Spectroscopic information from theBe9(Li7,He6)B10andBe9(Li7,Li6)Be10reactions

Abstract

Elastic scattering of $^{7}\mathrm{Li}$ + $^{9}\mathrm{Be}$ and $^{6}\mathrm{Li}$ + $^{10}\mathrm{B}$ has been measured at $E(^{7}\mathrm{Li})=34$ MeV and $E(^{6}\mathrm{Li})=30$ MeV and the data have been described with the standard optical model. Both $^{9}\mathrm{Be}$($^{7}\mathrm{Li}$,$^{6}\mathrm{He}$) and $^{9}\mathrm{Be}$($^{7}\mathrm{Li}$,$^{6}\mathrm{Li}$) reaction data were measured. Extreme forward angle ($^{7}\mathrm{Li}$,$^{6}\mathrm{He}$) data were taken so that the $j$ transfer ($\frac{3}{2}$ or \textonehalf{}) to the first two ${1}^{+}$ states in $^{10}\mathrm{B}$ could be determined. Both states were found to be populated predominantly by ${p}_{\frac{1}{2}}$ transfers. The absolute spectroscopic factors obtained are in good agreement with 35 MeV ($^{3}\mathrm{He}$, $d$) data, but not with 17 MeV data. Comparison between the spectroscopic factors obtained from the ($d, n$), ($^{3}\mathrm{He}$, $d$), and ($^{7}\mathrm{Li}$,$^{6}\mathrm{He}$) reactions shows a clear need for the energy dependence of these reactions to be understood before reliable absolute spectroscopic factors for $^{10}\mathrm{B}$ can be obtained. The ($^{7}\mathrm{Li}$,$^{6}\mathrm{Li}$) results were in good agreement with the calculations of Cohen and Kurath, in contrast to the ($^{7}\mathrm{Li}$,$^{6}\mathrm{He}$) results.NUCLEAR REACTIONS $^{7}\mathrm{Li}$ + $^{9}\mathrm{Be}$, 34 MeV; $^{6}\mathrm{Li}$ + $^{10}\mathrm{B}$, 30 MeV; measured $\ensuremath{\sigma}(\ensuremath{\theta})$; deduced optical model parameters. $^{9}\mathrm{Be}$($^{7}\mathrm{Li}$, $^{6}\mathrm{He}$)$^{10}\mathrm{B}$, 34 MeV; measured $\ensuremath{\sigma}(\ensuremath{\theta})$; deduced $j$ transfer; $^{9}\mathrm{Be}$($^{7}\mathrm{Li}$, $^{6}\mathrm{Li}$)$^{10}\mathrm{Be}$, 34 MeV; measured $\ensuremath{\sigma}(\ensuremath{\theta})$. Deduced $S(^{10}\mathrm{B})$ and $S(^{10}\mathrm{Be})$ from finite-range DWBA analysis.