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 | |
| 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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The theory of many-body resonance states based on the orthogonal projection technique. / Kukulin, V. I.; Klimov, Victor I; Pomerantsev, V. N.
In: Journal of Physics G: Nuclear Physics, Vol. 8, No. 12, 010, 01.12.1982, p. 1671-1687.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - The theory of many-body resonance states based on the orthogonal projection technique
AU - Kukulin, V. I.
AU - Klimov, Victor I
AU - Pomerantsev, V. N.
PY - 1982/12/1
Y1 - 1982/12/1
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=36149044898&partnerID=8YFLogxK
U2 - 10.1088/0305-4616/8/12/010
DO - 10.1088/0305-4616/8/12/010
M3 - Article
AN - SCOPUS:36149044898
VL - 8
SP - 1671
EP - 1687
JO - Journal of Physics G: Nuclear and Particle Physics
JF - Journal of Physics G: Nuclear and Particle Physics
SN - 0954-3899
IS - 12
M1 - 010
ER -