### Abstract

A different formulation of the non-relativistic quantum theory of scattering is presented. The interactions which govern the scattering are described by the modifications of the incident wave function on a spherical surface surrounding the region in which the interaction occurs. The model is shown to give unequivocal solutions to the scattering problem when either Dirichlet or Neumann boundary values are prescribed for the modified wave function. The model is applied to a problem in nuclear physics and is also used to discuss the uniqueness of single-particle, phenomenological potentials of arbitrary symmetry when the potential is fitted to the complete angular distribution at a single energy. The modifications of this model which are necessary for the inclusion of particles with spin and charged particles are also discussed.

Language | English |
---|---|

Pages | 401-430 |

Number of pages | 30 |

Journal | Nuclear Physics |

Volume | 85 |

Issue number | 2 |

Publication status | Published - Sep 1966 |

Externally published | Yes |

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### Cite this

*Nuclear Physics*,

*85*(2), 401-430.

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*Nuclear Physics*, vol. 85, no. 2, pp. 401-430.

**The interaction-region model of quantal scattering processes.** / Corbett, John V.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - The interaction-region model of quantal scattering processes

AU - Corbett, John V.

PY - 1966/9

Y1 - 1966/9

N2 - A different formulation of the non-relativistic quantum theory of scattering is presented. The interactions which govern the scattering are described by the modifications of the incident wave function on a spherical surface surrounding the region in which the interaction occurs. The model is shown to give unequivocal solutions to the scattering problem when either Dirichlet or Neumann boundary values are prescribed for the modified wave function. The model is applied to a problem in nuclear physics and is also used to discuss the uniqueness of single-particle, phenomenological potentials of arbitrary symmetry when the potential is fitted to the complete angular distribution at a single energy. The modifications of this model which are necessary for the inclusion of particles with spin and charged particles are also discussed.

AB - A different formulation of the non-relativistic quantum theory of scattering is presented. The interactions which govern the scattering are described by the modifications of the incident wave function on a spherical surface surrounding the region in which the interaction occurs. The model is shown to give unequivocal solutions to the scattering problem when either Dirichlet or Neumann boundary values are prescribed for the modified wave function. The model is applied to a problem in nuclear physics and is also used to discuss the uniqueness of single-particle, phenomenological potentials of arbitrary symmetry when the potential is fitted to the complete angular distribution at a single energy. The modifications of this model which are necessary for the inclusion of particles with spin and charged particles are also discussed.

UR - http://www.scopus.com/inward/record.url?scp=49949135040&partnerID=8YFLogxK

M3 - Article

VL - 85

SP - 401

EP - 430

JO - Nuclear Physics

T2 - Nuclear Physics

JF - Nuclear Physics

SN - 0029-5582

IS - 2

ER -