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Quantization of an interacting spin-3/2 field and the Delta isobar

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arxiv hep-ph/9802288 v2 pith:6VBVVVUT submitted 1998-02-10 hep-ph

V. Pascalutsa (U. of Utrecht) This is my paper · ORCID
classification hep-ph
keywords fieldcouplingsfreeinteractingquantizationrarita-schwingeranalyseanalysis
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Quantization of the free and interacting Rarita-Schwinger field is considered using the Hamiltonian path-integral formulation. The particular interaction we study in detail is the $\pi N \De$ coupling used in the phenomenology of the pion-nucleon and nucleon-nucleon systems. Within the Dirac constraint analysis, we show that there is an excess of degrees of freedom in the model, as well as the inconsistency related to the Johnson-Sudarshan-Velo-Zwanzinger problem. It is further suggested that couplings invariant under the gauge transformation of the Rarita-Schwinger field are generally free from these inconsistencies. We then construct and briefly analyse some lowest in derivatives gauge-invariant $\pi N \De$ couplings.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. First determination of vector and tensor couplings from polarized $\pi\Delta$ photoproduction

    hep-ph 2026-06 unverdicted novelty 7.0 of 10

    First extraction of complete NΔ vector and tensor couplings to ρ, b1, a2 from polarized πΔ photoproduction using a Regge model on GlueX data.

  2. A possible $\Sigma^*$ or $\Lambda^*$ resonance with $J^P=3/2^-$ in $K^-p\to K\Xi$ scattering

    hep-ph 2026-05 unverdicted novelty 5.0 of 10

    A J^P=3/2- hyperon resonance at ~1.9 GeV is added to an effective Lagrangian fit of K- p to K Xi cross sections, with the Lambda* assignment preferred over Sigma* by polarization predictions.

  3. $|\Delta I|=3/2$ non-leptonic hyperon decays in covariant baryon chiral perturbation theory

    hep-ph 2026-08 conditional novelty 4.0 of 10

    In covariant baryon chiral perturbation theory, decuplet-baryon contributions with the consistent coupling scheme, plus pion loops, most improve the fit to the |ΔI|=3/2 hyperon decay amplitudes.

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