Inelastic scatteringE4transition probabilities in the0d,1sshell

Theoretical $E4\mathrm{}$ transition matrix elements calculated in the full $d_{\frac{5}{2}}-s_{\frac{1}{2}}-d_{\frac{3}{2}}$ shell-model space are presented for excitations of some ground states of stable nuclei for $18\le A\le 38$. These matrix elements have been used to calculate inelastic transition probabilities for electromagnetic and hadronic probes. Available data on the relative magnitudes and energy distributions of $E4\mathrm{}$ excitation strengths are found to be well reproduced theoretically thereby. Based on several experimentally measured transition strengths, the empirical isoscalar $E4\mathrm{}$ effective charge is found to be $e_p+e_n=(2.0\mathrm{}\pm 0.2)e$. This is similar in magnitude to the analogous isoscalar $E2\mathrm{}$ effective charge, but is much larger than existing theoretical estimates.