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Prog. Theor. Phys. Vol. 44 No. 3 (1970) pp. 565-573

[ Full Text PDF : FREE ACCESS (561K) ]

On the Excitation Energy in Liquid Helium II

Takeji Kebukawa, Shuichiro Yamasaki and Sigenobu Sunakawa

Department of Physics, College of General Education, Osaka University, Toyonaka

(Received May 23, 1970)

Abstract:

In a previous paper, the excitation spectrum in liquid helium II at 0°K has been studied from first principles, by taking into account the contribution from the phonon-phonon interactions, where use has been made of a simple square-well potential as an attraction potential between helium atoms. In the present note, the calculation of the excitation energy is improved by making use of the Morse potential which is more realistic than the square-well potential. The result is in better harmony with the experimental spectrum than that of the previous paper. In the final section, the lowest order ground state energy is calculated numerically to yield a value which is in fairly good agreement with the observed value.


URL : http://ptp.ipap.jp/link?PTP/44/565/
DOI : 10.1143/PTP.44.565

[ Full Text PDF : FREE ACCESS (561K) ] Citation:

References:

  1. S. Sunakawa, S. Yamasaki and T. Kebukawa, Prog. Theor. Phys. 41 (1969), 919[PTP].
  2. T. Imamura, K. Okajima and S. Sunakawa, Prog. Theor. Phys. 42 (1969), 1468[PTP].
  3. D. G. Henshaw and A. D. B. Woods, Phys. Rev. 121 (1961), 1266[APS].
    A. D. B. Woods, Quantum Fluids (North-Holland Pub., 1966), 242.
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  5. D. G. Henshaw, Phys. Rev. 119 (1960), 9[APS].
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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 49 No. 2 (1973) pp. 388-400 :
    The Temperature Dependence of Phonon Velocity and Roton Minimum in Liquid He II
    Takeji Kebukawa
  2. Progress of Theoretical Physics Vol. 49 No. 6 (1973) pp. 1802-1820 :
    Multi-Branch Structure of the Excitation Spectra in Liquid Helium II
    Takeji Kebukawa, Shuichiro Yamasaki and Sigenobu Sunakawa
  3. Progress of Theoretical Physics Vol. 50 No. 5 (1973) pp. 1490-1500 :
    Commutativity of Velocity Operators in a System of Bose Particles
    Shuichiro Yamasaki, Takeji Kebukawa and Sigenobu Sunakawa
  4. Progress of Theoretical Physics Vol. 51 No. 2 (1974) pp. 366-377 :
    Temperature Dependence of the Absorption Coefficient of First Sound and Its Velocity in Liquid Helium II
    Takeji Kebukawa
  5. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 793-810 :
    Correlations in Bose Fluids, I. An Elementary Excitation and Its Effective Hamiltonian
    Toshio Tsuzuki
  6. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 811-821 :
    Excitation Energy of Liquid Helium. II
    G. S. Grest and A. K. Rajagopal
  7. Progress of Theoretical Physics Vol. 53 No. 5 (1975) pp. 1243-1266 :
    On the Collective Variables in Many-Boson System
    Shuichiro Yamasaki, Takeji Kebukawa and Sigenobu Sunakawa
  8. Progress of Theoretical Physics Vol. 54 No. 2 (1975) pp. 348-369 :
    On the Interaction between Elementary Excitations in Many-Boson System
    Shuichiro Yamasaki, Takeji Kebukawa and Sigenobu Sunakawa
  9. Progress of Theoretical Physics Vol. 54 No. 5 (1975) pp. 1299-1308 :
    Nonconservation of Excitons and the Low-Temperature Thermodynamics
    R. Djordjević and B. S. Tošić
  10. Progress of Theoretical Physics Vol. 61 No. 2 (1979) pp. 367-383 :
    The Elementary Excitation Spectra of Liquid Helium II
    Kenji Fukushima, Naoto Koyama and Toshio Sugiyama
  11. Progress of Theoretical Physics Vol. 63 No. 4 (1980) pp. 1170-1180 :
    Microscopic Derivation of the Roton-Roton Interaction
    Toshio Sugiyama
  12. Progress of Theoretical Physics Vol. 65 No. 4 (1981) pp. 1198-1216 :
    One-Dimensional Many Boson System. I
    Shosuke Sasaki and Takeji Kebukawa

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