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Consistent interactions for high-spin fermion fields

Tom Vrancx UGent, Lesley De Cruz UGent, Jan Ryckebusch UGent and Pieter Vancraeyveld UGent (2011) PHYSICAL REVIEW C. 84(4).
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.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
hadron physics, Rarita-Schwinger fields, consistent interactions, hadron form factors
journal title
PHYSICAL REVIEW C
Phys. Rev. C
volume
84
issue
4
article_number
045201
pages
16 pages
Web of Science type
Article
Web of Science id
000295540300004
JCR category
PHYSICS, NUCLEAR
JCR impact factor
3.308 (2011)
JCR rank
5/21 (2011)
JCR quartile
1 (2011)
ISSN
0556-2813
DOI
10.1103/PhysRevC.84.045201
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1942830
handle
http://hdl.handle.net/1854/LU-1942830
alternative location
http://arxiv.org/pdf/1105.2688v3
date created
2011-11-16 15:51:13
date last changed
2012-01-13 12:12:36
@article{1942830,
  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.},
  articleno    = {045201},
  author       = {Vrancx, Tom and De Cruz, Lesley and Ryckebusch, Jan and Vancraeyveld, Pieter},
  issn         = {0556-2813},
  journal      = {PHYSICAL REVIEW C},
  keyword      = {hadron physics,Rarita-Schwinger fields,consistent interactions,hadron form factors},
  language     = {eng},
  number       = {4},
  pages        = {16},
  title        = {Consistent interactions for high-spin fermion fields},
  url          = {http://dx.doi.org/10.1103/PhysRevC.84.045201},
  volume       = {84},
  year         = {2011},
}

Chicago
Vrancx, Tom, Lesley De Cruz, Jan Ryckebusch, and Pieter Vancraeyveld. 2011. “Consistent Interactions for High-spin Fermion Fields.” Physical Review C 84 (4).
APA
Vrancx, T., De Cruz, L., Ryckebusch, J., & Vancraeyveld, P. (2011). Consistent interactions for high-spin fermion fields. PHYSICAL REVIEW C, 84(4).
Vancouver
1.
Vrancx T, De Cruz L, Ryckebusch J, Vancraeyveld P. Consistent interactions for high-spin fermion fields. PHYSICAL REVIEW C. 2011;84(4).
MLA
Vrancx, Tom, Lesley De Cruz, Jan Ryckebusch, et al. “Consistent Interactions for High-spin Fermion Fields.” PHYSICAL REVIEW C 84.4 (2011): n. pag. Print.