Variation of moments of inertia with angular momentum and systematics of bandhead moments of inertia of superdeformed bands

1998 ◽  
Vol 58 (6) ◽  
pp. 3266-3279 ◽  
Author(s):  
S. X. Liu ◽  
J. Y. Zeng
2002 ◽  
Vol 38 (3) ◽  
pp. 351-354
Author(s):  
Yu Shao-Ying ◽  
He Xiao-Tao ◽  
Liu Shu-Xin ◽  
Zhao En-Guang ◽  
Zeng Jin-Yan

2021 ◽  
Vol 18 (1) ◽  
pp. 136
Author(s):  
V. Tanriverdi

Euler derived equations for rigid body rotations in the body reference frame and in the stationary reference frame by considering an infinitesimal part of the rigid body.Another derivation is possible, and it is widely used: transforming torque-angular momentum relation to the body reference frame.However, their equivalence is not shown explicitly.In this work, for a rigid body with different moments of inertia, we calculated Euler equations explicitly in the body reference frame and in the stationary reference frame and torque-angular momentum relation.We also calculated equations of motion from Lagrangian.These calculations show that all four of them are equivalent.


2003 ◽  
Vol 67 (4) ◽  
Author(s):  
F. Lerma ◽  
W. Reviol ◽  
C. J. Chiara ◽  
M. Devlin ◽  
D. R. LaFosse ◽  
...  

1994 ◽  
Vol 49 (7-8) ◽  
pp. 802-810
Author(s):  
M. I. El-Zaiki ◽  
H. E. Abdel-Baeth

Abstract The vibrational and rotational characteristics of the ground bands of even-even nuclei with 150 ≤ A ≤ 166 (2 < R4< 3) are studied. The spectra of these nuclei (with band crossing angular momentum IC ≥ 12) are analyzed with a cubic polynomial in I. The considered nuclei (150Sm, 152Gd, 154-156Dy, 156Er, 158-160-162Yb and 162,164, 166Hf) lie in the central region between the Z = 50 and Z = 82 major shell closures and span the spherical to the well deformed region. The gradual shape transition from a soft spherical vibrator to a deformed rotor from 150Sm to 166Hf is thus made explicitly apparent from the g-band spectrum analysis in terms of the vibrational, rotational and softness coefficients.The transition at N = 88-90 for the vibrational-rotational ratios and for the kinematic moments of inertia are reproduced.


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