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

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Abstract

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.
Original languageAmerican English
Pages (from-to)765-769
Number of pages688
JournalPhysical Review C
DOIs
StatePublished - 1 Jan 1984

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title = "Mass and range dependence in the binding energy of a three-body system",
abstract = "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. {\circledC} 1984 The American Physical Society.",
author = "Humberto Garcilazo",
year = "1984",
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doi = "10.1103/PhysRevC.30.765",
language = "American English",
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journal = "Physical Review C",
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Mass and range dependence in the binding energy of a three-body system. / Garcilazo, Humberto.

In: Physical Review C, 01.01.1984, p. 765-769.

Research output: Contribution to journalArticle

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