Short-Range Correlations and High-Energy Electron Scattering

Abstract

In recent calculations⁽¹⁾ it has been shown that the high momentum part of the nuclear form factors is very sensitive to the effects of the short-range dynamical correlations. Actually, the very recept experimental data⁽²⁾ on elastic electron scattering by ⁶Li and ¹⁶O can be explained (using harmonic oscillator wave functions) only by taking into account the effect of these correlations. However, Donnelly and Walker⁽³⁾ showed that the form factors are also very sensitive to which nuclear potential is used to generate the single particle wave functions. In this connection we have calculated the charge form factor of ¹⁶O describing this nucleus firstly with a Slater determinant composed of single particle orbitals generated in a Wood Saxon well, V(r)=V_o/{1+exp[(r-R)/a]}, with spin-orbit and Coulomb terms included, and secondly with the correlated Jastrow-type density of Ref.(1). In the first model, the C.M. motion effect has been carefully taken into account by performing the Gartenhaus-Schwartz transformation, i.e. using

$$F(q)=\frac{1}{Z}<\Psi |\sum\limits_{k-1}^{A}{{{\varepsilon }_{k}}{{e}^{i_{r}^{\to }({{\overset{\to }{\mathop{r}}\,}_{k}}-\frac{1}{A}\sum\limits_{\ell =1}^{A}{{{\overset{\to }{\mathop{r}}\,}_{\ell }}})}}}|\Psi >$$

(1)

.