Abstract
The dynamic structure factor in liquid3He is calculated within the framework of Dissipative Linear Response (DLR) equations. The effective interaction is represented by the Landau parameters up tol=2 and the Random Phase Approximation (RPA)-scattering amplitudes are evaluated in thes−p−d approximation. The dissipative linear response operator is calculated on the basis of RPA solutions of undamped zero sound using integral equation techniques.
The dynamical structure factor has a strong resonance structure whose width agrees with measurements of the attenuation coefficient for small momentum transfers. At larger values of momentum transfer, where the dynamical structure factor has been directly measured, the Landau parameters do not give more than a qualitative agreement with the data.
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References
Landau, L.D.: Sov. Phys. JETP5, 101 (1957)
Abel, W.R., Anderson, A.C., Wheatley, J.C.: Phys. Rev. Lett.17, 74 (1966)
Wheatley, J.C.: Rev. Mod. Phys.47, 415 (1975)
Baym, G., Pethick, C.: Landau Fermi-liquid theory and low temperature properties of normal liquid3He. In: The physics of liquid and solid helium. Bennemann, K.H., Ketterson, J.B. (eds.), Chap. I, Part II. New York: Wiley 1978
Wölfle, P.: Rep. Prog. Phys.42, 269 (1979)
Serene, J.W., Rainer, D.: Phys. Rep.101, 221 (1983)
Sköld, K., Pelizzari, C.A.: Philos. Trans. R. Soc. London B290, 605 (1980)
Hilton, P.A., Cowley, R.A., Scherm, R., Stirling, W.G.: J. Phys. D13, L295 (1980)
Scherm, R., Guckelsberger, K., Fak, B., Sköld, K., Dianoux, A.J., Godfrin, H., Stirling, W.G.: Phys. Rev. Lett.59, 217 (1987)
Aldrich, C.H., Pines, D.: J. Low Temp. Phys.32, 689 (1978)
Glyde, H.R., Hernadi, S.I.: Phys. Rev. B29, 3873, 4926 (1984)
Corrucini, L.R., Clarke, J.S., Mermin, N.D., Wilkins, J.W.: Phys. Rev.180, 225 (1969)
Pethick, C.J.: Phys. Rev.185, 384 (1964)
Newton, R.G.: Scattering theory of waves and particles. New York: McGraw Hill 1966
Mahaux, C., Weidenmüller, H.A.: Shell model approach to nuclear reactions, Chap. 4.5. Amsterdam: North Holland 1969
Hara, J., Ono, Y., Nagai, K., Kawamura, K.: J. Low Temp. Phys.39, 603 (1980)
Einzel, D.: Theorie der Transport-und Relaxationseigenschaften des Superfluiden3He−B. Dissertation, TU München 1980
Toepffer, C., Reinhard, P.-G.: Ann. Phys. (N.Y.)181, 1 (1988)
Abrikosov, A.A., Khalatikov, I.M.: Sov. Phys. JETP5, 887 (1957)
Sykes, J., Brooker, G.A.: Ann. Phys. (N.Y.)56, 1 (1970)
Vogel, J., Vogel, E., Toepffer, C.: Ann. Phys. (N.Y.)164, 463 (1985)
Hiltner, P.: Zur Dämpfung kollektiver Schwingungen in entarteten Fermionensystemen. Dissertation, Erlangen 1986
Lifshitz, E.M., Pitaevskii, L.P.: Statistical physics, Part 2, §91. Oxford: Pergamon Press 1984
Pines, D., Nozières, P.: The theory of quantum liquids, Vol. I, Chap. 2. New York: Benjamin, W.A., 1966
Thouless, D.J.: Nucl. Phys.22, 78 (1961)
Reinhard, P.-G., Yadav, H.L., Toepffer, C.: Nucl. Phys. A458, 301 (1986)
Stringari, S.: Phys. Lett.106 A, 267 (1984) Weisgerber, S., Reinhard, P.-G., Toepffer, C.: Skyrme-type forces: An effective interaction for liquid3He, Proceedings of the Conference on Spin-Polarized Quantum Systems, Torino, 1988 (to be published)
Nettleton, R.: J. Phys. C11, L725 (1978)
Gütter, K.: J. Phys. (Paris) C2, 55 (1987)
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Toepffer, C., Hiltner, P. Damping of zero sound in liquid3He. Z. Physik B - Condensed Matter 74, 429–438 (1989). https://doi.org/10.1007/BF01311390
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DOI: https://doi.org/10.1007/BF01311390