Pion Nucleon Vertex Function and the One Pion Exchange Potential

Sep, 1975
13 pages
Published in:
  • Nucl.Phys.B 104 (1976) 98-110
  • Published: 1976
Report number:
  • IPNO/TH 75-30

Citations per year

1976198019841988199002468
Abstract: (Elsevier)
We calculate the πNN vertex function from field theory and dispersion relations. It contains no adjustable parameters, the only input being S- and P- waves for ππ → N N . Our vertex function, having an effective cut-off mass of 5μ and an rms radius of 0.52 fm, compares well with previous experimental determinations. We find negligible effects from the 3π dressing of the π propagator. The corrected OPEP is significantly different from the uncorrected OPEP for r < 1.5 fm. The inclusion of the corrected OPEP in meson exchange potentials will improve agreement with phenomenology.
  • VERTEX FUNCTION: PI NUCLEON NUCLEON
  • EXCHANGE: ONE-PION
  • EXCHANGE: POTENTIAL
  • FIELD THEORY
  • DISPERSION RELATION
  • PARTIAL WAVE
  • PI PI: INTERACTION
  • INTERACTION: PI PI
  • NUCLEON: FINAL STATE
  • FINAL STATE: NUCLEON