https://doi.org/10.1140/epja/s10050-025-01487-8
Regular Article - Theoretical Physics
Calculation of the abundance of 
–
nuclear clock nuclides in S-process and sensitivity analysis of Maxwellian-averaged neutron capture cross sections
1
College of Mathematics and Physics, Beijing University of Chemical Technology, 15 North Third Ring East Road, 100029, Beijing, Beijing, China
2
SEU-Monash Joint Graduate School, Southeast University, 399 Linquan Road, 215000, Suzhou, Jiangsu, China
Received:
3
August
2024
Accepted:
31
December
2024
Published online:
6
February
2025
In this paper, the network equations calculation of 
–
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 
to 
, and establish the corresponding network equations. Using a single path s-process approximation, we obtain an analytical expression of the seed nuclide 
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 – 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 – nuclear clock network equations is carried out. Therefore, we find that in s-process, the neutron capture reaction 
has the greatest influence on the – nuclear clock reaction network, and the neutron capture reaction 
has the greatest effect on the particular nuclides and . So the measurements of these two Maxwellian-averaged neutron capture cross sections deserve the attention of experimental nuclear physicists.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
