Charge exchange operators sum rules and proton–neutron T=0 and T=1 pairing interactions Original Research Article

We study sum rules for charge exchange operators of the Gamow–Teller and Fermi type and explore what can be learned from them about proton–neutron pairing in T=0 and T=1 channels. We consider both energy weighted (EWSR) and non-energy weighted (NEWSR) sum rules. We use a schematic Hamiltonian to stress the distinctive roles of T=1 and T=0 pair interactions and correlations in the sum rules. Numerical results for 44Ti are presented for both schematic and realistic interactions.