How to Measure S-Wave Production in the Reaction pi + n --> pi + pi + Delta

Jan, 1977
17 pages
Published in:
  • Phys.Rev.D 17 (1978) 777
Report number:
  • PTB-76

Citations per year

1978198119841987198810
Abstract: (APS)
A method is proposed for performing a model-independent amplitude analysis of the reaction πN→ππΔ with the ππ system a superposition of S and P waves and where all moments of the joint-decay-angular distribution are used. A set of necessary positivity conditions for the moments are presented, and their relation to the amplitude analysis is discussed. Given data satisfying these conditions, the separation of S- and P-wave cross sections can be carried out in a model-independent way, although some discrete ambiguities may occur. In addition, improved upper and lower bounds on the S-wave cross section are derived which employ partial knowledge of the Δ decay moments.
  • PI NUCLEON: INTERACTION
  • INTERACTION: PI NUCLEON
  • PI: FINAL STATE
  • FINAL STATE: PI
  • NUCLEON: FINAL STATE
  • FINAL STATE: NUCLEON
  • PI+ P: INTERACTION
  • INTERACTION: PI+ P
  • PI+: FINAL STATE
  • FINAL STATE: PI+