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Prog. Theor. Phys. Vol. 18 No. 4 (1957) pp. 396-404

[ Full Text PDF : FREE ACCESS (662K) ]

A Remark on the Moments of Inertia of Rotating Nuclei

Satio Hayakawa and Toshio Marumori*

Research Institute for Fundamental Physics, Kyoto University, Kyoto
*Department of Physics, Kyoto University, Kyoto

(Received July 17, 1957)

Abstract:

The quantum mechanical description of a two dimensional rotating system of particles is studied for the purpose to elucidate the meaning of the effective moments of inertia of nuclei. We employ the method of canonical transformations and obtain the rotational kinetic energy of a “canonical form” by introducing an internal angular momentum L in. The Coriolis force arising from the coupling of L in with the rotational angular velocity is found to be responsible for the deviation of the moment of inertia from its hydrodynamical value. The explicit form of L in is given as a function of the positions and momenta of individual particles. This form of L in should be used for deriving the effective moment of inertia. Comparison with the cranking model of Inglis is discussed.


URL : http://ptp.ipap.jp/link?PTP/18/396/
DOI : 10.1143/PTP.18.396

[ Full Text PDF : FREE ACCESS (662K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 19 No. 5 (1958) pp. 495-516 :
    On the Collective Mode of Internal Motion of the Nucleus to be coupled with the Irrotational Surface Motion
    Sinobu Nagata, Ryozo Tamagaki, Saburo Amai and Toshio Marumori
  2. Progress of Theoretical Physics Vol. 20 No. 6 (1958) pp. 960-970 :
    Foundation of Deformed Potential Model for Nuclear Rotation
    Kiyomi Ikeda, Minoru Kobayasi, Toshio Marumori, Sinobu Nagata and Takanori Shiozaki
  3. Progress of Theoretical Physics Vol. 21 No. 2 (1959) pp. 269-298 :
    Nuclear Moments of Inertia
    Tatuoki Miyazima and Yasushi Wada
  4. Progress of Theoretical Physics Vol. 24 No. 2 (1960) pp. 331-356 :
    On the Collective Motion in Even-Even Spherical Nuclei
    Toshio Marumori
  5. Progress of Theoretical Physics Vol. 56 No. 4 (1976) pp. 1140-1155 :
    Structure of the Anomalous 0+' Excited States in Spherical Even-Even Nuclei with N or Z ≈40
    Saburo Iwasaki, Toshio Marumori, Fumihiko Sakata and Kenjiro Takada
  6. Progress of Theoretical Physics Vol. 56 No. 4 (1976) pp. 1156-1173 :
    Interplay of Pairing and Intrinsic Modes of Excitation in Nuclei. I
    Tōru Suzuki and Kenichi Matsuyanagi
  7. Progress of Theoretical Physics Vol. 62 No. 3 (1979) pp. 690-705 :
    Dynamical Interplay of Pairing and Quadrupole Modes in Transitional Nuclei. II
    Tōru Suzuki, Masahiko Fuyuki and Kenichi Matsuyanagi
  8. Progress of Theoretical Physics Vol. 65 No. 5 (1981) pp. 1667-1683 :
    Dynamical Interplay of Pairing and Quadrupole Modes in Transitional Nuclei. III
    Tōru Suzuki, Masahiko Fuyuki and Kenichi Matsuyanagi
  9. Progress of Theoretical Physics Vol. 66 No. 5 (1981) pp. 1651-1663 :
    Quantum Theory of Collective Motion
    Toshio Marumori, Fumihiko Sakata, Tsutomu Une, Yukio Hashimoto and Toshihide Maskawa
  10. Progress of Theoretical Physics Supplement No.58 (1975) pp. 9-31 :
    Chapter 1. Intrinsic and Collective Degrees of Freedom in Quasi-Spin Space
    Atsushi Kuriyama, Toshio Marumori, Kenichi Matsuyanagi, Fumihiko Sakata and Tōru Suzuki
  11. Progress of Theoretical Physics Supplement No.71 (1981) pp. 1-47 :
    Chapter 1. Present Status of the Microscopic Study of Low-Lying Collective States in Spherical and Transitional Nuclei
    Toshio Marumori, Kenjiro Takada and Fumihiko Sakata
  12. Progress of Theoretical Physics Supplement No.71 (1981) pp. 48-70 :
    Chapter 2. Outline of the Mode-Mode Coupling Theory
    Fumihiko Sakata, Toshio Marumori and Kenjiro Takada
  13. Progress of Theoretical Physics Supplement No.71 (1981) pp. 123-179 :
    Chapter 4. Dynamical Interplay between Pairing and Quadrupole Correlations
    Shigeru Tazaki, Kenjiro Takada, Kazunari Kaneko and Fumihiko Sakata
  14. Progress of Theoretical Physics Supplement No.74 & 75 (1983) pp. 221-236 :
    An Attempt toward Quantum Theory of “Maximally-Decoupled” Collective Motion
    Toshio Marumori, Fumihiko Sakata, Tsutomu Une and Yukio Hashimoto

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