## Abstract

The scattering amplitude for NN → NΔ is decomposed into sixteen independent spin-space operators O_{i}, where the corresponding coefficients A_{i} only depend on scattering angle, incoming energy, and the Δ -mass. In addition to the commonly used vector spin-transition matrix, it is necessary to also employ a tensor spin-transition matrix. The O_{i} can be chosen in two ways, either to facilitate discussion of underlying dynamical mechanisms or to simplify the antisymmetrization with respect to the initial nucleons. Relations between the A_{i}(θ) and the (LSJ) partial-wave amplitudes are given. We evaluate the A_{i} using partial-wave amplitudes calculated elsewhere in a unitary three-body model with one-pion-exchange driving terms. Many amplitudes are of competing importance after antisymmetrization, and they are strongly dependent upon incident energy and Δ invariant mass.

Original language | English (US) |
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Pages (from-to) | 381-404 |

Number of pages | 24 |

Journal | Nuclear Physics, Section A |

Volume | 381 |

Issue number | 3 |

DOIs | |

State | Published - Jun 21 1982 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics