A new technique to measure ðp; nÞ charge-exchange reactions in inverse kinematics at intermediate energies on unstable isotopes was successfully developed and used to study the 56 Niðp; nÞ reaction at 110 MeV=u. Gamow-Teller transition strengths from 56 Ni leading to 56 Cu were obtained and compared with shell-model predictions in the pf shell using the KB3G and GXPF1A interactions. The calculations with the GXPF1A interaction reproduce the experimental strength distribution much better than the calculations that employed the KB3G interaction, indicating deficiencies in the spin-orbit and protonneutron residual potentials for the latter. The results are important for improving the description of electron-capture rates on nuclei in the iron region, which are important for modeling the late evolution of core-collapse and thermonuclear supernovae.Electron capture (EC) and decay on medium-heavy nuclei play important roles in late stellar evolution [1]. In core-collapse (type II) supernovae, these weak reactions strongly affect the evolution towards the explosion [2,3]. EC on 56 Ni is an important contributor to the change in the electron-to-baryon ratio in the core-collapse supernovae of stars of 25-40 solar masses [4]. Accurate EC rates on isotopes in the region near 56 Ni are also critical to better understand the nature of thermonuclear supernovae (type Ia) [5] and help constrain the explosion models [6].Gamow-Teller (GT; ÁL ¼ 0, ÁS ¼ 1, ÁT z ¼ AE1) transition strengths are the key ingredients for calculating EC rates. In this work, we extract the GT strengths from 56 Ni in the ÁT z ¼ À1 ( À ) direction using the 56 Niðp; nÞ reaction at 110 MeV=u in inverse kinematics. Because isospinsymmetry-breaking effects are small, the extracted strengths also describe GT transitions to 56 Co in the ÁT z ¼ þ1 ( þ =EC) direction and directly impact the EC rate estimates for the abovementioned astrophysical processes. More important is that the results provide a deeper insight into the validity of shell-model calculations used to generate strength distributions for many iron-group nuclei for which data are not available.In the independent particle model, 56 Ni with N ¼ Z ¼ 28 is doubly magic. However, since both protons and neutrons occupy the same major (pf) shell, the proton-neutron interaction is relatively strong, thereby softening the f 7=2 core [7,8]. Shell-model calculations with the KB [9,10] and GXPF1 [11,12] families of interactions both predict that the probability of a closed ðf 7=2 Þ 16 shell configuration for 56 Ni is about 65%. However, GT strengths calculated with the KB family of interactions, which have been used in the generation of a weak-reaction rate library for astrophysical calculations [13], differ drastically [14] from those using the GXPF1 family. The differences between the two sets of calculations impact the estimates for EC rates on 56 Ni by as much as 30% [14]. Moreover, by resolving the ambiguity between the two shell-model calculations for the case of 56 Ni, it becomes possible to improve the EC...