Study of alpha decay of super heavy elements using S-Matrix and WKB methods

Prema,, P and Mahadevan, S and Shastry, C. S and Bhagwat, A and Gambhir, Y. K. (2008) Study of alpha decay of super heavy elements using S-Matrix and WKB methods. International Journal of Modern Physics E, 17 (4). pp. 611-629. ISSN 1793-6608

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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 �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 t1/2 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 di�cult problem. We find that overall, the WKB method is reliable for the calculation of half lives of alpha decay from heavy nuclei.

Item Type: Article
Uncontrolled Keywords: Alpha decay; superheavy elements; WKB; S-matrix
Subjects: Departments at MU > Manipal Centre for Natural Sciences
Depositing User: MCNS Library
Date Deposited: 03 Feb 2014 11:31
Last Modified: 06 Nov 2014 06:32

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