1996/06/30 by Michael C. Birse, Boris Krippa · 1 citation
Physics and Astronomy · #Baryon #Coupling (piping) #Coupling constant #High-Energy Particle Collisions Research #Lambda #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #QCD sum rules #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Sigma #hep-ph
paper · pdf · doi:10.1103/physrevc.54.3240
published as Phys.Rev.C54:3240-3246,1996 · 20 pages (RevTeX), 1 figure (attached). Revised version with corrected form for Y2 piece of hyperon correlators; numerical results differ from previous version
arxiv created 1996/08/22 · openalex publication_date 1996/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We evaluate the \ensuremathπNN, \ensuremathπ\ensuremathΣ\ensuremathΣ, and \ensuremathπ\ensuremathΣ\ensuremathΛ coupling constants using QCD sum rules based on pion-to-vacuum matrix elements of correlators of two interpolating baryon fields. The parts of the correlators with Dirac structure k/\ensuremathγ5 are used, keeping all terms up to dimension 5 in the OPE and including continuum contributions on the phenomenological side. The ratios of these sum rules to baryon mass sum rules yield stable results with values for the couplings of g_\mathrm\ensuremathπNN=12\ifmmode±\else\textpm\fi5, g_\mathrm\ensuremathπ\mathrm\ensuremathΣ\mathrm\ensuremathΣ=7\ifmmode±\else\textpm\fi4, and g_\mathrm\ensuremathπ\mathrm\ensuremathΣ\mathrm\ensuremathΛ=6\ifmmode±\else\textpm\fi3. The sources of uncertainty are discussed. \textcopyright 1996 The American Physical Society.