We address the issue of consistent interactions for off-shell fermion fields of arbitrary spin. These interactions play a crucial role in the quantum hadrodynamical description of high-spin baryon resonances in hadronic processes. The Rarita-Schwinger (R-S) description of high-spin fermion fields involves unphysical degrees of freedom associated with their lower-spin content. These enter the interaction if not eliminated outright. The invariance condition of the interaction under the unconstrained R-S gauge removes the lower-spin content of the fermion propagator and leads to a consistent description of the interaction. We develop the most general consistent interaction structure for high-spin fermions. We find that the power of the momentum dependence of a consistent interaction rises with the spin of the fermion field. This leads to unphysical structures in the energy dependence of the computed tree-level cross sections when the short-distance physics is cut off with standard hadronic form factors. A spin-dependent hadronic form factor is proposed that suppresses the unphysical artifacts.
Vrancx, T, De Cruz, L, Ryckebusch, J & Vancraeyveld, P 2011, 'Consistent interactions for high-spin fermion fields', Physical Review C, vol. 84, no. 4, 045201, pp. 16. <http://dx.doi.org/10.1103/PhysRevC.84.045201>
Vrancx, T., De Cruz, L., Ryckebusch, J., & Vancraeyveld, P. (2011). Consistent interactions for high-spin fermion fields. Physical Review C, 84(4), 16. Article 045201. http://dx.doi.org/10.1103/PhysRevC.84.045201
@article{6649bdad52944bc490a7977ab18be61c,
title = "Consistent interactions for high-spin fermion fields",
abstract = "We address the issue of consistent interactions for off-shell fermion fields of arbitrary spin. These interactions play a crucial role in the quantum hadrodynamical description of high-spin baryon resonances in hadronic processes. The Rarita-Schwinger (R-S) description of high-spin fermion fields involves unphysical degrees of freedom associated with their lower-spin content. These enter the interaction if not eliminated outright. The invariance condition of the interaction under the unconstrained R-S gauge removes the lower-spin content of the fermion propagator and leads to a consistent description of the interaction. We develop the most general consistent interaction structure for high-spin fermions. We find that the power of the momentum dependence of a consistent interaction rises with the spin of the fermion field. This leads to unphysical structures in the energy dependence of the computed tree-level cross sections when the short-distance physics is cut off with standard hadronic form factors. A spin-dependent hadronic form factor is proposed that suppresses the unphysical artifacts.",
keywords = "hadron physics, Rarita-Schwinger fields, consistent interactions, hadron form factors",
author = "Tom Vrancx and {De Cruz}, Lesley and Jan Ryckebusch and Pieter Vancraeyveld",
year = "2011",
language = "English",
volume = "84",
pages = "16",
journal = "Physical Review C",
issn = "0556-2813",
publisher = "American Physical Society",
number = "4",
}