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Neutron Capture Cross Sections from Surrogate Reaction Data and Theory: Connecting the Pieces with a Markov-Chain Monte Carlo Approach

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Compound-Nuclear Reactions

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 254))

Abstract

The neutron capture cross section for 90 Zr(n, γ) has recently been determined using surrogate 92 Zr(p, ) data and nuclear reaction theory (J.E. Escher et al., Phys Rev Lett 121:052501, 2018). That work employed an approximate fitting method based on Bayesian Monte Carlo sampling to determine parameters needed for calculating the 90 Zr(n, γ) cross section. Here, we improve the approach by introducing a more sophisticated Markov-Chain Monte Carlo sampling method (W.K. Hastings, Biometrika 57:97, 1970). We present preliminary results.

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Acknowledgements

This work was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under contract DE-AC52-07NA27344, with support from LLNL’s HEDP summer student program and LDRD project 19-ERD-017.

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Correspondence to Oliver Gorton .

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Gorton, O., Escher, J.E. (2021). Neutron Capture Cross Sections from Surrogate Reaction Data and Theory: Connecting the Pieces with a Markov-Chain Monte Carlo Approach. In: Escher, J., et al. Compound-Nuclear Reactions . Springer Proceedings in Physics, vol 254. Springer, Cham. https://doi.org/10.1007/978-3-030-58082-7_28

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