dorsal/arxiv
View SchemaPropagation of a massive spin-3/2 particle
| Authors | Helmut Haberzettl |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9812043 |
| URL | https://arxiv.org/abs/nucl-th/9812043 |
Abstract
The propagation of an off-shell spin-3/2 baryon is investigated in a consistent framework using projections corresponding to one irreducible spin-3/2 and two irreducible spin-1/2 representations arising from the usual spinor-vector representation of the spin-3/2 fields. Starting from the most general Lagrangian invariant under point transformations containing first-order derivatives only and imposing the constraint $\gamma_\mu \psi^\mu=0$, we eliminate one of the spin-1/2 contributions. The resulting propagator provides a clean separation of spin-3/2 proper and the one remaining spin-1/2 contribution. In addition to a conventional pole term describing pure spin-3/2, which is identical to the propagator proposed by Williams, this procedure yields a second pole term describing spin-1/2 only, with a pole at twice the mass parameter of the Lagrangian. Its effect on physical observables may manifest itself in a manner which is indistinguishable from a particle in its own right. The second pole term cancels the $1/p^2$ singularity of the Williams propagator and the propagator derived here is well behaved for vanishing $p^2$.
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"abstract": "The propagation of an off-shell spin-3/2 baryon is investigated in a\nconsistent framework using projections corresponding to one irreducible\nspin-3/2 and two irreducible spin-1/2 representations arising from the usual\nspinor-vector representation of the spin-3/2 fields. Starting from the most\ngeneral Lagrangian invariant under point transformations containing first-order\nderivatives only and imposing the constraint $\\gamma_\\mu \\psi^\\mu=0$, we\neliminate one of the spin-1/2 contributions. The resulting propagator provides\na clean separation of spin-3/2 proper and the one remaining spin-1/2\ncontribution. In addition to a conventional pole term describing pure spin-3/2,\nwhich is identical to the propagator proposed by Williams, this procedure\nyields a second pole term describing spin-1/2 only, with a pole at twice the\nmass parameter of the Lagrangian. Its effect on physical observables may\nmanifest itself in a manner which is indistinguishable from a particle in its\nown right. The second pole term cancels the $1/p^2$ singularity of the Williams\npropagator and the propagator derived here is well behaved for vanishing $p^2$.",
"arxiv_id": "nucl-th/9812043",
"authors": [
"Helmut Haberzettl"
],
"categories": [
"nucl-th",
"hep-ph"
],
"title": "Propagation of a massive spin-3/2 particle",
"url": "https://arxiv.org/abs/nucl-th/9812043"
},
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