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- Title
STUDY OF ALPHA DECAY OF SUPER HEAVY ELEMENTS USING S-MATRIX AND WKB METHODS.
- Authors
PREMA, P.; MAHADEVAN, S.; SHASTRY, C. S.; BHAGWAT, A.; GAMBHIR, Y. K.
- Abstract
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 τ1/2 values the results from both methods are similar even though the S-matrix results should be considered to be more accurate. However, when log τ1/2 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.
- Subjects
ALPHA rays; COMPARATIVE studies; CONTINUUM mechanics; HEAVY elements; CHEMICAL elements
- Publication
International Journal of Modern Physics E: Nuclear Physics, 2008, Vol 17, Issue 4, p611
- ISSN
0218-3013
- Publication type
Article
- DOI
10.1142/S0218301308010039