dorsal/arxiv
View SchemaNuclear collective motion with a coherent coupling interaction between quadrupole and octupole modes
| Authors | N. Minkov, P. Yotov, S. Drenska, W. Scheid, D. Bonatsos, D. Lenis, D. Petrellis |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0603059 |
| URL | https://arxiv.org/abs/nucl-th/0603059 |
| DOI | 10.1103/PhysRevC.73.044315 |
| Journal | Phys.Rev. C73 (2006) 044315 |
Abstract
A collective Hamiltonian for the rotation-vibration motion of nuclei is considered, in which the axial quadrupole and octupole degrees of freedom are coupled through the centrifugal interaction. The potential of the system depends on the two deformation variables $\beta_2$ and $\beta_3$. The system is considered to oscillate between positive and negative $\beta_3$-values, by rounding an infinite potential core in the $(\beta_2,\beta_3)$-plane with $\beta_2>0$. By assuming a coherent contribution of the quadrupole and octupole oscillation modes in the collective motion, the energy spectrum is derived in an explicit analytic form, providing specific parity shift effects. On this basis several possible ways in the evolution of quadrupole-octupole collectivity are outlined. A particular application of the model to the energy levels and electric transition probabilities in alternating parity spectra of the nuclei $^{150}$Nd, $^{152}$Sm, $^{154}$Gd and $^{156}$Dy is presented.
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"abstract": "A collective Hamiltonian for the rotation-vibration motion of nuclei is\nconsidered, in which the axial quadrupole and octupole degrees of freedom are\ncoupled through the centrifugal interaction. The potential of the system\ndepends on the two deformation variables $\\beta_2$ and $\\beta_3$. The system is\nconsidered to oscillate between positive and negative $\\beta_3$-values, by\nrounding an infinite potential core in the $(\\beta_2,\\beta_3)$-plane with\n$\\beta_2\u003e0$. By assuming a coherent contribution of the quadrupole and octupole\noscillation modes in the collective motion, the energy spectrum is derived in\nan explicit analytic form, providing specific parity shift effects. On this\nbasis several possible ways in the evolution of quadrupole-octupole\ncollectivity are outlined. A particular application of the model to the energy\nlevels and electric transition probabilities in alternating parity spectra of\nthe nuclei $^{150}$Nd, $^{152}$Sm, $^{154}$Gd and $^{156}$Dy is presented.",
"arxiv_id": "nucl-th/0603059",
"authors": [
"N. Minkov",
"P. Yotov",
"S. Drenska",
"W. Scheid",
"D. Bonatsos",
"D. Lenis",
"D. Petrellis"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.73.044315",
"journal_ref": "Phys.Rev. C73 (2006) 044315",
"title": "Nuclear collective motion with a coherent coupling interaction between quadrupole and octupole modes",
"url": "https://arxiv.org/abs/nucl-th/0603059"
},
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