dorsal/arxiv
View SchemaNuclear Scissors Mode with Pairing
| Authors | E. B. Balbutsev, L. A. Malov, P. Schuck, M. Urban, X. Vinyes |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0701039 |
| URL | https://arxiv.org/abs/nucl-th/0701039 |
| DOI | 10.1134/S1063778808060057 |
Abstract
The coupled dynamics of the scissors mode and the isovector giant quadrupole resonance are studied using a generalized Wigner function moments method taking into account pair correlations. Equations of motion for angular momentum, quadrupole moment and other relevant collective variables are derived on the basis of the time dependent Hartree-Fock-Bogoliubov equations. Analytical expressions for energy centroids and transitions probabilities are found for the harmonic oscillator model with the quadrupole-quadrupole residual interaction and monopole pairing force. Deformation dependences of energies and $B(M1)$ values are correctly reproduced. The inclusion of pair correlations leads to a drastic improvement in the description of qualitative and quantitative characteristics of the scissors mode.
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"date_created": "2026-03-02T18:00:11.205000Z",
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"abstract": "The coupled dynamics of the scissors mode and the isovector giant quadrupole\nresonance are studied using a generalized Wigner function moments method taking\ninto account pair correlations. Equations of motion for angular momentum,\nquadrupole moment and other relevant collective variables are derived on the\nbasis of the time dependent Hartree-Fock-Bogoliubov equations. Analytical\nexpressions for energy centroids and transitions probabilities are found for\nthe harmonic oscillator model with the quadrupole-quadrupole residual\ninteraction and monopole pairing force. Deformation dependences of energies and\n$B(M1)$ values are correctly reproduced. The inclusion of pair correlations\nleads to a drastic improvement in the description of qualitative and\nquantitative characteristics of the scissors mode.",
"arxiv_id": "nucl-th/0701039",
"authors": [
"E. B. Balbutsev",
"L. A. Malov",
"P. Schuck",
"M. Urban",
"X. Vinyes"
],
"categories": [
"nucl-th"
],
"doi": "10.1134/S1063778808060057",
"title": "Nuclear Scissors Mode with Pairing",
"url": "https://arxiv.org/abs/nucl-th/0701039"
},
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