Pure spin-3/2 propagator for use in particle and nuclear physics

J. Kristiano, S. Clymton, Terry Mart

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


We propose the use of a pure spin-3/2 propagator in the (3/2,0)⊕(0,3/2) representation in particle and nuclear physics. To formulate the propagator in a covariant form we use the antisymmetric tensor spinor representation and we consider the Δ resonance contribution to the elastic πN scattering as an example. We find that the use of a conventional gauge-invariant interaction Lagrangian leads to a problem: the obtained scattering amplitude does not exhibit the resonance behavior. To overcome this problem we modify the interaction by adding a momentum dependence. As in the case of the Rarita-Schwinger formalism, we find that a perfect resonance description could be obtained in the pure spin-3/2 formulation only if hadronic form factors were considered in the interactions.

Original languageEnglish
Article number052201
JournalPhysical Review C
Issue number5
Publication statusPublished - 7 Nov 2017


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