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Systematic 1/M Expansion for Spin 3/2 Particles

3 Pith papers cite this work. Polarity classification is still indexing.

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abstract

Starting from a relativistic formulation of the pion-nucleon-delta system, the most general structure of 1/M corrections for a heavy baryon chiral lagrangian including spin 3/2 resonances is given. The heavy components of relativistic nucleons and delta fields are integrated out and their contributions to the next-to-leaing order lagrangians are constructed explicitly. The effective theory obtained admits a systematic expansion in terms of soft momenta, the pion mass $m_\pi$ and the delta-nucleon mass difference $\Delta$. As an application, we consider neutral pion photoproduction at threshold to third order in this small scale expansion.

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hep-ph 3

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2026 3

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representative citing papers

Neutrinoless double-beta decay of the $\Delta^-$ resonance

hep-ph · 2026-04-14 · unverdicted · novelty 5.0

Chiral EFT derivation of the Δ⁻ → p e⁻ e⁻ amplitude including long-range neutrino loops, short-range counterterms, pion-mass dependence for collinear electrons, and a long-range prediction in the degenerate Δ-nucleon mass limit.

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