Shape Transition to a Rare Shape Phase of Prolate Non-collective in A = 100 Isobars.

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.