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A theoretical investigation on the shape transitions with neutron number, temperature and spin for A $=$100 isobars of Z$=$42 to 50 is presented. A variety of shape transitions are observed while moving from neutron rich 100 Mo to proton rich 100 Sn with predominant triaxial shapes. Temperature and spin induced shape transitions are explored within the microscopic theoretical framework of and statistical theory of hot rotating nuclei. Prolate non-collective which is a rare shape phase is reported in this mass region on the proton rich side of the nuclear chart.
Relativistic mean field theory with the NL3 force is used for producing potential energy surfaces (PES) for series of isotopes suggested as exhibiting critical point symmetries. Relatively flat PES are obtained for nuclei showing the E(5) symmetry, w
Nuclides sharing the same mass number (isobars) are observed ubiquitously along the stability line. While having nearly identical radii, stable isobars can differ in shape, and present in particular different quadrupole deformations. We show that eve
The rapid shape change in Zr isotopes near neutron number $N$=60 is identified to be caused by type II shell evolution associated with massive proton excitations to its $0g_{9/2}$ orbit, and is shown to be a quantum phase transition. Monte Carlo shel
We study the prolate-shape predominance of the nuclear ground-state deformation by calculating the masses of more than two thousand even-even nuclei using the Strutinsky method, modified by Kruppa, and improved by us. The influences of the surface th
Temperature and angular momentum induced shape changes in the well deformed 100 Nb have been investigated within the theoretical framework of Statistical theory combined with triaxially deformed Nilson potential and Strutinsky prescription. Two shape