Isobaric Analogue States in Heavy Nuclei. I. Molybdenum Isotopes

Abstract

Isobaric analogue states observed as compound-nucleus resonances in proton elastic scattering and ($p, n$) reactions have been studied using the target isotopes ${\mathrm{Mo}}^{92}$, ${\mathrm{Mo}}^{94}$, ${\mathrm{Mo}}^{95}$, ${\mathrm{Mo}}^{96}$, ${\mathrm{Mo}}^{97}$, ${\mathrm{Mo}}^{98}$, and ${\mathrm{Mo}}^{100}$. The observed resonances which occur at high excitations in the target-plus-proton system have been analyzed using a Coulomb-plus-single-level formula. The spectroscopic information for these resonances is compared with the analogue states in the target-plus-neutron system as observed in ($d, p$) reactions on the same targets. Level separations $l$-value determinations and corresponding spectroscopic factors show remarkable agreement with the ($d, p$) data. A survey of the experimentally determined Coulomb displacement energies ($\ensuremath{\Delta}{E}_{c}$) has been performed via the relation $\ensuremath{\Delta}{E}_{c}=C\frac{Z}{{A}^{\frac{1}{3}}}$. It is found that $C$ is fairly constant for all the molybdenum isotopes.