The dispersion curve for elementary excitations in He II at low temperatures and at the vapor pressure is evaluated using inelastic neutron scattering data. It is found that this dispersion curve is consistent with recent specific heat measurements of high resolution. We represent the dispersion curve by means of cubic splines, and emphasize the need for further neutron scattering studies at low momentum transfer.
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References
L. I. Dana and H. Kammerlingh Onnes, Proc. Roy. Acad. Amsterdam 29, 1061 (1926).
R. J. Donnelly and P. H. Roberts, J. Low Temp. Phys. 27, 687 (1977).
J. L. Yarnell, G. P. Arnold, P. J. Bendt, and E. C. Kerr, Phys. Rev. 113, 1379 (1959).
P. J. Bendt, R. D. Cowan, and J. L. Yarnell, Phys. Rev. 113, 1386 (1959).
M. Cohen, Phys. Rev. 118, 27 (1968).
R. J. Donnelly, Phys. Lett. 39A, 221 (1972).
O. W. Dietrich, E. H. Graf, C. H. Huang, and L. Passell, Phys. Rev. A 5, 1377 (1972).
J. A. Tarvin and L. Passell, Phys. Rev. B 19, 1458 (1979); A. D. B. Woods and E. C. Svensson, Phys. Rev. Lett. 41, 974 (1978).
J. S. Brooks and R. J. Donnelly, J. Phys. Chem. Ref. Data 6, 51 (1977).
A. D. B. Woods, P. A. Hilton, R. Scherm, and W. G. Stirling, J. Phys. C 10, L45 (1977).
C. A. Murray, R. L. Woerner, and T. J. Greytak, J. Phys. C. 8, L90 (1975).
R. J. Donnelly and P. H. Roberts, J. Phys. C 10, L683 (1977).
D. Greywall, Phys. Rev. B 18, 2127 (1978); 21, 1329 (1979) (Erratum).
E. C. Svensson, P. Martel, V. F. Sears, and A. D. B. Woods, Can. J. Phys. 54, 2178 (1976); and E. C. Svensson, private communication.
E. C. Svensson, R. Scherm, and A. D. B. Woods, J. Phys. (Paris) 39, C6–211 (1978).
R. A. Cowley and A. D. B. Woods, Can. J. Phys. 49, 177 (1971).
W. G. Stirling, J. R. D. Copley, and P. A. Hilton, in Proceedings of an IAEA Symposium, Neutron Inelastic Scattering (Vienna, 1978), Vol. II, p. 45.
W. G. Stirling, private communication.
M. G. Cox, J. Inst. Math. Appl. 10, 134 (1972); 21, 135 (1978).
C. de Boor, J. Approx. Thy. 6, 50 (1972); SIAM J. Numer. Anal. 14, 441 (1977); A Practical Guide to Splines (Springer Verlag, New York, 1978).
J. G. Hayes and J. Halliday, J. Inst. Math. Appl. 14, 89 (1974).
H. Maris, Rev. Mod. Phys. 49, 341 (1977).
L. P. Pitaevski\>i and Y. B. Levinson, Phys. Rev. B 14, 263 (1976).
R. C. Dynes and V. Narayanamurti, Phys. Rev. B 12, 1720 (1975).
P. H. Roberts and W. J. Pardee, J. Phys. A. Math. Nuc. Gen. 7, 1283 (1974).
A. H. Smith, R. A. Cowley, A. D. B. Woods, W. G. Stirling, and P. Martel, J. Phys. C. Solid State Phys. 10, 543 (1977).
C. H. Aldrich III, C. J. Pethick, and D. Pines, J. Low Temp. Phys. 25, 691 (1976).
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Research supported in part by NSF grant DMR 78-10782.
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Donnelly, R.J., Donnelly, J.A. & Hills, R.N. Specific heat and dispersion curve for helium II. J Low Temp Phys 44, 471–489 (1981). https://doi.org/10.1007/BF00117839
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DOI: https://doi.org/10.1007/BF00117839