---

Prog. Theor. Phys. Vol. 68 No. 5 (1982) pp. 1594-1607

Collective Rotation in Nuclei Rapidly “Rotating” about a Symmetry Axis

Haruki Kurasawa

Department of Physics, Tohoku University, Sendai 980

(Received January 30, 1982)

Abstract:

A schematic RPA model is applied to investigating the properties of collective rotation in nuclei rapidly “rotating” about a symmetry axis. If the adiabatic approximation is valid, there exists an RPA mode corresponding to an ideal collective rotation, which has the same structure as that of the phonon generating collective rotation in the rotor model. When the adiabatic approximation breaks down, this RPA mode turns out to be a single-particle excitation mode within a major shell (ΔN=0). This results from the violation of time reversal symmetry of the vacuum (the sloping Fermi surface) and the presence of ΔN=0 single-particle excitations. We discuss also some formal properties of RPA.

URL : http://ptp.ipap.jp/link?PTP/68/1594/
DOI : 10.1143/PTP.68.1594

[ Full Text PDF : FREE ACCESS (561K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. C. G. Andersson and J. Krumlinde, Nucl. Phys. A 291 (1977), 21[CrossRef].
2. D. Janssen and I. N. Mikhailov, Nucl. Phys. A 318 (1979), 390[CrossRef].
3. E. R. Marshalek, Nucl. Phys. A 331 (1979), 429[CrossRef].
4. K. Matsuyanagi, Soryushiron Kenkyu (Kyoto) 61 (1980), 126; ibid. 63 (1981), B71.
5. H. Kurasawa, Prog. Theor. Phys. 64 (1980), 2055[PTP].
6. A. Bohr and B. R. Mottelson, Nucl. Phys. A 354 (1981), 303c.
7. C. G. Andersson, J. Krumlinde, G. Leander and Z. Szymański, Nucl. Phys. A 361 (1981), 147[CrossRef].
8. A. Bohr and B. R. Mottelson, Nuclear Structure (Benjamin New York, 1975), vol. II.
9. K. Tanabe and K. Sugawara-Tanabe, Phys. Lett. B 34 (1971), 575[CrossRef].
10. See, for example, M. E. Rose, Elementary Theory of Angular Momentum (John Wiley & Sons, New York, 1957).
11. A. Bohr and B. R. Mottelson, Nuclear Structure (Benjamin, New York, 1969), vol. I.
12. T. Holstein and H. Primakoff, Phys. Rev. 58 (1940), 1098[APS].
13. See, for example, L. D. Landau and E. M. Lifshitz, Mechanics (Pergamon Press, Oxford, 1976), vol. 1 of Course of Theoretical Physics.
14. T. Kishimoto, J. M. Moss, D. H. Youngblood, J. D. Bronson, C. M. Rozsa, D. R. Brown and A. D. Bacher, Phys. Rev. Lett. 35 (1975), 552[APS].
    T. Suzuki and D. J. Rowe, Nucl. Phys. A 289 (1977), 461[CrossRef].
15. G. Andersson, S. E. Larsson, G. Leander, P. Möller, S. G. Nilsson, I. Ragnarsson, S. Åberg, R. Bengtsson, J. Dudek, B. Nerlo-Pomorska, K. Pomorski and Z. Szymański, Nucl. Phys. A 268 (1976), 205[CrossRef].
16. M. Radomski, Phys. Rev. C 14 (1976), 1704[APS].
17. D. R. Inglis, Phys. Rev. 96 (1954), 1059[APS].
18. I. Hamamoto, Nucl. Phys. A 177 (1971), 484[CrossRef].
    T. Kammuri and S. Kusuno, Nucl. Phys. A 215 (1973), 178[CrossRef].
19. E. R. Marshalek and J. Weneser, Ann. of Phys. 53 (1969), 569[CrossRef].
    D. J. Rowe, Nuclear Collective Motion: Models and Theory (Methuen, London, 1970).
20. D. J. Thouless, Nucl. Phys. 21 (1960), 225[CrossRef]; ibid. 22 (1961), 78[CrossRef].
21. A. K. Kerman and N. Onishi, Nucl. Phys. A 361 (1981), 179[CrossRef].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 72 No. 4 (1984) pp. 799-812 :

   Interplay of Gamma-Vibrations and Aligned-Quasiparticles at High-Spin Yrast Region

   Yoshifumi R. Shimizu and Kenichi Matsuyanagi

2. Progress of Theoretical Physics Vol. 72 No. 5 (1984) pp. 1017-1035 :

   Monopole and Quadrupole Giant Resonances in Rotating Triaxially Deformed Nuclei

   Yoshifumi R. Shimizu and Kenichi Matsuyanagi

3. Progress of Theoretical Physics Vol. 75 No. 5 (1986) pp. 1161-1175 :

   Monopole and Quadrupole Giant Resonances in Rotating Triaxially Deformed Nuclei. II

   Yoshifumi R. Shimizu and Kenichi Matsuyanagi

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.