Consistent interactions for off-shell fermion fields of arbitrary spin are constructed from the gauge-invariance requirement of the interaction Lagrangians. These interactions play a crucial role in the quantum hadrodynamical description of high-spin baryon resonances in hadronic processes. 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 novel, spin-dependent hadronic form factor is proposed that suppresses the unphysical artifacts.
Vrancx, T, De Cruz, L, Ryckebusch, J & Vancraeyveld, P 2012, Consistent interactions for high-spin fermion fields. in V Burkert, M Jones, M Pennington & D Richards (eds), AIP Conference Proceedings. vol. 1432, AIP Conference Proceedings, American Institute of Physics (AIP), pp. 361-364, The 8th international workshop on the physics of excited nucleons : Nstar 2011, Newport News, United States, 17/05/11. <http://dx.doi.org/10.1063/1.3701249>
Vrancx, T., De Cruz, L., Ryckebusch, J., & Vancraeyveld, P. (2012). Consistent interactions for high-spin fermion fields. In V. Burkert, M. Jones, M. Pennington, & D. Richards (Eds.), AIP Conference Proceedings (Vol. 1432, pp. 361-364). (AIP Conference Proceedings). American Institute of Physics (AIP). http://dx.doi.org/10.1063/1.3701249
@inproceedings{51419186807f44bca1270beb8576d05d,
title = "Consistent interactions for high-spin fermion fields",
abstract = "Consistent interactions for off-shell fermion fields of arbitrary spin are constructed from the gauge-invariance requirement of the interaction Lagrangians. These interactions play a crucial role in the quantum hadrodynamical description of high-spin baryon resonances in hadronic processes. 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 novel, spin-dependent hadronic form factor is proposed that suppresses the unphysical artifacts.",
author = "Tom Vrancx and {De Cruz}, Lesley and Jan Ryckebusch and Pieter Vancraeyveld",
year = "2012",
language = "English",
isbn = "9780735410183",
volume = "1432",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics (AIP)",
pages = "361--364",
editor = "Volker Burkert and Mark Jones and Michael Pennington and David Richards",
booktitle = "AIP Conference Proceedings",
note = "The 8th international workshop on the physics of excited nucleons : Nstar 2011 : Nstar 2011 ; Conference date: 17-05-2011 Through 20-05-2011",
}