Quasiparticle scattering amplitude for normal liquid3He
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Abstract
The quasiparticle scattering amplitude is calculated from a semimicroscopic model by analytically solving a generalization of Landau's integral equation to momentum transfers up to 2PF. This solution in general does not obey exchange symmetry for a given particle-hole irreducible vertex partfpp′(q). We establish conditions for and explicitly construct exchange-symmetric scattering amplitudes by adding higher angular momentum components. Results using certain models forfpp′(q) are compared with transport properties of liquid3He.
Keywords
Integral Equation Angular Momentum Magnetic Material Transport Property Momentum Transfer
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References
- 1.L. D. Landau,Zh. Eksp. Teor. Fiz. 30, 1058 (1956) [Sov. Phys. JETP 3, 920 (1956)];Zh. Eksp. Teor. Fiz. 32, 59 (1957) [Sov. Phys. JETP 5, 101 (1957)];Zh. Eksp. Teor. Fiz. 35, 97 (1958) [Sov. Phys. JETP 8, 70 (1959)].Google Scholar
- 2.G. Baym and C. J. Pethick, inThe Physics of Liquid and Solid Helium, Part II, K. H. Bennemann and J. B. Ketterson, eds. (Wiley, New York, 1978).Google Scholar
- 3.H. Højgaard Jensen, H. Smith, and J. W. Wilkins,Phys. Lett. 27A, 532 (1968);Phys. Rev. 185, 323 (1969).Google Scholar
- 4.G. A. Brooker and J. Sykes,Phys. Rev. 170, 346 (1968); J. Sykes and G. A. Brooker,Ann. Phys. (New York) 56, 1 (1970).Google Scholar
- 5.B. R. Patton and A. Zaringhalam,Phys. Lett. 55A, 95 (1975).Google Scholar
- 6.C. J. Pethick and H. Smith,Phys. Rev. Lett. 37, 226 (1976);Physica 90B, 107 (1977); C. J. Pethick, H. Smith, and P. Bhattacharyya,Phys. Rev. Lett. 34, 643 (1975);J. Low Temp. Phys. 23, 225 (1976);Phys. Rev. B 15, 3384 (1977).Google Scholar
- 7.D. Einzel and P. Wölfle,J. Low Temp. Phys. 32, 19 (1978); P. Wölfle and D. Einzel,J. Low Temp. Phys. 32, 39 (1978); D. Einzel, to be published.Google Scholar
- 8.J. Hara, Y. A. Ono, K. Nagai, and K. Kawamura,J. Low Temp. Phys. 39, 603 (1980).Google Scholar
- 9.D. Rainer and J. W. Serene,Phys. Rev. B 13, 4745 (1976); J. W. Serene and D. Rainer, inQuantum Fluids and Solids, S. B. Trickey, E. D. Adams, and J. W. Duffy, eds. (Plenum, New York, 1977);Phys. Rev. B 17, 2901 (1978);J. Low Temp. Phys. 34, 589 (1979);Phys. Rep., to be published.Google Scholar
- 10.A. A. Abrikosov and I. M. Khalatnikov,Rep. Prog. Phys. 22, 329 (1959).Google Scholar
- 11.K. Dy and C. J. Pethick,Phys. Rev. 185, 373 (1969).Google Scholar
- 12.J. Sauls and J. W. Serene,Phys. Rev. B 24, 183 (1981).Google Scholar
- 13.K. Levin and O. Valls,Phys. Rev. B 20, 105, 120 (1979).Google Scholar
- 14.K. Bedell and D. Pines,Phys. Rev. Lett. 45, 39 (1980).Google Scholar
- 15.C. H. Aldrich III and D. Pines,J. Low Temp. Phys. 32, 689 (1978).Google Scholar
- 16.K. Bedell and D. Pines,Phys. Lett. A 78, 281 (1980).Google Scholar
- 17.K. Bedell,Phys. Rev. B 26, 3747 (1982).Google Scholar
- 18.P. Nozières,Theory of Interacting Fermi Systems (Benjamin, New York, 1964).Google Scholar
- 19.M. Abramowitz and I. Stegun,Handbook of Mathematical Functions (Dover, New York, 1971), p. 773.Google Scholar
- 20.M. Pfitzner, Diplomarbeit, Technischen Universität München (1981), unpublished.Google Scholar
- 21.T. L. Ainsworth, K. S. Bedell, G. E. Brown, and K. F. Quader,J. Low Temp. Phys. 50, 319 (1983).Google Scholar
- 22.J. C. Wheatley,Rev. Mod. Phys. 47, 415 (1975).Google Scholar
- 23.T. A. Alvesalo, T. Haavasoja, and M. T. Manninen,J. Low Temp. Phys. 45, 373 (1981); T. A. Alvesalo, T. Haavasoja, M. T. Manninen, and A. T. Soinne,Phys. Rev. Lett. 44, 1076 (1980).Google Scholar
- 24.D. S. Greywall and P. A. Bush,Phys. Rev. Lett. 49, 146 (1982).Google Scholar
- 25.H. G. Bennewitz, G. H. Böhmann, D. E. Oates, and W. Schrader,Phys. Rev. Lett. 29, 533 (1972);Z. Phys. 253, 435 (1972).Google Scholar
- 26.W. D. Davidson,Proc. Phys. Soc. 87, 133 (1966).Google Scholar
- 27.D. F. Brewer, D. S. Betts, A. Sachrajda, and W. S. Truscott,Physica 108B, 1059 (1981).Google Scholar
- 28.J. M. Parpia, D. J. Sandiford, J. E. Berthold, and J. D. Reppy,Phys. Rev. Lett. 40, 565 (1979).Google Scholar
- 29.D. N. Paulson, M. Krusius, and J. C. Wheatley,Phys. Rev. Lett. 36, 1322 (1976).Google Scholar
- 30.J. C. Wheatley, inProgress in Low Temperature Physics, Vol. 7, D. F. Brewer, ed. (North-Holland, Amsterdam, 1978).Google Scholar
- 31.L. R. Corrucini, D. D. Osheroff, D. M. Lee, and R. C. Richardson,J. Low Temp. Phys. 8, 229 (1972).Google Scholar
- 32.K. Nara, I. Fujii, K. Kaneko, and A. Ikushima,Physica 108B, 1203 (1981).Google Scholar
- 33.G. E. Brown, C. J. Pethick, and A. Zaringhalam,J. Low Temp. Phys. 48, 349 (1982).Google Scholar
- 34.S. Fantoni, V. R. Pandharipande, and K. E. Schmidt,Phys. Rev. Lett. 48, 878 (1982).Google Scholar
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© Plenum Publishing Corporation 1983