## Multiple-scattering Theory for Pion-nucleus Scattering Near the 3,3 Resonance |

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allows APPROX assumed calculations center-of-mass motion Chap chapter Clebsch–Gordan coefficients closure approximation convergence properties coordinates differential cross section discussed effective range formula elastic cross section energy of 153 evaluation expression F C E fºr G tº gives Glauber Glauber approximation harmonic oscillator integral isospin Kisslinger Lippmann-Schwinger equation matrix meson method MeV/c multiple-scattering series muon negative pions Nucl nuclear ground nucleon nucleus numerical results on-shell approximation p-wave particle Pauli matrices phase shifts Phys pion absorption pion energies pion kinetic energy pion momentum pion scattering pion-nucleon interaction pion-nucleon t-matrix element pion-nucleus elastic scattering pion-nucleus scattering pionic presented resonance scattering amplitude scattering angle scattering expansion separable form separable potential shell model ſº spherical harmonics summed coherent approximation summed result theory Tinlot total elastic cross Watson Watson's multiple-scattering expansion wave function written