Neutron Transition Densities of CALCIUM-48

We have measured cross sections and analyzing powers for ^{40,42,44,48}Ca and ^{32,34}S using the HRS spectrometer at LAMPF for 318 MeV protons. Measurements for ^{16}O and ^{40,42,44,48}Ca were made using the K600 spectrometer at IUCF for 100 and 200 MeV protons. The ^{48}Ca data were analyzed to obtain neutron transition densities for selected states. This analysis utilized empirical effective interactions previously fitted to inelastic scattering data for ^ {16}O and ^{40} Ca, and proton transition densities taken from previous (e,e^') data. The neutron transition densities were fitted to the 2_sp {1}{+} (3.832 MeV), 3 _sp{1}{-} (4.507 MeV), 3_sp{2}{-} (5.370 MeV), 4_sp{2}{+} (6.342 MeV), and 5_sp{1}{ -} (5.729 MeV) states of ^{48 }Ca at 200 and 318 MeV, both separately and simultaneously. The fitting procedure used general expansions which permit evaluation of uncertainties due to statistical and normalization errors, penetrability and distortion, and incompleteness in momentum space. The accuracy of the procedure was tested by comparing isoscalar densities fitted to (p,p^') data for ^{40}Ca with proton densities fitted to (e,e^') data. The neutron transition density results obtained for ^{48}Ca are shown to be independent of the probe energy. Those fitted separately to 200 and 318 MeV are consistent with each other and with the densities fitted to the two energies simultaneously. The results are in good agreement with the nuclear structure predictions of the ERPA model by Brand, Allaart, and Dickhoff.