Abstract
We report high precision inelastic neutron scattering measurements in liquid Neon at a temperature of 25.8 K and saturated vapour pressure. The data covers a wide range of energy and momentum transfer (2 Å−1 ⩽ Q ⩽ 13 Å−1). The atomic momentum distribution, n(p), and final state effects (FSE) can be readily extracted from this intermediate wavevector transfer data provided a suitable method of analysis is used. We find that the momentum distribution in liquid Neon is marginally sharper than a Gaussian and that final state effects contribute predominantly an antisymmetric component to the the dynamic structure factor. The width of n(p) and the kinetic energy are increased by 37% above the classical values due to quantum effects. The experimental results are in agreement with theoretical values obtained by a Path Integral Monte Carlo simulation.
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REFERENCES
W. J. L. Buyers, V. F. Sears, P. A. Lonngi, and D. A. Lonngi, Phys. Rev. A 11, 697 (1975).
V. F. Sears, Can. J. Phys. 22, 555 (1981).
D. A. Peek, I. Fujita, M. C. Schmidt, and R. O. Simmons, Phys. Rev. B 45, 9671 (1992).
A. A. van Well and L. A. de Graaf, Phys. Rev. A 32, 2396 (1985).
H. R. Glyde, Phys. Rev. B 50, 6726 (1994).
S. W. Lovesey, Theory of Neutron Scattering from Condensed Matter, Volume 1. Oxford University Press, Oxford (1984).
H. A. Gersch and L. J. Rodriguez, Phys. Rev. A 8, 905 (1973).
V. F. Sears, Phys. Rev. B 30, 44 (1984).
R. N. Silver, Phys. Rev. B 39, 4022 (1989).
C. Carraro and S. E. Koonin, Phys. Rev. Lett. 65, 2792 (1990).
T. R. Sosnick, W. M. Snow, R. N. Silver, and P. E. Sokol, Phys. Rev. B 43, 216 (1991).
C. K. Loong, S. Ikeda, and J. M. Carpenter, Nucl. Instr. and Math. A 260, 381 (1987).
P. E. Sokol, private communication.
S. Ikeda and J. M. Carpenter, Nucl. Instr. and Meth. A 239, 536 (1985).
K. H. Andersen, A Neutron Scattering Study of Liquid Helium-4. PhD thesis, Keele University (1991).
V. F. Sears, Phys. Rev. A 1, 1699 (1970); V. F. Sears, Phys. Rev. A 5, 452 (1972); V. F. Sears, Can. J. Phys. 63, 68 (1985).
A. A. Maradudin, E. W. Montroll, and G. H. Weiss, Theory of Lattice Dynamics in the Harmonic Approximation, Solid State Physics Supplement 3, Academic Press, New York (1963), p. 117.
R. A. Aziz, in Inert Gases: Potentials, Dynamics and Energy Transfer in Doped Crystals, M. L. Klein (Eds.), Springer-Verlag, Heidelberg (1984).
D. N. Timms, A. C. Evans, M. Boninsegni, D. M. Ceperley, J. Mayer, and R. O. Simmons, J. Phys. CM 8, 6665 (1996).
S. Brown, Proc. Phys. Soc. 89, 897 (1966).
A. Cuccoli, A. Macchi, M. Neumann, V. Tognetti, and R. Vaia, Phys. Rev. B 45, 2088 (1992).
E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics, 3rd Edition, Part 1, Pergamon Press, New York (1980), p. 98.
M. A. Fradkin, S.-X. Zeng, and R. O. Simmons, Phys. Rev. B 49, 15563 (1994).
R. T. Azuah, W. G. Stirling, H. R. Glyde, P. E. Sokol, and S. M. Bennington, Phys. Rev. B 51, 605 (1995).
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Azuah, R.T., Stirling, W.G., Glyde, H.R. et al. Momentum Distribution and Final State Effects in Liquid Neon. J Low Temp Phys 109, 287–308 (1997). https://doi.org/10.1007/s10909-005-0088-y
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DOI: https://doi.org/10.1007/s10909-005-0088-y