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Three-fermion relativistic bound states and cluster decomposition

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Il Nuovo Cimento A (1965-1970)

Summary

We write a system ofN coupled compatible Dirac equations. The energy eigenvalue equation is obtained by simply adding the free Hamiltonians and the mutual interaction potentials. We write also a system of three coupled compatible Dirac equations, which is more complicated but completely separable (we obtain three free equations if we «switch off» the three mutual interactions, but we obtain also two coupled and one free equations if we «switch off» two of the three mutual interactions only). As an example, we present a three-fermion symmetric relativistic harmonic-oscillator model.

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  1. J. Bijtebier

    Present address: Bevoegdverklaard navorser bij het Nationaal Fonds voor Wetenschappelijk, Onderzoek, (Belgium)

Authors and Affiliations

  1. Theoretische Natuurkunde, Fakulteit der Wetenschappen, Vrije Universiteit Brussel, Pleinlaan 2, B-1050, Brussel, Belgium

    J. Bijtebier

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Bijtebier, J. Three-fermion relativistic bound states and cluster decomposition. Nuov Cim A 103, 669–682 (1990). https://doi.org/10.1007/BF02789019

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