Observing the effects of numbers of valence nucleons on transitions in deformed nuclei by comparing proton and neutron transition matrix elements
P. D. Cottle🇺🇸 · L. A. Riley🇺🇸 · A. Gade🇺🇸 · K. W. Kemper🇺🇸 · M. Spieker🇺🇸
We examined the ratios of neutron and proton transition matrix elements, , for the transitions in 48 even-even stable nuclei with for which electromagnetic matrix elements were compiled by Pritychenko \textit{et al.} and for which high-quality inelastic proton scattering data were available. Several deformed rare earth nuclei have values significantly below 1.0, which is not consistent with a simple liquid drop picture. However, this phenomenon can be explained using a schematic picture in which reaches a maximum at proton mid-shell () and reaches its maximum at neutron mid-shell (). Several mid-mass vibrational nuclei have values significantly below , which is not consistent with the expectation that in such nuclei. A shell model investigation of these observations might yield insights about this behavior.