An improved unified formula for $$\alpha $$-decay and cluster radioactivity of heavy and superheavy nuclei
M. Ismail, A. Y. Ellithi, A. Adel, Mohamed Abbas
Abstract
Abstract Improved NRDX empirical formula for $$\alpha $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>α</mml:mi> </mml:math> - and cluster decay half-lives is modified by adding the effects of angular momentum, isospin asymmetry and parity. The coefficients are determined using the latest experimental data for $$\alpha $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>α</mml:mi> </mml:math> -decay half-lives of 573 nuclei and the available 22 cluster decay half-lives. The modified formulas produced the $$\alpha $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>α</mml:mi> </mml:math> - and cluster decay half-lives and agree with calculations of other similar formulas. We used the new formulas to calculate the half-lives of cluster emissions of the SHN with $$Z=120$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Z</mml:mi> <mml:mo>=</mml:mo> <mml:mn>120</mml:mn> </mml:mrow> </mml:math> , 122, 124, and 126, which have not yet been experimentally synthesized.