On the Difficulty in the Non-Relativistic Treatment of the Composite Model of Elementary Particles

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Abstract
In order to see the validity of the non-relativistic treatment used in the current works on the composite model of elementary particles, the system of a Dirac particle and an anti-particle bound in the 1S0 state through a potential is analyzed. It is shown that the potential strength should tend to infinity when the total energy of the system approaches to zero if their masses are equal or the total energy of the system approaches to the difference between their masses if they are not equal. The type of the interaction is found to be restricted to (V−A) and [(S+P)/2−T] by the conditions for getting physically acceptable solutions. Discussion is given also for some aspect of the composite system of three urbaryons.