### Abstract

A frequently employed approximation in momentum integrals in few-body problems is to assume that the integrand is sharply peaked in regions where the bound particles have low internal momentum. If justified, this allows one to remove portions of the integrand and evaluate them at their peak-value momentum points. In the extreme case, the only remaining term in the integral is the momentum wave function, whose integral corresponds to a position-space wave function evaluated at zero interparticle separation. The validity of this approximation is examined for systems of two and three strongly interacting particles.

Original language | English (US) |
---|---|

Pages (from-to) | 2113-2119 |

Number of pages | 7 |

Journal | Physical Review C |

Volume | 39 |

Issue number | 6 |

DOIs | |

State | Published - Jan 1 1989 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physical Review C*,

*39*(6), 2113-2119. https://doi.org/10.1103/PhysRevC.39.2113

**Tests of factorization in strong-interaction few-body problems.** / Cao, Z. J.; Keister, B. D.; Stumpf, H.

Research output: Contribution to journal › Article

*Physical Review C*, vol. 39, no. 6, pp. 2113-2119. https://doi.org/10.1103/PhysRevC.39.2113

}

TY - JOUR

T1 - Tests of factorization in strong-interaction few-body problems

AU - Cao, Z. J.

AU - Keister, B. D.

AU - Stumpf, H.

PY - 1989/1/1

Y1 - 1989/1/1

N2 - A frequently employed approximation in momentum integrals in few-body problems is to assume that the integrand is sharply peaked in regions where the bound particles have low internal momentum. If justified, this allows one to remove portions of the integrand and evaluate them at their peak-value momentum points. In the extreme case, the only remaining term in the integral is the momentum wave function, whose integral corresponds to a position-space wave function evaluated at zero interparticle separation. The validity of this approximation is examined for systems of two and three strongly interacting particles.

AB - A frequently employed approximation in momentum integrals in few-body problems is to assume that the integrand is sharply peaked in regions where the bound particles have low internal momentum. If justified, this allows one to remove portions of the integrand and evaluate them at their peak-value momentum points. In the extreme case, the only remaining term in the integral is the momentum wave function, whose integral corresponds to a position-space wave function evaluated at zero interparticle separation. The validity of this approximation is examined for systems of two and three strongly interacting particles.

UR - http://www.scopus.com/inward/record.url?scp=35949012483&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35949012483&partnerID=8YFLogxK

U2 - 10.1103/PhysRevC.39.2113

DO - 10.1103/PhysRevC.39.2113

M3 - Article

AN - SCOPUS:35949012483

VL - 39

SP - 2113

EP - 2119

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 6

ER -