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Subtraction method and stability condition in extended random-phase approximation theories. / Tselyaev, V. I.
в: Physical Review C - Nuclear Physics, Том 88, № 5, 2013, стр. 054301_1-9.Результаты исследований: Научные публикации в периодических изданиях › статья
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TY - JOUR
T1 - Subtraction method and stability condition in extended random-phase approximation theories
AU - Tselyaev, V. I.
PY - 2013
Y1 - 2013
N2 - The extended random-phase approximation (RPA) theories are analyzed from the point of view of the problem of the stability of their solutions. Three kinds of such theories are considered: the second RPA and two versions of the quasiparticle-phonon coupling model within the time-blocking approximation: the model including 1p1h⊗phonon configurations and the two-phonon model. It is shown that stability is ensured by making use of the subtraction method proposed previously to solve the double counting problem in these theories. This enables one to generalize the famous Thouless theorem proved in the case of the RPA. These results are illustrated by an example of the schematic model.
AB - The extended random-phase approximation (RPA) theories are analyzed from the point of view of the problem of the stability of their solutions. Three kinds of such theories are considered: the second RPA and two versions of the quasiparticle-phonon coupling model within the time-blocking approximation: the model including 1p1h⊗phonon configurations and the two-phonon model. It is shown that stability is ensured by making use of the subtraction method proposed previously to solve the double counting problem in these theories. This enables one to generalize the famous Thouless theorem proved in the case of the RPA. These results are illustrated by an example of the schematic model.
U2 - 10.1103/PhysRevC.88.054301
DO - 10.1103/PhysRevC.88.054301
M3 - Article
VL - 88
SP - 054301_1-9
JO - Physical Review C - Nuclear Physics
JF - Physical Review C - Nuclear Physics
SN - 0556-2813
IS - 5
ER -
ID: 5660062