Tunneling along γ-axis between prolate and oblate shapes
Using Zickendraht - Dzyublik - Filippov coordinates; we derived equation to determine the rotation and monopole + quadrupole vibrations of the nuclear ellipsoid of inertia. Apart from the monopole part, it coincides with the Bohr - Mottelson equation. However, our mass parameter turns out to be abou...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute for Nuclear Research, National Academy of Sciences of Ukraine
2007-12-01
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| Series: | Ядерна фізика та енергетика |
| Online Access: | http://jnpae.kinr.kiev.ua/22(4)/Articles_PDF/jnpae-2007-4(22)-0040-Dzyublik.pdf |
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| Summary: | Using Zickendraht - Dzyublik - Filippov coordinates; we derived equation to determine the rotation and monopole + quadrupole vibrations of the nuclear ellipsoid of inertia. Apart from the monopole part, it coincides with the Bohr - Mottelson equation. However, our mass parameter turns out to be about 2.5 times larger than the hydrodynamic one. The equation is solved quasi-classically for nonrotating β rigid but γ soft nuclei, whose energy landscape has prolate and oblate minima, connected by the collective path along the γ axis. The γ tunnelling strength appears to be twice the usual one, taking place for the one-dimensional potential with two minima, separated by the barrier. The E0 transition strength between levels of the ground 0+ doublet is calculated. The results are consistent with the experiment for 74Kr. |
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| ISSN: | 1818-331X 2074-0565 |