Investigation of the ²³Na(p,γ)²⁴Mg and ²³Na(p,α)²⁰Ne reactions via (³He,d) spectroscopy

States near the ²³Na+p threshold in ²⁴Mg were investigated using the ²³Na(³He,d)²⁴Mg reaction over the angular range of 5°⩽θ_lab⩽35° at E(³He)=20 MeV. Spectroscopic factors were extracted for states corresponding to resonances in the ²³Na(p,γ)²⁴Mg and ²³Na(p,α)²⁰Ne reactions. We find that one state, corresponding to a previously unobserved resonance at E_c.m.=138 keV, may make a significant contribution to the rates of both reactions at low temperatures. Another state, corresponding to a possible resonance at E_c.m.=37 keV may make a small contribution to the ²³Na(p,α)²⁰Ne reaction. New rates for the ²³Na(p,γ)²⁴Mg and ²³Na(p,α)²⁰Ne reactions are presented and the astrophysical implications are discussed.