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THE BOUNDARY CONDITION MODEL APPROACH TO BORROMEAN NUCLEI

CORNEL HATEGAN

Institute of Atomic Physics, Romanian Academy, Bucharest, Romania

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REMUS AMILCAR IONESCU

Institute of Atomic Physics, Romanian Academy, Bucharest, Romania

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, and

HERMANN H. WOLTER

Department für Physik, Universität München, Germany

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https://doi.org/10.1142/S021773230702381XCited by:0 (Source: Crossref)

Abstract

Three-body systems are studied in the framework of the Boundary Condition Model, in which the relevant interactions are expressed in terms of the scattering lengths of the two-body subsystems. We demonstrate explicitly the role of resonant states in the two-body subsystems and of multiple scattering between the constituents in producing a weakly bound three-body system, i.e. a Borromean nucleus. We obtain qualitative relations between the spatial extension of the three-body bound state, its energy, and the scattering lengths in the subsystems. The results are compared with experimental data for the Borromean nucleus ¹¹Li and ¹⁴Be.

Keywords:

PACS: 24.10.-i, 25.90.+k, 21.90.+f

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