Nuclear Engineering and Technology

Korean Nuclear Society (한국원자력학회)
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The critical slab problem with the Anlı-Güngor scattering function

  • R.G. Tureci (Kirikkale University, Kirikkale Vocational School)
  • Received : 2023.01.11
  • Accepted : 2023.04.15
  • Published : 2023.08.25
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Abstract

The criticality problem in this study is studied with the recently investigated the Anlı-Güngör scattering function. The scattering function depends on the Legendre polynomials as the Mika scattering function, but it includes only one scattering parameter, t, and its orders. Both Mika and Anlı-Güngör scattering are the same for only linear anisotropic scattering. The difference appears for the quadratic scattering and further. The analytical calculations are performed with the HN method, and the numerical results are calculated with Wolfram Mathematica. Interpolation technique in Mathematica is also used to approximate the isotropic scattering results when t parameter goes to zero. Thus, the calculated results could be compared with the literature data for isotropic scattering.

Keywords

Acknowledgement

In the first version of the manuscript the scattering parameter was taken in interval |t| ≤ 1 as in the original paper for AG scattering function. With a short analysis I did thanks to the criticism of the referees, the definition range of the scattering parameter must be - 0:54 ≤ t ≤ 0:54. Therefore, it is my debt to thank the referees for contributing to the scientific value of my study. I also want to thank Prof. F. Anli for helpful discussions.

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