Abstract
We propose the use of a pure spin-3/2 propagator in the 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 resonance contribution to the elastic 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.
- Received 14 July 2017
- Revised 3 October 2017
DOI:https://doi.org/10.1103/PhysRevC.96.052201
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