By Yuri Ts. Oganessian, Yuri A. Lazarev (auth.), D. Allan Bromley (eds.)
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Additional info for Treatise on Heavy-Ion Science: Volume 4 Extreme Nuclear States
The latter characterizes a system's response to the forces applied and, together with the potential energy, it determines the trajectory of the system's motion towards scission (Br 72). The system may not follow the minimum potential energy 32 Yurl Ts. Oganessian and Yurl A. Lazarev path, provided the effective mass on this path is too great. Therefore a peculiar compromise between the values of the potential energy E (s) of the fissioning nucleus and its effective mass M(s) is realized on the least-action trajectory L min .
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. The valleys VI and V2 correspond to nonfragmented and fragmented configurations (the fission valley VI and the fusion valley Vz).
Therefore it is quite natural to employ the given theoretical approach for predicting the spontaneous fission properties of still heavier nuclei, especially in the Z = 114 and N = 184 range, where the shell model yields new magic numbers (Bo 72b, Br 72, Gu 67, Me 67, Mo 59, Mu 68, So 66, St 67b). g. (Bo 72b, Br 72, Ho 74b, Lu 71, Lu 75, Mo 72a, Mo 76b, My 65, My 66, Mu 68, Ni 69a, Ni 72, Ra 74b). As a result, it has been established that in the range of superheavy nuclei around Z = 114 and N = 184 the fission barriers can be substantially higher than for actinides and reach 8-14 MeV, depending on the choice of a particular version of the shell correction approach and the choice of parameters.
Treatise on Heavy-Ion Science: Volume 4 Extreme Nuclear States by Yuri Ts. Oganessian, Yuri A. Lazarev (auth.), D. Allan Bromley (eds.)