The probability of potential barrier penetration in the generalized wkB approximation

1969 ◽  
Vol 9 (6) ◽  
pp. 61-63
Author(s):  
N. I. Zhirnov
2015 ◽  
Vol 30 (30) ◽  
pp. 1550150 ◽  
Author(s):  
F. Saidi ◽  
M. R. Oudih ◽  
M. Fellah ◽  
N. H. Allal

The cluster decay process is studied in the WKB approximation based on the unified fission model. The cluster is considered to be emitted by tunneling through a potential barrier taken as the sum of the Coulomb potential, the centrifugal potential and the modified Woods–Saxon (MWS) nuclear potential. The results of our calculations are compared to those obtained by other theoretical models as well as experimental data. It is shown that the unified fission model with the MWS nuclear potential can be successfully used to evaluate the cluster decay half-lives of heavy nuclei.


Author(s):  
H. C. Manjunatha ◽  
G. R. Sridhar ◽  
N. Sowmya ◽  
P. S. Damodara Gupta ◽  
H. B. Ramalingam

The alpha decay half-lives of actinides within modified generalized liquid drop model (MGLDM) are investigated by the Wentzel–Kramers–Brillouin (WKB) barrier penetration probability. The potential barrier was studied taking in to account of nuclear proximity, coulomb interaction and centrifugal potential with the inclusion of angular momentum. This work predicts the alpha decay half-lives of unknown actinide nuclei such as [Formula: see text]Am, [Formula: see text]Cm, [Formula: see text]Bk, [Formula: see text]Es and [Formula: see text]No. The calculated alpha decay half-lives reproduce accurately the experimental data. The predictions provided for the alpha decay half-lives within the MGLDM may be helpful for identifying the new isotopes in this field.


1980 ◽  
Vol 33 (2) ◽  
pp. 307 ◽  
Author(s):  
J Heading

Special methods are investigated for. the calculation of reflection and transmission coefficients for a real symmetric potential barrier. These methods, involving half-barrier penetration only, are both of physical and mathematical interest, and they also afford a considerable saving in time when numerical procedures are necessary in the case of analytically nonsoluble models.


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