Prog. Theor. Phys. Vol. 47 No. 1 (1972) pp. 134-164

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Collective Rotational Motion in Non-Degenerate Nuclear System. I

— General Theory —

Seiya Nishiyama and Masatoshi Yamamura

Department of Physics, Kyoto University, Kyoto

(Received August 6, 1971)

Abstract:

Following a recent paper of D. H. E. Gross and one of the present authors (M. Y.), the idea of using sum rules expressing different single-particle transition operators in terms of higher powers of other operators is applied for the description of nuclear rotational motion in even deformed nuclei. Starting from the basic picture of Bohr's rotational model, a general microscopic method is developed with the help of these generalized sum rules. The validity of such picture should be justified by the dynamical restrictions under which rotational motion may appear. Moment of inertia, quadrupole moments, transition probabilities and occupation probabilities of the single-particle states are determined within the framework of the theory. The concept of the intrinsic state is clarified.

URL : http://ptp.ipap.jp/link?PTP/47/134/
DOI : 10.1143/PTP.47.134

References:

N. L. Lark and H. Morinaga, Nucl. Phys. 63 (1965), 466[CrossRef]; ibid. 67 (1965), 315[CrossRef].
R. K. Sheline, T. Silleland and R. N. Chanda, Phys. Rev. Lett. 7 (1961), 446[APS].
T. Marumori, M. Yamamura, Y. Miyanishi and S. Nishiyama, Prog. Theor. Phys. Suppl. Extra Number (1968), 179[PTP].
D. H. E. Gross and M. Yamamura, Nucl. Phys. A 140 (1970), 625[CrossRef]. (referred to as (I).)
M. Yamamura, Prog. Theor. Phys. 46 (1971), 148[PTP].
R. M. Dreizler and A. Klein, Phys. Lett. B 30 (1969), 236[CrossRef].
S. T. Belyaev and V. G. Zelevinsky, Yad. Fiz. 11 (1970), 741; Sov. J. Nucl. Phys. 11 (1970), 416.
J. P. Elliott, Proc. Roy. Soc. 245 (1968), 128; ibid. 245 (1968), 562.
A. Bohr, Kgl. Danske Videnskab. Selskab, Mat.-fys. Medd. 26 (1952), no. 14.
Y. Shono, Prog. Theor. Phys. 44 (1970), 553[PTP]; private communication.
R. E. Peierls and J. Yoccoz, Proc. Soc. A 70 (1957), 381.
H. J. Lipkin, Proceedings of the International Conference on Nuclear Physics, Paris, 1958, p. 761.
A. Arima, Prog. Theor. Phys. Suppl. Extra Number (1968), 489[PTP].

Citing Article(s) :

Progress of Theoretical Physics Vol. 47 No. 3 (1972) pp. 892-900 :
Rotational Motion in Deformed Even Nucleus and Magnetic Octupole-Moments and -Transitions

Masatoshi Yamamura and Seiya Nishiyama
Progress of Theoretical Physics Vol. 48 No. 6 (1972) pp. 2252-2275 :
A Microscopic Theory of Rotational Motion in Deformed Odd-Mass Nuclei. I

Moichiro Matsuzaki, Masaharu Iwasaki and Masatoshi Yamamura
Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 1052-1054 :
Two-Nucleon Transfer Amplitudes in the Ground-State Rotational Bands of Even Nuclei

Masatoshi Yamamura
Progress of Theoretical Physics Vol. 50 No. 1 (1973) pp. 137-146 :
A Note on Microscopic Description of Rotational Motion

Masatoshi Yamamura and Seiya Nishiyama
Progress of Theoretical Physics Vol. 51 No. 2 (1974) pp. 506-517 :
A Microscopic Theory of Rotational Motion in Deformed Odd-Mass Nuclei. II

Masaharu Iwasaki, Moichiro Matsuzaki and Masatoshi Yamamura
Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 538-549 :
On the New Kinematical Constraints of the Pair Operators in the Algebraic Approach to the Theory of Collective Motion

Masatoshi Yamamura
Progress of Theoretical Physics Vol. 53 No. 5 (1975) pp. 1392-1405 :
A Microscopic Description of Nuclear Rotational Motion in Terms of Solid Harmonics Expansion of the Pair Operator. I

Akihisa Hayashi and Masatoshi Yamamura
Progress of Theoretical Physics Vol. 55 No. 4 (1976) pp. 1146-1155 :
On an Algebraic Foundation of Kinematical Constraints of Pair Operators in a Many-Nucleon System

Seiya Nishiyama
Progress of Theoretical Physics Vol. 56 No. 1 (1976) pp. 124-134 :
An a priori Quantized Time-Dependent Hartree-Bogoliubov Theory

Masatoshi Yamamura and Seiya Nishiyama
Progress of Theoretical Physics Vol. 56 No. 6 (1976) pp. 1786-1801 :
A Semi-Microscopic Derivation of Coupling between Rotational and Intrinsic Motions. I

Atsushi Kuriyama
Progress of Theoretical Physics Vol. 60 No. 5 (1978) pp. 1383-1398 :
A Microscopic Description of Nuclear Rotational Motion. I

Yoshiyuki Shōno
Progress of Theoretical Physics Supplement No.58 (1975) pp. 1-8 :
Introduction

Atsushi Kuriyama, Toshio Marumori and Kenichi Matsuyanagi
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

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