Treatise on Heavy-Ion Science: Volume 4 Extreme Nuclear by Yuri Ts. Oganessian, Yuri A. Lazarev (auth.), D. Allan

By Yuri Ts. Oganessian, Yuri A. Lazarev (auth.), D. Allan Bromley (eds.)

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By Yuri Ts. Oganessian, Yuri A. Lazarev (auth.), D. Allan Bromley (eds.)

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Be 81b) in the Hartree-Fock-Bogolyubov method by using the effective nucleon-nucleon forces DI (De 80a). The collective variables (deformation constraints imposed on self-consistent field) arc expectation values of the appropriate multipolar operators Q,p. = ( Q,p. ) of mass distribution. The calculations take into account in a completely self-consistent fashion both pairing effects and a possibility of axially asymmetric deformations. The points PI (Q2o-28 b,Q30-0) and P2 (Q20-92 b,Q30-0) indicate the equilibrium deformations of the ground state and fission isomeric state of 240pU (compare these data with those of Figure 4).

However, a wealth of experimental data on the fission barriers exists in the region of the lighter elements with Z::::: 70-100. Figure 2 depicts the main features of this information. Large-scale discrepancies between the liquid drop model predictions and experiment for the nuclei around the double magic 208Pb and actinide nuclei are quite evident. On the other hand, a juxtaposition of Figures 1 and 2 demonstrates that at a nearly 35 208Pb ~ :::;: "-..... ) 25 ::c a: w I \, 0 e

Oganessian and Yuri A. Lazarev :50. "0. 30. 20. 10. 0. :550. 50. 100. Figure 6. Potential energy surface V (Q20' Q40' Q 30 = const) of the 240 Pu nucleus with respect to the collective variables Q20 (total deformation, in barns) and Q40 [necking, in (bam)2], in the scission region, calculated by Berger et al. (Be Sib) in the Hartree-Fock-Bogolyubov method by using the effective nucleon-nucleon forces DI (De SOa). See also the Figure 5 caption. The Q30 value is set to a most probable mass division.

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