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- W1979702569 abstract "The modern theory of classical fluids, using the Born-Green-Yvon equation and a modified form of the Kirkwood superposition approximation involving powers of the particle number density $n$, is used to investigate the total neutron elastic scattering cross section for high-energy neutrons and heavy nuclei any pair of the latter of which interact according to the repulsive square mound potential. This potential function is defined by $ensuremath{psi}(r)=ensuremath{epsilon}(rensuremath{le}1)$ and $ensuremath{psi}(r)=0(r>1)$, where $ensuremath{epsilon}$ is a positive constant, $r$ is the separation distance, and the particle diameter is taken as the unit of distance. If $T$ is the absolute temperature, $k$ the Boltzmann constant, and $z=1ensuremath{-}=mathrm{exp}{frac{ensuremath{-}ensuremath{epsilon}}{mathrm{kT}}}$, then it is found by the present arguments for the low-density gas limit, where a number density expansion is valid, that up to the cube power of the density ${ensuremath{sigma}}_{mathrm{tot}}=1ensuremath{-}(frac{{ensuremath{lambda}}^{2}}{2ensuremath{pi}})[zn+{I}_{1}(z){n}^{2}+{I}_{2}(z){n}^{3}],$ where ${I}_{1}(z)=ensuremath{-}3.1416{z}^{2}+2.6834{z}^{3},$ $(1+0.1563z){I}_{2}(z)=6.2755{z}^{3}ensuremath{-}20.2741{z}^{4}+19.0949{z}^{5}ensuremath{-}4.7807{z}^{6},$ and the undefined symbols have their usual meaning." @default.
- W1979702569 created "2016-06-24" @default.
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- W1979702569 date "1963-02-01" @default.
- W1979702569 modified "2023-10-14" @default.
- W1979702569 title "Scattering of Small-Wavelength Neutrons by a Square-Mound-Potential Gas" @default.
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- W1979702569 doi "https://doi.org/10.1103/physrev.129.1005" @default.
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