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Study of alpha decay of super heavy elements using S-MATRIX and wkb methods

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Title Study of alpha decay of super heavy elements using S-MATRIX and wkb methods
 
Creator PREMA, P
MAHADEVAN, S
SHASTRY, CS
BHAGWAT, A
GAMBHIR, YK
 
Subject relativistic mean-field
microscopic description
ground-state
half-lives
scattering
nuclei
model
potentials
resonances
alpha decay
superheavy elements
wkb
s-matrix
 
Description A comparative study of the S-matrix and the WKB methods for the calculation of the half widths of alpha decay of super heavy elements is presented. The extent of the reliability of the WKB methods is demonstrated through simple illustrative examples. Detailed calculations have been carried out using the microscopic alpha-daughter potentials generated in the framework of the double-folding model using densities obtained in the relativistic mean field theories. We consider alpha-nucleus systems appearing in the decay chains of super heavy parent elements having A = 277, Z = 112 and A = 269, Z = 110. For negative and small positive log T-1/2 values the results from both methods are similar even though the S-matrix results should be considered to be more accurate. However, when log inverted perpendicular(1/2) values are large and positive, the width associated with such state is infinitesimally small and hence calculation of such width by the S-matrix pole search method becomes a numerically difficult problem. We find that overall, the WKB method is reliable for the calculation of half lives of alpha decay from heavy nuclei.
 
Publisher WORLD SCIENTIFIC PUBL CO PTE LTD
 
Date 2011-09-02T02:29:16Z
2011-12-26T12:59:55Z
2011-12-27T05:53:05Z
2011-09-02T02:29:16Z
2011-12-26T12:59:55Z
2011-12-27T05:53:05Z
2008
 
Type Article
 
Identifier INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, 17(4), 611-629
0218-3013
http://dx.doi.org/10.1142/S0218301308010039
http://dspace.library.iitb.ac.in/xmlui/handle/10054/12942
http://hdl.handle.net/10054/12942
 
Language en