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Prog. Theor. Phys. Vol. 33 No. 1 (1965) pp. 22-37

[ Full Text PDF : FREE ACCESS (1170K) ]

On the Effect of Pauli Principle on Collective Vibrations in Nuclei

Kiyomi Ikeda, Takeshi Udagawa* and Hajime Yamaura*

Department of Physics, College of Science and Engineering, Nihon University, Tokyo
*Department of Physics, Tokyo Institute of Technollgy, Tokyo

(Received August 24, 1964)

Abstract:

The earlier theories of collective vibrations based on the Random Phase Approximation have neglected the effect of the Pauli principle. A method to take into account this effect is developed for the simple model with the pairing plus Q-Q interactions. It is shown that the correction is appreciable on the properties of the vibrational states. The effect is found to be particularly important for a vibrational state with low frequency. This fact plays an essential role in reproducing the experimental mass number dependence of the energies of the vibrational states. The numerical calculations are carried out for the first vibrational 2+ states of even nuclei. The results agree remarkably well with the experimental systematics for these nuclei with a constant strength of the Q-Q interactions.


URL : http://ptp.ipap.jp/link?PTP/33/22/
DOI : 10.1143/PTP.33.22

[ Full Text PDF : FREE ACCESS (1170K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 36 No. 3 (1966) pp. 551-567 :
    On the Renormalization Effect due to the Ground State Correlation on the Nuclear Vibrational Motion
    Hiroharu Bandō
  2. Progress of Theoretical Physics Vol. 37 No. 2 (1967) pp. 315-335 :
    On Applicability of the Random Phase Approximation to the Collective Excitation in Spherical Even Nuclei. I
    Akira Tokunaga
  3. Progress of Theoretical Physics Vol. 38 No. 2 (1967) pp. 332-352 :
    On the Effect of the Pauli Principle on the Collective Oscillations in Spherical Even Nuclei
    Yoshinao Miyanishi and Masatoshi Yamamura
  4. Progress of Theoretical Physics Vol. 38 No. 6 (1967) pp. 1285-1296 :
    Effective Interaction and Effective Charge for Valence Nucleons in Collective Vibration and Core Polarization
    Hiroharu Bandō
  5. Progress of Theoretical Physics Vol. 39 No. 1 (1968) pp. 53-82 :
    Boson Approximation of Nucleon Pairs in Even-Even Nuclei
    Koji Taruishi
  6. Progress of Theoretical Physics Vol. 80 No. 2 (1988) pp. 258-267 :
    Coupling of Particles with the Pair Rotaion in Odd-Mass Nuclei
    Tetsuo Kammuri and Teruo Kishimoto

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