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.
Quantization of an interacting spin-3/2 field and the Delta isobar
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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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hep-ph 1years
2026 1verdicts
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A possible $\Sigma^*$ or $\Lambda^*$ resonance with $J^P=3/2^-$ in $K^-p\to K\Xi$ scattering
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.