dorsal/arxiv
View SchemaSoft triaxial roto-vibrational motion in the vicinity of $\gamma=\pi/6$
| Authors | Lorenzo Fortunato |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0406043 |
| URL | https://arxiv.org/abs/nucl-th/0406043 |
| DOI | 10.1103/PhysRevC.70.011302 |
| Journal | Phys.Rev. C70 (2004) 011302 |
Abstract
A solution of the Bohr collective hamiltonian for the $\beta-$soft, $\gamma-$soft triaxial rotor with $\gamma \sim \pi/6$ is presented making use of a harmonic potential in $\gamma$ and Coulomb-like and Kratzer-like potentials in $\beta$. It is shown that, while the $\gamma-$angular part in the present case gives rise to a straightforward extension of the rigid triaxial rotor energy in which an additive harmonic term appears, the inclusion of the $\beta$ part results instead in a non-trivial expression for the spectrum. The negative anharmonicities of the energy levels with respect to a simple rigid model are in qualitative agreement with general trends in the experimental data.
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"abstract": "A solution of the Bohr collective hamiltonian for the $\\beta-$soft,\n$\\gamma-$soft triaxial rotor with $\\gamma \\sim \\pi/6$ is presented making use\nof a harmonic potential in $\\gamma$ and Coulomb-like and Kratzer-like\npotentials in $\\beta$. It is shown that, while the $\\gamma-$angular part in the\npresent case gives rise to a straightforward extension of the rigid triaxial\nrotor energy in which an additive harmonic term appears, the inclusion of the\n$\\beta$ part results instead in a non-trivial expression for the spectrum. The\nnegative anharmonicities of the energy levels with respect to a simple rigid\nmodel are in qualitative agreement with general trends in the experimental\ndata.",
"arxiv_id": "nucl-th/0406043",
"authors": [
"Lorenzo Fortunato"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.011302",
"journal_ref": "Phys.Rev. C70 (2004) 011302",
"title": "Soft triaxial roto-vibrational motion in the vicinity of $\\gamma=\\pi/6$",
"url": "https://arxiv.org/abs/nucl-th/0406043"
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