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Unified Formulation of Effective Nonlinear Pion-Nucleon Lagrangians

Dec 25, 1967
9 pages
Published in:
  • Phys.Rev. 164 (1967) 1752-1761
DOI:
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Abstract: (APS)
It is shown that a nonlinear Lagrangian model with chiral SU(2)⊗SU(2) symmetry for the π−N system proposed earlier, when complemented with an exact partially conserved axial-vector current term, provides a systematic and unified treatment of various phenomenological Lagrangians that are found in the recent literature. A detailed comparison is made for three special cases, showing agreement with current algebra and experimental data for π−N and π−π scattering lengths.