Correlation Between the Behavior of $${\alpha}$$ -Decay Half-Life Time and $$\boldsymbol{Q}$$ Values with Neutron Number
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NUCLEI Theory
Correlation Between the Behavior of α-Decay Half-Life Time and Q Values with Neutron Number Variation of Daughter Nuclei M. Ismail1) , A. Abdurrahman2), and A. R. Abdulghany1)* Received December 14, 2019; revised February 14, 2020; accepted February 14, 2020
Abstract—α decay of 2000 parent heavy and superheavy nuclei, with atomic numbers in the range Z = 80 to Z = 122, is considered. We calculated the half-life time, Tα , of each nucleus using the density-dependent cluster model with M3Y-effective nucleon–nucleon interaction. The Qα values needed for calculation of Tα were extracted from four different mass tables used frequently in α-decay calculation. These tables are WS4, WS3, FRDM(2012), and DZ tables. The present study shows to what extent the behavior and value of Tα , as the nucleon number varies, depends on choosing the mass table used to extract Qα values. For this purpose, we studied the variation of log Tα and the corresponding 1/Qα with the neutron number of the daughter nucleus, Nd , using the four different mass tables. The results show that the log Tα variation follows the corresponding 1/Qα variation. The two mass tables WS3 and WS4 predict almost the same log Tα variation and agree in the magic and semi-magic numbers. For FRDM(2012) and DZ tables the variation of log Tα with Nd follows the same 1/Qα variation but the magic numbers deduced from these two tables do not agree with each other and almost differ from those predicted from WS3 and WS4. FRDM(2012) tables predict the main deep minimum at Nd = 128 instead of the magic neutron number Nd = 126. DOI: 10.1134/S1063778820050130
1. INTRODUCTION With the designation of UNESCO 2019 as the International Year of the Periodic Table of Chemical Elements (IYPT), the interest of the scientific community is still renewed to discover new elements. The Periodic Table was not before 2016 as it is now. In 2016, four new synthetic superheavy elements joined the Periodic Table and the seventh period of the Periodic Table became fully occupied. This milestone is achieved as a result of the efforts of many scientists around the world which led to the synthesis of the elements with atomic numbers up to Z = 118 and mass numbers up to A = 294 [1, 2]. The study of superheavy elements is driven by the desire to answer many fundamental questions related to nuclear and atomic physics, chemistry and astrophysics [3]. The study of superheavy elements helps in evaluation and refinement of theoretical models. This adds to our knowledge about the nature of nucleon interactions, and up to astrophysical nucleo-synthesis. Synthesis of heavy and superheavy elements in nature may be formed through the astrophysical r-process in supernovae and binary neutron star mergers [4]. Unlike 1)
Physics Department, Faculty of Science, Cairo University, Giza, Egypt. 2) Department of Physics, Faculty of Engineering, Misr University for Science and Technology (MUST), Giza, Egypt. * E-mail: [email protected]
the superhavy nuclei produced by heavy-ion fusion, the nuclei formed in
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