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Phenomenological He4-He4 potential and the properties of liquid helium (He4)

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Czechoslovak Journal of Physics B Aims and scope

Abstract

The properties of liquid He4 whose particles are interacting among themselves through an equivalent two-body Gaussian potential are studied by using the Bogolubov method. It is shown that the value of the hard-core radius σ≦2·2 A°; the most probable values form */m lie between 1·292 and 9 and that forΔ/k between 8 and 16 °K. The results are compared with the experimental and theoretical values known so far. The energy gapΔ and the effective massm * increase as the value ofk increases, keeping the density ϱ fixed. The resultant two-body interaction between the helium atoms is repulsive in the temperature range T→0.

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On leave fromDepartment of Physics, Dibrugarh University, Dibrugarh, Assam, India.

I am grateful to Professors Abdus Salam and P. Budini and to the Internatinoal Atomic Energy Agency for the kind hospitality and help given to me during my stay at the International Centre for Theoretical Physics, Trieste. The financial assistance which enabled me to be at the Centre is gratefully acknowledged. Thanks are also due to Professor B. R. Seth for encouragement.

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Khanna, K.M. Phenomenological He4-He4 potential and the properties of liquid helium (He4). Czech J Phys 20, 1166–1174 (1970). https://doi.org/10.1007/BF01698492

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  • DOI: https://doi.org/10.1007/BF01698492

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