dorsal/arxiv
View SchemaCovariant response theory beyond RPA and its application
| Authors | E. Litvinova, P. Ring, V. Tselyaev |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0609061 |
| URL | https://arxiv.org/abs/nucl-th/0609061 |
| DOI | 10.1134/S1063778807080108 |
| Journal | Phys.Atom.Nucl.70:1380-1385,2007 |
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 (p-h) interaction is formulated and solved in the shell-model Dirac basis as well as in the momentum space. The same set of the coupling constants generates the Dirac-Hartree single-particle spectrum, the static part of the residual p-h interaction and the particle-phonon coupling amplitudes. This approach is applied to quantitative description of damping phenomenon in even-even spherical nuclei with closed shells $^{208}$Pb and $^{132}$Sn. Since the phonon coupling enriches the RRPA spectrum with a multitude of ph$\otimes$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 with results of the non-relativistic approach.
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"abstract": "The covariant particle-vibration coupling model within the time blocking\napproximation is employed to supplement the Relativistic Random Phase\nApproximation (RRPA) with coupling to collective vibrations. The Bethe-Salpeter\nequation in the particle-hole channel with an energy dependent residual\nparticle-hole (p-h) interaction is formulated and solved in the shell-model\nDirac basis as well as in the momentum space. The same set of the coupling\nconstants generates the Dirac-Hartree single-particle spectrum, the static part\nof the residual p-h interaction and the particle-phonon coupling amplitudes.\nThis approach is applied to quantitative description of damping phenomenon in\neven-even spherical nuclei with closed shells $^{208}$Pb and $^{132}$Sn. Since\nthe phonon coupling enriches the RRPA spectrum with a multitude of\nph$\\otimes$phonon states a noticeable fragmentation of giant monopole and\ndipole resonances is obtained in the examined nuclei. The results are compared\nwith experimental data and with results of the non-relativistic approach.",
"arxiv_id": "nucl-th/0609061",
"authors": [
"E. Litvinova",
"P. Ring",
"V. Tselyaev"
],
"categories": [
"nucl-th"
],
"doi": "10.1134/S1063778807080108",
"journal_ref": "Phys.Atom.Nucl.70:1380-1385,2007",
"title": "Covariant response theory beyond RPA and its application",
"url": "https://arxiv.org/abs/nucl-th/0609061"
},
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