Isospin mixing, Fermi transitions and signatures of nuclear deformation within a mean field approach

Gamow-Teller and Fermi transitions are considered in a HF+BCS+pnQRPA theoretical framework. We show here how Gamow-Teller strength distributions can be used in a search for signatures of nuclear deformation in neutron-deficient Pb, Hg and Po isotopes, as well as how Fermi transitions allow us to quantify isospin mixing in some even Kr isotopes around N = Z. 1 Theoretical framework Microscopic models describe the structure of the nucleus in terms of the degrees of freedom of its microscopic constituents: the nucleons. Our starting point is a non-relativistic Hamiltonian containing one-and two-body interactions, ˆ H = ij t ijâ i ˆ a j + 1 2 ijkl v ijkî a † i ˆ a † j ˆ a l ˆ a k , (1) where v ijkl are the matrix elements of the nucleon-nucleon interaction and the indices i, j, k and l label the single-particle states in some complete orthonormal basis.