### Abstract

The multiple collision technique as applied to the monoenergetic time-dependent neutron transport equation for pulsed plan source emission in an infinite medium is used to obtain the flux due to a pulsed point source in the same medium. This result is then integrated to determine the flux due to the corresponding pulsed line source problem. The semi-infinite albedo problem is also shown to be solvable using the multiple collision approach. A generalization to include delayed neutrons follows directly from the multiple collision treatment, as does an equivalence between a monoenergetic time-dependent problem and a particular stationary slowing down problem in infinite geometry. Results are tabulated and comparisons are made to provide benchmark solutions to the fundamental time-dependent transport problems considered and thus bridge the gap between theory and practice.

Original language | English (US) |
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Pages (from-to) | 317-331 |

Number of pages | 15 |

Journal | Nuclear Science and Engineering |

Volume | 64 |

Issue number | 2 |

DOIs | |

State | Published - Jan 1 1977 |

Externally published | Yes |

### ASJC Scopus subject areas

- Nuclear Energy and Engineering

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## Cite this

*Nuclear Science and Engineering*,

*64*(2), 317-331. https://doi.org/10.13182/NSE77-A27373