Recoil corrections in heavy-ion-induced transfer

A perturbative approach for rapid calculation of recoil corrections to heavy-ion distorted- wave Born approximation has been developed. Without making either the local momentum approximation or the Hankel function approximation, we expand the final scattering wave function about r⃗_f=αr⃗ᵢ. We have modified the existing no-recoil code RDRC to include exactly the first-order term, allowing one to correct for both longitudinal and transverse recoil effects. Sample calculations have been performed, including an analytically solvable test case, plus the reactions ⁹⁴Mo(¹³C, ¹²C)⁹⁵Mo and ⁴⁸Ca(¹⁴N, ¹³C)⁴⁹Sc for which data have been taken and analyzed previously with RDRC. The relative α independence of the results argues strongly for convergence.[NUCLEAR REACTIONS ⁴⁸Ca(¹⁴N, ¹³C), E=30,50,70 MeV; ⁹⁴Mo(¹³C, ¹²C), E=48.5 MeV; calculated proper first-order recoil DWBA. Q, L, and α (scaling parameter) dependence of calculated σ.]