Spectroscopic factors of mirror states near N=Z

The symmetry between nuclei that are isobars with opposite numbers of protons and neutrons (i.e., mirror nuclei) has often been exploited when there is limited experimental information on one member of the mirror pair. However, the degree to which this mirror symmetry holds is not well known currently, especially for weakly bound or unbound states. As properties of mirror nuclei are often used to determine reaction rates, ascertaining the accuracy of mirror symmetry can be crucial for better understanding nucleosynthesis. The Super-Enge Split-Pole Spectrograph at Florida State University has been used to study A=25 and A=29 mirror pairs using (d,p) and (³He,d) transfer reactions on N=Z targets: ²⁴Mg and ²⁸Si. Using the same target, beam energy per nucleon, and experimental setup, states up to and beyond the respective proton and neutron separation energies were populated with the goal of determining and comparing the spectroscopic factors for each mirror pair and quantifying any asymmetries. Preliminary angular distributions and spectroscopic factors of several excited states in these mirror pairs will be presented.