The theory of many-body resonance states based on the orthogonal projection technique

V. I. Kukulin; Victor I Klimov; V. N. Pomerantsev

doi:10.1088/0305-4616/8/12/010

The theory of many-body resonance states based on the orthogonal projection technique

V. I. Kukulin, Victor I Klimov, V. N. Pomerantsev

Los Alamos National Laboratory

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4 Citations (Scopus)

Abstract

The orthogonal projection technique proposed previously by the authors is used to construct an effective formalism aimed at calculations and study of two- and many-body resonances. The iterative formalism developed permits converging series for the energy, width and wavefunction of a many-body resonance to be constructed. Explicit expressions for the contributions of individual channels to the energy shift and decay width are given. In particular, for three-body resonance decay it is shown that the contributions from three- and two-body decays can be discriminated explicitly and do not interfere. Illustrative examples demonstrating the effectiveness of the formalism developed are presented.

Original language	English
Article number	010
Pages (from-to)	1671-1687
Number of pages	17
Journal	Journal of Physics G: Nuclear Physics
Volume	8
Issue number	12
DOIs	https://doi.org/10.1088/0305-4616/8/12/010
Publication status	Published - Dec 1 1982

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ASJC Scopus subject areas

Nuclear and High Energy Physics
Physics and Astronomy(all)

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Kukulin, V. I., Klimov, V. I., & Pomerantsev, V. N. (1982). The theory of many-body resonance states based on the orthogonal projection technique. Journal of Physics G: Nuclear Physics, 8(12), 1671-1687. [010]. https://doi.org/10.1088/0305-4616/8/12/010

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10.1088/0305-4616/8/12/010