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Solvable model for pion-pion S and P waves derived from noncovariant perturbation theory

Dec, 1980
7 pages
Published in:
  • Phys.Rev.C 22 (1980) 2536-2543
DOI:
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Abstract: (APS)
Motivated by Lagrangian field theory, we construct an effective Hamilton operator for P- and S-wave pion-pion interactions, which can be handled easily by noncovariant perturbation methods. The result is a factorable T-matrix equation with unambiguous off-shell behavior, which includes the effects of intermediate states with ε(1300), S*(980), and ρ(770) mesons as well as with KK¯ and NN¯ pairs and describes the influence of inelastic pair effects on elastic scattering. The numerical calculations are in good agreement with the experimental S00 and P11 amplitudes up to a scattering energy of 2.5 GeV; a range of fundamental importance for nuclear physics. NUCLEAR REACTIONS Pion-pion scattering; theory, S and P waves, field theoretical model, noncovariant perturbation theory.