The Rarita--Schwinger field: renormalization and phenomenology

Details The Rarita--Schwinger field: renormalization and phenomenology The Rarita--Schwinger field: renormalization and phenomenology

2007-02-12

arxiv.org/abs/hep-ph/0702116v2

Int.J.Mod.Phys.A22:4495-4518,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 3 figures, revtex4; misprints, min editorial changes

Scientific paper

10.1142/S0217751X07036713

We discuss renormalization of propagator of interacting Rarita--Schwinger field. Spin-3/2 contribution after renormalization takes usual resonance form. For non-leading spin-1/2 terms we found procedure, which guarantees absence of poles in energy plane. The obtained renormalized propagator has one free parameter and is a straight generalization of the famous free propagator of Moldauer and Case. Application of this propagator for production of $\Delta^{++}(1232)$ in $\pi^{+}\particle{p}\to \pi^{+}\particle{p}$ leads to good description of total cross-section and to reasonable agreement with results of partial wave analysis.

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