Mohammed Ali AL-Jomaily, F., Ibraheem Khalil Al-Hobaity, M. (2015). The Development of Semi – Empirical Relationship for the Determination of the Half –Lives of Even – Even Heavy Nuclei that Emit Alpha – Particles. , 56(1), 750-766.
Firas Mohammed Ali AL-Jomaily; Mayan Ibraheem Khalil Al-Hobaity. "The Development of Semi – Empirical Relationship for the Determination of the Half –Lives of Even – Even Heavy Nuclei that Emit Alpha – Particles". , 56, 1, 2015, 750-766.
Mohammed Ali AL-Jomaily, F., Ibraheem Khalil Al-Hobaity, M. (2015). 'The Development of Semi – Empirical Relationship for the Determination of the Half –Lives of Even – Even Heavy Nuclei that Emit Alpha – Particles', , 56(1), pp. 750-766.
Mohammed Ali AL-Jomaily, F., Ibraheem Khalil Al-Hobaity, M. The Development of Semi – Empirical Relationship for the Determination of the Half –Lives of Even – Even Heavy Nuclei that Emit Alpha – Particles. , 2015; 56(1): 750-766.

The Development of Semi – Empirical Relationship for the Determination of the Half –Lives of Even – Even Heavy Nuclei that Emit Alpha – Particles

Iraqi Journal of Science
Article 1, Volume 56, Issue 1, 2015, Pages 750-766
Authors
Firas Mohammed Ali AL-Jomaily; Mayan Ibraheem Khalil Al-Hobaity
Abstract
The study involved the determination of the half – lives Logarithm for heavy even – even nuclei that contain atomic numbers in the range between 82≤Z≤102 through revisiting of the one particle model suggested by Gurney Condon and Gamow in 1928. This model is based upon the formation of an alpha particle in the parent nucleus before its tunneling decay. In addition, a simple modification process is done on the nucleus radius. in which it was found that the nucleus radius (2%) will change the decay constant value (2-3 times) which will greatly affect the nucleus half-life logarithm as well as its effect on the inverse proportion between the nucleus radius and the potential barrier rise. The half – life logarithm for the nuclei being studied was determined, through several common models that belong to another studies alongside our proposed (present work) Model (P.W.M) that contains semi – empirical relation based on the Geiger & Nutall rule. That is with suitable constants that were obtained through trial and error as the model contain a term represented by the relative neutrons excess ((N-Z_p)/A) which was extremely important in half life logarithm suitability and its approach to experimental values. The comparison process depending on statistical procedures that we undertook as in the calculation of root mean square deviation (rmsd) as well as the standard deviation (σ) alongside the relation between the theoretical and experimental half-life logarithm ratio .Results showed that the half-life logarithm increases with the increase in neutrons numbers (N) for all nuclei except those that contain magic numbers in their atomic numbers (Z) or neutron numbers (N) or both. The fitting equations that link between theoretical and experimental half-life logarithm and for two Model (P.W.M) and (K.M), were obtained.
Keywords
Alpha; One; Super heavy nuclei; half
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