A Rational Algebraic Function Fitted to the Klein-Nishina Energy Transfer Cross-Section Formula

L&aacute;szl&oacute; Koblinger

doi:dx.doi.org/10.13182/NSE81-A19049

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Home / Publications / Journals / Nuclear Science and Engineering / Volume 79 / Number 1

A Rational Algebraic Function Fitted to the Klein-Nishina Energy Transfer Cross-Section Formula

László Koblinger

Nuclear Science and Engineering / Volume 79 / Number 1 / September 1981 / Pages 123-124

Technical Note / dx.doi.org/10.13182/NSE81-A19049

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A quadratic over a cubic rational function is fitted to the Klein-Nishina energy transfer cross section. The evaluation of the approximate formula is faster than that of the original expression and there is no problem with the computer precision at low energies. The error is within 0.4% for energies below 5 MeV.