scholarly journals A stochastic microscopic approach to the $^{10}{\rm Be}$ and $^{11}{\rm Be}$ nuclei

2020 ◽  
Vol 2020 (2) ◽  
Author(s):  
Pierre Descouvemont ◽  
Naoyuki Itagaki

Abstract We use a microscopic multicluster model to investigate the structure of $^{10}{\rm Be}$ and of $^{11}{\rm Be}$. These nuclei are described by $\alpha +\alpha+n+n$ and $\alpha +\alpha+n+n+n$ configurations, respectively, within the Generator Coordinate Method (GCM). The 4- and 5-body models raise the problem of a large number of generator coordinates (6 for $^{10}{\rm Be}$ and 9 for $^{11}{\rm Be}$), which requires specific treatment. We address this issue by using the Stochastic Variational Method (SVM), which is based on an optimal choice of the basis functions, generated randomly. The model provides good energy spectra for low-lying states of both nuclei. We also compute rms radii and densities, as well as electromagnetic transition probabilities. We analyze the structure of $^{10}{\rm Be}$ and of $^{11}{\rm Be}$ by considering energy curves, where one of the generator coordinates is fixed during the minimization procedure.

2004 ◽  
Vol 13 (01) ◽  
pp. 139-146 ◽  
Author(s):  
R. R. RODRÍGUEZ-GUZMÁN ◽  
J. L. EGIDO ◽  
L. M. ROBLEDO

The superdeformed band of 36 Ar is studied with the Gogny force D1S and the angular momentum projected generator coordinate method for the quadrupole moment. The band head excitation energy, moments of inertia, B(E2) transition probabilities and stability against quadrupole fluctuations at low spin are studied. The Self Consistent Cranking method is also used to describe the superdeformed rotational band. In addition, properties of some normal deformed states are discussed.


1988 ◽  
Vol 489 (3) ◽  
pp. 477-507 ◽  
Author(s):  
C.-H. Yu ◽  
M.A. Riley ◽  
J.D. Garrett ◽  
G.B. Hagemann ◽  
J. Simpson ◽  
...  

1973 ◽  
Vol 7 (6) ◽  
pp. 2274-2281 ◽  
Author(s):  
B. Giraud ◽  
J. C. Hocquenghem ◽  
A. Lumbroso

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