### Abstract

Original language | American English |
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Pages (from-to) | 765-769 |

Number of pages | 688 |

Journal | Physical Review C |

DOIs | |

State | Published - 1 Jan 1984 |

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**Mass and range dependence in the binding energy of a three-body system.** / Garcilazo, Humberto.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Mass and range dependence in the binding energy of a three-body system

AU - Garcilazo, Humberto

PY - 1984/1/1

Y1 - 1984/1/1

N2 - We have studied the bound-state solutions of a system of two particles of mass M which do not interact among themselves but which interact attractively with a third particle of mass 1\4 as a function of the ratio M1\4. In the limit M1\4'0, the solution of the system is well known since it corresponds to the problem of two independent particles in a well. We point out that in the limit M1\4' the solution is also very simple, and it corresponds to having the two particles of mass M fixed at the same point in space. We have found that the three-body binding energy tends to be proportional to the square of the range of the two-body interaction in momentum space, and that the sensitivity of the binding energy with respect to off-shell variations of the two-body amplitude increases when M1\4 increases. © 1984 The American Physical Society.

AB - We have studied the bound-state solutions of a system of two particles of mass M which do not interact among themselves but which interact attractively with a third particle of mass 1\4 as a function of the ratio M1\4. In the limit M1\4'0, the solution of the system is well known since it corresponds to the problem of two independent particles in a well. We point out that in the limit M1\4' the solution is also very simple, and it corresponds to having the two particles of mass M fixed at the same point in space. We have found that the three-body binding energy tends to be proportional to the square of the range of the two-body interaction in momentum space, and that the sensitivity of the binding energy with respect to off-shell variations of the two-body amplitude increases when M1\4 increases. © 1984 The American Physical Society.

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U2 - 10.1103/PhysRevC.30.765

DO - 10.1103/PhysRevC.30.765

M3 - Article

SP - 765

EP - 769

JO - Physical Review C

JF - Physical Review C

SN - 0556-2813

ER -