Covariant response theory beyond RPA and its application

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Covariant response theory beyond RPA and its application. / Litvinova, E.; Ring, P.; Tselyaev, V.

In: Physics of Atomic Nuclei, Vol. 70, No. 8, 08.2007, p. 1380-1385.

Research output: Contribution to journal › Article › peer-review

Author

Litvinova, E. ; Ring, P. ; Tselyaev, V. / Covariant response theory beyond RPA and its application. In: Physics of Atomic Nuclei. 2007 ; Vol. 70, No. 8. pp. 1380-1385.

BibTeX

@article{7a6a11103b734fe68e8b88303a7b6be6,

title = "Covariant response theory beyond RPA and its application",

abstract = "The covariant particle-vibration coupling model within the time-blocking approximation is employed to supplement the relativistic random phase approximation (RRPA) with coupling to collective vibrations. The Bethe-Salpeter equation in the particle-hole channel with an energy-dependent residual particle-hole (ph) interaction is formulated and solved in the shell-model Dirac basis as well as in the momentum space. The same set of coupling constants generates the Dirac-Hartree single-particle spectrum, the static part of the residual ph interaction, and the particle-phonon coupling amplitudes. This approach is applied to a quantitative description of damping phenomenon in even-even spherical nuclei with closed shells 208Pb and 132Sn. Since phonon coupling enriches the RRPA spectrum with a multitude of ph ⊗ phonon states, a noticeable fragmentation of giant monopole and dipole resonances is obtained in the examined nuclei. The results are compared with experimental data and results of the nonrelativistic approach.",

keywords = "MEAN-FIELD-THEORY, HARTREE-BOGOLIUBOV DESCRIPTION, GIANT-RESONANCES, FINITE NUCLEI, MAGIC NUCLEI",

author = "E. Litvinova and P. Ring and V. Tselyaev",

note = "Funding Information: This work has been supported in part by the Bun-desministerium f{\"u}r Bildung und Forschung under project 06 MT 193. E.L. acknowledges the support from the Alexander von Humboldt-Stiftung and the assistance and hospitality provided by the Physics Department of TU-M{\"u}nchen. V.T. acknowledges financial support from the Deutsche Forschungsge-meinschaft under grant no. 436 RUS 113/806/0-1 and from the Russian Foundation for Basic Research under grant no. 05-02-04005-DFG_a. Copyright: Copyright 2007 Elsevier B.V., All rights reserved.",

year = "2007",

month = aug,

doi = "10.1134/S1063778807080108",

language = "English",

volume = "70",

pages = "1380--1385",

journal = "Physics of Atomic Nuclei",

issn = "1063-7788",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "8",

}

RIS

TY - JOUR

T1 - Covariant response theory beyond RPA and its application

AU - Litvinova, E.

AU - Ring, P.

AU - Tselyaev, V.

N1 - Funding Information: This work has been supported in part by the Bun-desministerium für Bildung und Forschung under project 06 MT 193. E.L. acknowledges the support from the Alexander von Humboldt-Stiftung and the assistance and hospitality provided by the Physics Department of TU-München. V.T. acknowledges financial support from the Deutsche Forschungsge-meinschaft under grant no. 436 RUS 113/806/0-1 and from the Russian Foundation for Basic Research under grant no. 05-02-04005-DFG_a. Copyright: Copyright 2007 Elsevier B.V., All rights reserved.

PY - 2007/8

Y1 - 2007/8

N2 - The covariant particle-vibration coupling model within the time-blocking approximation is employed to supplement the relativistic random phase approximation (RRPA) with coupling to collective vibrations. The Bethe-Salpeter equation in the particle-hole channel with an energy-dependent residual particle-hole (ph) interaction is formulated and solved in the shell-model Dirac basis as well as in the momentum space. The same set of coupling constants generates the Dirac-Hartree single-particle spectrum, the static part of the residual ph interaction, and the particle-phonon coupling amplitudes. This approach is applied to a quantitative description of damping phenomenon in even-even spherical nuclei with closed shells 208Pb and 132Sn. Since phonon coupling enriches the RRPA spectrum with a multitude of ph ⊗ phonon states, a noticeable fragmentation of giant monopole and dipole resonances is obtained in the examined nuclei. The results are compared with experimental data and results of the nonrelativistic approach.

AB - The covariant particle-vibration coupling model within the time-blocking approximation is employed to supplement the relativistic random phase approximation (RRPA) with coupling to collective vibrations. The Bethe-Salpeter equation in the particle-hole channel with an energy-dependent residual particle-hole (ph) interaction is formulated and solved in the shell-model Dirac basis as well as in the momentum space. The same set of coupling constants generates the Dirac-Hartree single-particle spectrum, the static part of the residual ph interaction, and the particle-phonon coupling amplitudes. This approach is applied to a quantitative description of damping phenomenon in even-even spherical nuclei with closed shells 208Pb and 132Sn. Since phonon coupling enriches the RRPA spectrum with a multitude of ph ⊗ phonon states, a noticeable fragmentation of giant monopole and dipole resonances is obtained in the examined nuclei. The results are compared with experimental data and results of the nonrelativistic approach.

KW - MEAN-FIELD-THEORY

KW - HARTREE-BOGOLIUBOV DESCRIPTION

KW - GIANT-RESONANCES

KW - FINITE NUCLEI

KW - MAGIC NUCLEI

UR - http://www.scopus.com/inward/record.url?scp=34548462583&partnerID=8YFLogxK

U2 - 10.1134/S1063778807080108

DO - 10.1134/S1063778807080108

M3 - Article

VL - 70

SP - 1380

EP - 1385

JO - Physics of Atomic Nuclei

JF - Physics of Atomic Nuclei

SN - 1063-7788

IS - 8

ER -

ID: 74234695