Summary
A method to introduce the interactions of extended particles is studied. The method is a relativistic extension of the pseudopotential method of the nonrelativistic many-body problem with the hard core interaction. A difficulty which occurs in the treatment of the relativistic extended particles may be avoided by the use of suitable boundary conditions. A boundary condition which corresponds to the nonrelativistic rigid sphere leads us to the following interaction:\(\frac{{\pi a}}{m}\left[ {\left( {\bar \psi \gamma _\mu \psi } \right)^2 + \left( {\bar \psi \gamma _5 \gamma _\mu \psi } \right)^2 } \right]\)
Riassunto
Si studia un metodo per introduire le interazioni delle particelle estese. Questo metodo è una estensione relativistica del metodo pseudo Potenziale del problema a piu corpi non relativistico con interazione del « core » rigido Una difficoltá, che si incontra nel trattare le particelle relativistiche estese, può essere evitata facendo uso di opportune condizioni ai limiti. Una condizione ai limiti che corrisponde alla sfera rigida non relativistica porta alla seguente interazione:\(\frac{{\pi a}}{m}\left[ {\left( {\bar \psi \gamma _\mu \psi } \right)^2 + \left( {\bar \psi \gamma _5 \gamma _\mu \psi } \right)^2 } \right]\)
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On leave from Department of Physics, College of Science and Engineering, Nihon University.
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Gotô, T. On the interaction of elementary particles in view of the extended particle model - I. Nuovo Cim 24, 156–169 (1962). https://doi.org/10.1007/BF02785768
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DOI: https://doi.org/10.1007/BF02785768