Production of transuranium nuclides in pulsed neutron fluxes from thermonuclear explosions

The production of transuranium nuclides in pulsed neutron fluxes from thermonuclear explosions has been studied within the kinetic model of the astrophysical $r$-process taking into account the time dependence of external parameters and processes accompanying the beta decay of neutron-rich nuclei. Neutron fluxes depending on the time in the range of $\sim 10^{-6}$ s have been simulated within the developed adiabatic binary model. The probabilities of beta-delayed processes have been calculated within the microscopic theory of finite Fermi systems. The yields of transuranium nuclides $Y(A)$ have been calculated for three experimental thermonuclear explosions Mike ($Y_M$), Par ($Y_P$), and Barbel ($Y_B$) (United States). The rms deviations of the calculations from experimental data are $91$, $33$, and $29\%$ for $Y_M$, $Y_P$, and $Y_B$, respectively. These deviations are much smaller than those for other known calculations and are comparable with the proposed exponential approximation ensuring rms deviations of $56$, $86.8$, and $60.2\%$ for $Y_M$, $Y_P$, and $Y_B$, respectively. The even-odd anomaly in the observed yields of heavy nuclei is explained by the dominant effect of processes accompanying the beta decay of heavy neutron-rich isotopes.