1997/12/22 by M. Kirchbach · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-ph #nucl-th
paper · pdf · doi:10.1142/s0217732397003307
published as Mod.Phys.Lett. A12 (1997) 3177-3188 · 12 pages, LaTex, submitted to Mod. Phys. Lett. A
arxiv created 1997/12/22 · openalex publication_date 1997/12/28 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The pole positions of the various baryon resonances are known to reveal well-pronounced clustering, so-called Höhler clusters. For nonstrange baryons, the Höhler clusters are shown to be identical to Lorentz multiplets of the type j,j⊗[1/2,0 ⊕ 0,1/2] with j being a half-integer. For the Λ hyperons below 1,800 MeV, these clusters are shown to be of the type 1,0 ⊕ 0,1 ⊗ [1/2,0 ⊕ 0,1/2] while above 1,800 MeV they are parity duplicated J,0 ⊕ 0,J higher-spin (Weinberg–Ahluwalia) states. Therefore, for Λ hyperons the restoration of chiral symmetry takes place above 1,800 MeV. Finally, it is demonstrated that the description of spin-3/2 particles in terms of a second rank antisymmetric Lorentz tensor with Dirac spinor components does not contain any off-shell parameters and avoids the main difficulties of the Rarita–Schwinger description based on a four-vector with Dirac spinor components.