Analysis of Proton Scattering fromZr92andZr94at 19.4 MeV

Abstract

Elastic and inelastic angular distributions for 19.4-MeV protons scattered from ${\mathrm{Zr}}^{92}$ and ${\mathrm{Zr}}^{94}$ were measured. Several deuteron and triton groups from the ($p,d$) and ($p,t$) reaction were observed and angular distributions obtained. The inelastic distributions were analyzed using the real and complex collective-model form factor to obtain level-structure information. Angular distributions for several states of ${\mathrm{Zr}}^{92}$ and ${\mathrm{Zr}}^{94}$ were compared with distorted-wave calculations using shell-model wave functions for the initial and final nuclear states. An effective internucleon potential, which was found from the analysis of proton scattering from ${\mathrm{Zr}}^{90}$, was used, and consisted of a Yukawa potential with a range of 1 F and a depth of approximately 200 MeV. This model was successful in predicting the magnitude and shape for the ${\mathrm{Zr}}^{92}$ and ${\mathrm{Zr}}^{94}$ cross sections for states having the ${\left(d_{\frac{5}{2}}\right)}^2$ and ($d_{\frac{5}{2}}{d}_{\frac{3}{2}}$) configurations in ${\mathrm{Zr}}^{92}$ and the ${\left(d_{\frac{5}{2}}\right)}^{-2\mathrm{}}$ configuration in ${\mathrm{Zr}}^{94}$.