Possible Understanding of Hyperdeformed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mprescripts/><mml:mrow/><mml:mrow><mml:mn>144</mml:mn><mml:mo>–</mml:mo><mml:mn>146</mml:mn></mml:mrow><mml:mrow/><mml:mrow/></mml:mmultiscripts></mml:mrow><mml:mi>a</mml:mi></mml:math>Nuclei Appearing in the Spontaneous Fission of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mprescripts/><mml:mrow/><mml:mrow><mml:mn>252</mml:mn></mml:mrow><mml:mrow/><mml:mrow/></mml:mmultiscripts></mml:mrow><mml:mi>f</mml:mi></mml:math>
Xizhen WuChina Institute of Atomic Energy, P.O. Box 275(18), Beijing, 102413, People's Republic of ChinaJianzhong GuCCAST (World Laboratory), P.O. Box 8730, Beijing, 100080, People's Republic of ChinaYizhong ZhuoChina Institute of Atomic Energy, P.O. Box 275(18), Beijing, 102413, People's Republic of ChinaZhuxia LiChina Institute of Atomic Energy, P.O. Box 275(18), Beijing, 102413, People's Republic of ChinaYong-Shou ChenChina Institute of Atomic Energy, P.O. Box 275(18), Beijing, 102413, People's Republic of ChinaWalter GreinerInstitut für Theoretische Physik der Johann Wolfgang Goethe-Universität, Frankfurt am Main, Germany
1997lv
ABI
Annotatsiya
The dependence of the stability of prolate deformed nuclei on the neck parameter is studied from the point of view of the interplay between order and chaos. The statistical properties of level spectra for the deformed space explored by the fission process are presented. It is found that on saddles the single particle motion is unstable against chaos, whereas at minimums it is stable. Based on this investigation a possible understanding of hyperdeformed ${}^{144--146}\mathrm{Ba}$ appearing in the spontaneous fission of ${}^{252}\mathrm{Cf}$ is provided.
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