Journal article

Publication year: 2010

Journal: Physical Review C

Volume number: 82

Issue number: 1

ISSN: 0556-2813

eISSN: 1089-490X

Open access status: Green

DOI Link: https://doi.org/10.1103/PhysRevC.82.015203

Publisher: American Physical Society

Abstract: 
We show that the Lagrangian of a free spin-5/2 field in the spinor-tensor representation with an auxiliary spinor field depends on three arbitrary parameters. The first two parameters are associated with the spin-3/2 and spin-1/2 sector of the theory while the last is related to the auxiliary degrees of freedom. We derive a corresponding propagator of the system which represents a (2 x 2) matrix in the (psi(mu nu),xi) space. The diagonal terms stand for the propagation of the spin-5/2 and auxiliary fields whereas the nondiagonal ones correspond to the psi(mu nu)-xi mixing. The resulting spin-5/2 propagator contains nonpole contributions coming from the spin-3/2 and spin-1/2 sector of the spinor-tensor representation. A general form of the interaction vertex involving the spin-5/2 field is discussed by the example of the pi NN*(5/2) coupling. It is demonstrated that lower spin degrees of freedom can be removed from the theory by use of higher-order derivative coupling.

Harvard Citation style: Shklyar, V., Lenske, H. and Mosel, U. (2010) Spin-5/2 fields in hadron physics, Physical Review C, 82(1), Article 015203. https://doi.org/10.1103/PhysRevC.82.015203

APA Citation style: Shklyar, V., Lenske, H., & Mosel, U. (2010). Spin-5/2 fields in hadron physics. Physical Review C. 82(1), Article 015203. https://doi.org/10.1103/PhysRevC.82.015203