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Prog. Theor. Phys. Vol. 64 No. 1 (1980) pp. 147-161
A Microscopic Description of Nuclear Rotational Motion. III
— Equation of Motion in the Intrinsic Space
—
Yoshiyuki Shōno
Division of Mathematical Physics, Faculty of Engineering, Fukui University, Fukui 910
(Received October 25, 1979)
Abstract:
On the basis of our previous works we propose a general method for solving the equation of rotational motion in the intrinsic space and determining the moment of inertia. Applying this method to many-j shell system with a quadrupole force, we get the cranking formula for the momnet of inertia. From our equations in the intrinsic space we derive a set of equations similar to those in the RPA method. In this way a new understanding of the RPA method for nuclear rotational motions is suggested.
We also mention briefly the validity of the linearization approximation used in our method.
URL :
http://ptp.ipap.jp/link?PTP/64/147/
DOI : 10.1143/PTP.64.147
References:
- Y. Shōno, Prog. Theor. Phys. 60 (1978), 1383[PTP].
- Y. Shōno, Prog. Theor. Phys. 64 (1980), 131[PTP].
-
D. J. Thouless, Nucl. Phys. 21 (1960), 225[CrossRef].
D. J. Thouless and J. G. Valation, Nucl. Phys. 31 (1962), 211[CrossRef].
T. Kammuri, Prog. Theor. Phys. 37 (1967), 1131[PTP].
E. R. Marshalek and J. Weneser, Ann. of Phys. 53 (1969), 564.
- R. E. Peierls and J. Yoccoz, Proc. Phys. Soc. A 70 (1957), 381.
- J. P. Elliott, Proc. Roy. Soc. 245 (1968), 128; ibid. 245 (1968), 562.
Y. Shōno, Prog. Theor. Phys. 31 (1964), 990[PTP].
-
D. R. Inglis, Phys. Rev. 96 (1954), 1059[APS].
- Y. Shōno, Prog. Theor. Phys. 34 (1965), 972[PTP].
- I. N. Mikhailov, E. Nodjakov and D. Karadzhov, Fiz. Él. Chast. Atom. Yad. 4 (1973), 311; Sov. J. Particle Nucl. 4 (1973), 129.
I. N. Mikhailov, K. Neergard, V. V. Pashkevich and S. Frauendorf, Fiz. Él. Chast. Atom. Yad. 8 (1977), 1388; Sov. J. Particle Nucl. 8 (1977), 550.
- T. H. R. Skyrme, Proc. Phys. Soc. A 70 (1957), 433.
-
C. A. Levinson, Phys. Rev. 132 (1963), 2186[APS].
-
C. Y. Hu. Nucl. Phys. 66 (1965), 449[CrossRef].
-
S. Franendorf, D. Janssen and L. Münchow, Nucl. Phys. A 125 (1969), 369[CrossRef].
-
Y. Nogami, Phys. Rev. 134 (1964), B313[APS].
Y. Nogami and I. J. Zucker, Nucl. Phys. 60 (1964), 203[CrossRef].
J. Goldfellow and Y. Nogami, Can. J. Phys. 44 (1966), 1321.