Calculation of The Abundance of 187Re-187Os Nuclear Clock Nuclides in S-process and Sensitivity Analysis of Maxwellian-Averaged Neutron Capture Cross Sections
Abstract
In this paper, the network equations calculation of 187Re-187Os clock-related nuclide abundance in s-process is studied, and the sensitivities of Maxwellian-Averaged neutron capture cross sections for each nuclide are analyzed in detail. Firstly, basing nuclear physical parameters, we give the branching s-process reaction network from 184W to 190Os, and establish the corresponding network equations. Using a single path s-process approximation, we obtain an analytical expression of the seed nuclide 183W abundance of our branching network. Because of the stiffness of the system of network equations, we use the semi-implicit Runge-Kutta method to give the numerical solution of the network equations, and thus obtain the abundance of each nuclide related to the 187Re-187Os nuclear clock in the s-process. Finally, with the numerical solution, the sensitivity analysis of the Maxwellian-Averaged neutron capture cross sections of the nuclear reaction involved in the 187Re-187Os nuclear clock network equations is carried out. Therefore, we find that in s-process, the neutron capture reaction 184W + n 185W has the greatest influence on the 187Re-187Os nuclear clock reaction network, and the neutron capture reaction 186W + n 187W has the greatest effect on the particular nuclides 187Re and 187Os. So the measurements of these two Maxwellian-Averaged neutron capture cross sections deserve the attention of experimental nuclear physicists.
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