2021 Volume 13 Issue 1 Pages 18-22
To explain that left-right symmetric and asymmetric size (mass) ratios observed in biological particle-pairs of molecules and cells in nature and child atoms of nuclear fission, the stochastic differential equation model of three-dimensional momentum conservation law and weakest stability principle (quasi-stability theory) is proposed by Naitoh (J. of Physics, 2012). The three-dimensional momentum conservation law considers vector quantity (i.e. velocity), while conventional theories started from Bohr have been based on energy conservation law. Naitoh qualitatively showed a possibility of bi-modal distribution of mass and size based on one-dimensional Taylor expansion. Furthermore, we have shown that the size and mass ratios of those particles are predicted more accurately by using multi-dimensional Taylor expansion in the previous report (Kobayashi and Naitoh, JASSE, 2019). Moreover, classification of dynamical terms in the stochastic model into three groups has revealed that the input energy level of neutron provided for nuclear fission varies the frequency distribution plotted against child atom mass generated. In this report, we clarify the mass-frequency distribution of atoms generated in cold fusion phenomenon, by using the stochastic differential equation model. After the multi-dimensional Taylor expansion is applied to the stochastic differential equation model of three-dimensional momentum conservation law, the stability theory qualitatively reveals the mass frequency distribution of child atoms generated in the cold fusion experiment (A. B. Karabut, JCMNS, 2012).
