Resonating group method as applied to the spectroscopy ofα-transfer reactions

Abstract

In the conventional approach to $\ensuremath{\alpha}$-transfer reactions the finite- and/or zero-range distorted-wave Born approximation is used in liaison with a macroscopic description of the captured $\ensuremath{\alpha}$ particle in the residual nucleus. Here the specific example of $^{16}\mathrm{O}$($^{6}\mathrm{Li}$,d)$^{20}\mathrm{Ne}$ reactions at different projectile energies is taken to present a microscopic resonating group method analysis of the $\ensuremath{\alpha}$ particle in the final nucleus (for the reaction part the simple zero-range distorted-wave Born approximation is employed). In the discussion of suitable nucleon-nucleon interactions, force number one of the effective interactions presented by Volkov is shown to be most appropriate for the system considered. Application of the continuous analog of Newton's method to the evaluation of the resonating group method equations yields an increased accuracy with respect to traditional methods. The resonating group method description induces only minor changes in the structures of the angular distributions, but it does serve its purpose in yielding reliable and consistent spectroscopic information.NUCLEAR STRUCTURE $^{16}\mathrm{O}$($^{6}\mathrm{Li}$,d)$^{20}\mathrm{Ne}$; $E=20 \mathrm{to} 32$ MeV; calculated $B(E2)$; reduced widths, $\frac{d\ensuremath{\sigma}}{d\ensuremath{\Omega}}$; extracted $\ensuremath{\alpha}$-spectroscopic factors. ZRDWBA with microscope RGM description of residual $\ensuremath{\alpha}$ particle in $^{20}\mathrm{Ne}$; application of continuous analog of Newton's method; tested and applied Volkov force No. 1; direct mechanism.