scholarly journals Pathological behavior in the spectral statistics of the asymmetric rotor model

2001 ◽  
Vol 64 (6) ◽  
Author(s):  
V. R. Manfredi ◽  
L. Salasnich
1982 ◽  
Vol 60 (10) ◽  
pp. 1461-1470 ◽  
Author(s):  
V. P. Varshney ◽  
K. K. Gupta ◽  
A. K. Chaubey ◽  
D. K. Gupta

The figures of Gupta et al. (Nuovo Cimento B, 58, 101 (1980)) regarding the E2 transitions in heavy mass nuclei have been modified. Medium mass nuclei of range 20° < γ < 30°, which reflect the asymmetry of the nuclei, have been included. We have employed the asymmetric rotor model dependent Q0 for the sake of consistency in theoretical predictions instead of its experimental values. It is observed that theoretical values of B(E2) branching ratios viz. 2+′ → 2+/0+, 2+′ → 2+/2+ → 0+, and 2+′ → 0+/2+ → 0+ coincide excellently with experimental ones for the nuclei, which consistently show a low-lying second 2+ state at about the same energy as the first 4+ state. In general, the agreement with experimental values is found to be within a factor of two. On using absolute B(E2: 2+ → 0+) and γ data, the values of B(E2: 2+′ → 0+), B(E2: 2+′ → 2+), and the mean life of 2+′ states have been predicted.


1989 ◽  
Vol 67 (2-3) ◽  
pp. 131-134 ◽  
Author(s):  
A. K. Varshney ◽  
K. K. Gupta ◽  
D. K. Gupta ◽  
R. K. Tyagi

Recently, attempts have been made to use the dynamic pairing plus quadrupole model to evaluate B(E2) values, B(E2) branching ratios, and low-lying energy levels for 146,148Sm nuclei, which are in poor agreement with experiment. Application of the boson expansion technique on 148Sm shows too much splitting and an incorrect order for the quintet states, while other properties have not been discussed. In the present work, 146,148Sm nuclei have been described using an asymmetric rotor model framework. The nonaxiality parameter (γ) has been evaluated using the energy ratio E2+′/E6+. Remarkable success has been achieved in explaining the correct ordering of known low-lying energy levels, B(E2) values, and B(E2) branching ratios, which indicate that the so-called spherical nuclei may be treated as triaxial.


1967 ◽  
Vol 103 (2) ◽  
pp. 427-432 ◽  
Author(s):  
M.G. Davidson

2003 ◽  
Vol 17 (15) ◽  
pp. 803-812
Author(s):  
V. R. Manfredi ◽  
V. Penna ◽  
L. Salasnich

In this paper we investigate the local and global spectral properties of the triaxial rigid rotator. We demonstrate that, for a fixed value of the total angular momentum, the energy spectrum can be divided into two sets of energy levels, whose classical analogs are librational and rotational motions. By using diagonalization, semiclassical and algebric methods, we show that the energy levels follow the anomalous spectral statistics of the one-dimensional harmonic oscillator.


1975 ◽  
Vol 253 (1) ◽  
pp. 231-252 ◽  
Author(s):  
H. Toki ◽  
Amand Faessler
Keyword(s):  

1962 ◽  
Vol 36 ◽  
pp. 666-687 ◽  
Author(s):  
Lucy Wu Person ◽  
John O. Rasmussen
Keyword(s):  

1973 ◽  
Vol 208 (2) ◽  
pp. 317-332 ◽  
Author(s):  
Sugawara-Tanabe Kazuko ◽  
Tanabe Kosai
Keyword(s):  

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