Geodesic
Theory of bound states of fermions in many-body systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 3, pp. 448-460

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The problem of two fermions (of species $a$ and $b$) in a many-body system that can contain particles of the same species is considered. The special case of a resonance medium is discussed. The spectrum and damping of the two-particle excitations of the system are determined from the spectral density of the two-particle Green's function. The Bethe–Salpeter equation is used to derive an effective wave equation and an effective two-particle Hamiltonian whose real part determines the spectrum and whose imaginary part determines the damping of the two-particle states. The effective Hamiltonian takes into account the influence of the surrounding medium on the considered pair of particles, this influence being manifested in the form of a dynamic self-energy of the particles, in a modified dynamic interaction, and in exchange effects with fermions of the surrounding medium at finite temperature and density. 
@article{TMF_1983_55_3_a9,
     author = {K. Kilimann and D. Kremp and G. R\"opke},
     title = {Theory of bound states of fermions in many-body systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {448--460},
     publisher = {mathdoc},
     volume = {55},
     number = {3},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_3_a9/}
}
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K. Kilimann; D. Kremp; G. Röpke. Theory of bound states of fermions in many-body systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 3, pp. 448-460. http://geodesic.mathdoc.fr/item/TMF_1983_55_3_a9/