A MODIFIED NUCLEAR MODEL FOR BINDING ENERGY OF NUCLEI AND THE ISLAND OF STABILITY

Abstract

A new nuclear model of quantifying binding energy of nuclei is proposed. The nucleus is assumed to be composed of two regions; the inner core region and surface region. The inner core is assumed to be composed of Z proton-neutron pairs (Z=N) and the surface region is composed of the unpaired neutrons for a nucleus in which N>Z. The interaction between the core and neutrons in the surface region is assumed to be such that it leads to an average potential Vo in which each neutron in the surface region can move. Knowing the experimental values for the binding energy of nuclei, this average interaction potential Vo has been calculated for light, medium, heavy nuclei and Super heavy elements. Vo varies for isotopes, Isobars and Isotones. For isotopes the value of Vo decreases as the nuclei surface region neutron number (N) increases. A decrease in Vo is quite large when the neutron number increases by unity in light nuclei compared to heavy nuclei. For isotones, the value of Vo increases with an increase in proton number (Z). This is evident for both light nuclei and heavy nuclei. For Isobars, all elements ranging from light to SHE, Vo increases with decreasing A-2Z. The value of Vo is calculated for 254 super heavy nuclei or elements (SHE or SHN) starting from U 234 92 to Ei 295 118 . The calculated values of the interaction potential Vo range from 671.688 MeV for U 234 92 to the value 938.961 MeV for Ei 295 118 . However, a very high value of 1022.206 MeV is noted for Ds 267 110 . Definite variations in Vo are obtained for Isotones, Isotopes and Isobars. For Isotones, the value of Vo increases while there is an increase in proton number (Z increases). For isotopes, Vo value decreases while number of neutrons in neutron skin region increases. For isobars, Vo value increases while proton number (Z) increases. This trend in variation of Vo is evident across all the nuclides, the obtained values of Vo are within the expected theoretical values, also the variation of Vo is in agreement with “Woods-Saxon potential”.