume that the latter possibility is right and further we propose a possible model in which a VO-particle is nothing but an excited state of a 1zucleon, Tllis excited state, we assume, is a consequence if a new kind if quantization oj a n.ucleon which is surrounded by the 7r-mes01Z field. Then the VO-particle decays (1)' and (2)' can be explained as the quantum jump from the excited state of a nucleon to the ground state of the nucleon. The energy liberated at this quantum jump is emitted in the form of quanta of the 7:"-meson field which induces the excited state of a nucleon. According to the above model, one of the decay products of a J/o-particle must be always a proton or a neutron, therefore we must assume that two 7r-mesons are emitted at the decay of a VO-particle if the decay scheme (2) is true. In order to understand this decay mode into three particles, we assume a certain selection rule which forbits the transition from an excited to a ground state of a nucleon accompanied by a single quantum emission, but allows the transition accompanied by two 7r-meson emISSIOn. In the case of pseudoscalar 7rmeson field, it seems possible to obtain such a selection rule by assigning suitable properties to the excited state of a nucleon, namely a VO-particle. If there are charged V-particles in nature, they are perhaps also excited states of nucleons. It is the most important purpose of this short note to remark that we cart also apply the above considerations to electrons and neutrinos. For this purpose, we return to the original Yukawa theory, according to which the 7r-meson field which interacts with protons and neutrons also interacts with electrons and neutrinos. Therefore if it is permitted for the 7r-meson field to produce certain excited states of nucleons, it is natural to assume that there are also some excited states of an electron or neutrino. We decidedly assume that p.-meson is nothing but an excited state of an electron or a neutrino. This assumption is supported by the very fact that in the fl-decay process there appears one electron and two neutrinos~). From the above assumed excited state hypothesis, it is easy to understand the fl-decay process. If we consider a fl-meson as an excited state of an electron, the p-decay can be explained as the quantum transition from the excited to the ground state of an electron accompanied by the neutrino pair