Spin-5/2 fields in hadron physics

Abstract

We show that the Lagrangian of the free spin-5/2 field in the spinor-tensor representation with the auxiliary spinor field depends on the three arbitrary parameters. The first two parameters are associated with the spin-3/2 and -1/2 sector of the theory while the latter one is related to the auxiliary degrees of freedom. We derive a corresponding propagator of the system which represents (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 non-diagonal ones correspond to the ${\psi }_{\mu \nu }-\xi$ mixing. The resulting spin-5/2 propagator contains non-pole contributions coming from the spin-3/2 and -1/2 sector of the spinor-tensor representation. A general form of the interaction vertex involving spin-5/2 field is discussed on the example of the $\pi N{N}_{5/2}^{\ast }$ coupling. It is demonstrated that lower spin degrees of freedom can be removed from the theory by using higher order derivative coupling.

References in corpus (3)

• Spin-5/2 resonance contributions to the pion-induced reactions for energies $\sqrt{s}⩽$2.0 GeV
• On-shell consistency of the Rarita-Schwinger field formulation
• On a gauge-invariant interaction of spin-$\fth$ resonances

Cited by in corpus (12)

• Coupled-channel dynamics in the reactions piN --> piN, etaN, KLambda, KSigma
• The reaction pi+ p --> K+ Sigma+ in a unitary coupled-channels model
• Consistent interactions for high-spin fermion fields
• Pion- and photo-induced transition amplitudes to $\Lambda K$, $\Sigma K$, and $N\eta$
• Hyperfine structure of P-states in muonic deuterium
• ${\Lambda }_c$ Semileptonic Decays in a Quark Model
• Higher-spin particles at high-energy colliders
• Aspects of the ETH model of the pion-nucleon interaction
• Gauge- and point-invariant vertices of nucleon-to-resonance interactions
• Symmetries of higher-spin fields and the electromagnetic N-N(1680) form factors
• Revisiting the quasinormal modes of the Schwarzschild black hole: Numerical analysis
• Weaving the covariant three-point vertices efficiently