Search for hyperdeformation through Jacobian instability in excited medium mass nuclei

There is a great interest in the structure of the N = Z nuclei since, unlike in all other nuclei, it will be dominated by the T = 0 residual interaction. The presently available experimental information indicates a small region strong deformation centered on ⁷⁶Sr. In this work, we aim at predicting such hyperdeformed shapes through Jacobi shape transitions in even-even Strontium isotopes, ⁷⁶Sr and ⁷⁸Sr as a function of spin