Abstract.
The classical and quantum model of high spin particles is analyzed within the manifestly covariant framework. The model is obtained by supplementing the standard Lagrange function for relativistic point particle by additional terms governing the dynamics of internal degrees of freedom. They are described by \(\mathcal{C}\) (3, 1) Clifford algebra (Majorana) spinors. The covariant quantization leads to the spectrum of the particles with the masses depending on their spins. The particles (and anti-particles) appear to be orphaned as their potential anti-particle partners are of different mass.
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Daszkiewicz, M., Hasiewicz, Z. & Walczyk, C.J. High Spin Particles with Spin-Mass Coupling. AACA 18, 29–41 (2008). https://doi.org/10.1007/s00006-007-0060-9
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DOI: https://doi.org/10.1007/s00006-007-0060-9