Systematics of the (3He,p) reaction on some f-shell nuclei

Using the Argonne split-pole magnetic spectrograph, the ⁴³Ca(³He,p)⁴⁵Sc reaction was studied at E(³He)=17 MeV and with a range of angles from 7 to 55°. From the measured proton angular distributions the orbital angular momenta transferred (L_np) by the n-p pair were obtained. In addition, at the same bombarding energy and at several angles, cross sections for L_np=0 and 0+2 were measured for the (³He,p) reaction with ^46,phantomrule0ex0ex48,phantomrule0ex0ex50Ti and ⁴⁵Sc targets. For these and other f-shell nuclei, systematics of the cross sections for L_np=0 and the sum of the differential cross sections for L_np=0+2 will be discussed. In particular we found that for odd-A targets the L_np=0+2 sums are significantly smaller than the average for even-even f-shell targets. Two-particle spectroscopic amplitudes are calculated for transitions to ⁴⁴Sc, ⁴⁵Sc, ⁴⁶Sc, ⁴⁷Ti, ⁴⁸Sc, and ⁴⁸V using an (f₇/₂)ⁿ model and for transitions to ⁴⁴Sc, ⁴⁵Sc, ⁴⁶Sc, and ⁴⁸Sc using an (f₇/₂p₃/₂)ⁿ model. Both models are based on an inert ⁴⁰Ca core. Zero-range distorted-wave Born-approximations calculations are then performed with these amplitudes. Reasonable agreement is found for the ratio of L_np=0+2 to L_np=0 strength with both models.NUCLEAR REACTIONS ⁴³Ca(³He,p), ⁴⁵Sc(³He,p), ⁴⁶,⁴⁸,⁵⁰Ti(³He,p), E=17 MeV; measured energy levels, σ(θ). Systematics of σ(θ) for L_np=0 and 0+2. Shell-model calculations.