Heavy Baryon Spin 3/2 Theory and Radiative Decays of the Decuplet

Abstract

We study the radiative decays of the decuplet $(3/2\to 1/2\gamma )$ using Heavy Baryon Chiral Perturbation Theory (HBChPT). We emphasize the problems faced by the interacting spin 3/2 field theory. We argue that, to lowest order in the $1/m$ expansion, HBChPT provides a framework where R-invariance and the appropiated constraints for the interacting spin 3/2 fields are consistently incorporated. We perform a gauge invariant calculation of the decay amplitudes, to lowest order in $1/m$ and to order $w^2/{\Lambda }_{\chi }^2$ in the chiral expansion and report analytical results for the one-loop contributions to the two form factors involved in the $3/2\to 1/2\gamma$ transitions. Parameters independent predictions for the SU(3) forbidden decays are presented.

arXiv comment27 pages

References in corpus (4)

• Systematic 1/M Expansion for Spin 3/2 Particles
• Strong and Electromagnetic Decays of the Baryon Decuplet
• E2/M1 Mixing Ratio of $\Delta \to N\gamma$ and Hyperon Resonance Radiative Decay
• Spin $3/2$ Interacting Fields and Heavy Baryon Chiral Perturbation Theory

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