Abstract
We have extended the Langevin equations to 4 dimensions (4D) by allowing the independent deformation for the left (δ1) and right fragments (δ2) of the fissioning nucleus. At the moment we are only able to use them in conjunction with the macroscopic transport coefficients. Nevertheless, we can see a considerable improvement in the preliminary results for the fission observables, especially those related to the total kinetic energy (TKE) of fission fragments. By plotting the TKE distributions we have revealed the super-long fission modes in236U and super-short fission modes in257Fm. By plotting the distribution ofδagainst the fragment’s TKE we have noted a correlation between the values ofδand Brosa’s fission modes. We have found that the standard fission modes correspond to prolate tips of the light fragments while the complementary heavy fragments have oblate fission tips. On the other hand, if both fragments were prolate at the tips, we get super-long fission modes. If both fragments were oblate at the tips, we get super-short fission modes.
Highlights
The calculation of fission observables using Langevin equations has recently progressed from using 3D calculations to 4 dimensions (4D)
[1], we constructed the 3D deformation potential within the two center shell model (TCSM) [2] and allow the shape of the nucleus to evolve along the trajectories calculated by Langevin equations
In the current 4D calculations, the collective coordinates used in the Langevin calculations with macroscopic transport coefficients are qi = {z0/R0, δ1, δ2, α}
Summary
The calculation of fission observables using Langevin equations has recently progressed from using 3D calculations to 4D. [1], we constructed the 3D deformation potential within the two center shell model (TCSM) [2] and allow the shape of the nucleus to evolve along the trajectories calculated by Langevin equations. The energy and pairing shell corrections Vshell(q) and Vpair(q) at T = 0 were calculated with the finite-depth deformed Woods-Saxon potential. For this the TCSM shapes were expressed in terms of deformed Cassini ovaloids and the code by Pashkevich [18, 19] was used to calculate the single-particle energies. In present work we use the experimental results for ν(Apre) from the reactions with the incident neutron energy En = 0.5 MeV [21]
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