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• W1981645185 abstract "In treating a many-body system, the concept of correlation has been used by various authors to calculate the interacting ground state. In particular, in the Wong-Fung theory, the interacting ground state is expressed in terms of the correlation operators and the noninteracting ground state. Including pair (${u}_{2}$) and three-particle (${u}_{3}$) correlations, the wave function can be written as explicit algebraic functions of ${u}_{2}$ and ${u}_{3}$ and the noninteracting wave function [K. W. Wong et al., Phys. Rev. A. 22, 1272 (1980)]. On the other hand, the authors of the present paper have recently developed a $U$-matrix theory [Phys. Rev. A. 27, 1760 (1983)] to study general quantum-mechanical problems. For a time-independent problem, we can use this theory to find an analytic solution for the interacting wave function in terms of the potential functions of the system. A bridge between the correlation functions and the potential functions is built by identifying the interacting wave functions of the stated two theories to be the same quantity. Using the above idea, we are able to express the two-particle potential function ${v}_{2}$ as a simple function of the pair correlation ${u}_{2}$ and a switching integral $I$, which determines how the interaction Hamiltonian is switched on, to the lowest order to approximation. Instead of using a model for ${u}_{2}$, we obtain the explicit form of ${u}_{2}$ through the neutron scattering data of Henshaw and the concept of radial distribution function ${g}_{2}$. It is interesting to note that this ${u}_{2}$ is not divergent at any point and is Fourier transformable. Then we proceed to deduce the resulting two-particle potential function. The deduced two-particle potential is shown to be similar in form to the Lenard-Jones potential, with the same depth, a smaller hard-core radius, and a softer core." @default.
• W1981645185 created "2016-06-24" @default.
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• W1981645185 date "1984-09-01" @default.
• W1981645185 modified "2023-09-30" @default.
• W1981645185 title "Deduction of the two-particle potential function of liquid-He4system from scattering data" @default.
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• W1981645185 doi "https://doi.org/10.1103/physreva.30.1495" @default.
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