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

J. Kristiano, S. Clymton, and T. Mart
Phys. Rev. C 96, 052201(R) – Published 7 November 2017

Abstract

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.

  • Figure
  • Figure
  • Received 14 July 2017
  • Revised 3 October 2017

DOI:https://doi.org/10.1103/PhysRevC.96.052201

©2017 American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsNuclear Physics

Authors & Affiliations

J. Kristiano, S. Clymton, and T. Mart*

  • Departemen Fisika, FMIPA, Universitas Indonesia, Depok 16424, Indonesia

  • *terry.mart@sci.ui.ac.id

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Issue

Vol. 96, Iss. 5 — November 2017

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