Geodesic
Diagram representation of the single-phonon propagator in the quasiparticle-phonon model of nuclei
Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 2, pp. 260-270

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A diagram technique is proposed for the quasiparticle-phonon model of nuclei. It is shown that restriction to single-phonon and two-phonon components in the wave functions of the excited states of even-even deformed nuclei is equivalent to summation of a definite class of single-loop diagrams. The contribution of a two-loop diagram is calculated. Further, closure of the hierarchy of equations for the Green's functions yields explicit approximations that lead to summation of the considered class of graphs. 
@article{TMF_1982_53_2_a7,
     author = {G. Kyrchev},
     title = {Diagram representation of the single-phonon propagator in the quasiparticle-phonon model of nuclei},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {260--270},
     publisher = {mathdoc},
     volume = {53},
     number = {2},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_53_2_a7/}
}
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G. Kyrchev. Diagram representation of the single-phonon propagator in the quasiparticle-phonon model of nuclei. Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 2, pp. 260-270. http://geodesic.mathdoc.fr/item/TMF_1982_53_2_a7/