## Theory of photopion production from nucleons |

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### Contents

The S Wave Portion of the Matrix | 20 |

The P Wave Portion of the Matrix | 27 |

The Direct PhotoEjection Matrix Element | 32 |

1 other sections not shown

### Common terms and phrases

angular distribution annihilation operators assumed assumptions behavior bound functions Calculated curve Chapter core coupling constant cutoff function denotes detailed differential cross direct ejection discussion effect of orthogonality eigenstates electromagnetic field energy dependence excitation term expansion gonal ground state vector hamiltonian hermitian conjugate high energy hyperons incoming photon initial and final initial nucleon spins integral interaction phase shift isotopic spin low energy magnetic dipole magnetic quantum meson neglected neutral pions neutron nucleon ground nucleon state vector numbers of pions obtain orthogonality functions orthogonality scattering outgoing pion parameters parity perturbation theory photon energy PHOTOPION pion cloud pion current pion field pion nucleon scattering pion rest mass plane wave positive pion quantum numbers result Sachs scattering phase shifts sharp cutoff Siegert theorem calculation single pion spins and photon structure summing over final thesis total angular momentum transition amplitude unbound field unbound pion wave cross wave function wave photo wave photoproduction wave pions