Peter Schury edited section_Experimental_goals_We_have__.tex  over 8 years ago

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In the region we desire to study there are 23 nuclei with isomeric states of $T_{1/2}\gg$1~ms. Among these only six isomeric states have been identified by detection of $\gamma$-rays from internal transition. In 15 cases, the isomeric states have been inferred from detection of multiple $\alpha$-decays energies. In the remaining cases, the isomer is presumed to exist due to largely differeing half-life measurements. Among the inferred isomers, there are six cases where the measured half-lives of ground state and isomeric state are within 2$\sigma$ of eachother. We believe that there is a reasonable possibility that in at least some cases, the isomeric state may be incorrectly inferred from decay to an excited state in the daughter nucleus. By directly observing these isomeric states in a mass spectrum, we could unambiguously confirm their existence.  \subsection{Determination of isomeric production ratios}  The large number isomeric states known to exist in this region provide us with a special means to investigate the nuclear structure in this region. It is generally understood that direct production (e.g. by complete fusion) of nuclei can be na\"{i}vely understood, to first-order, to populate isomeric states with a probability proportional to $(2J_m+1)(2J_g+1)$ $(2J_m+1)/(2J_g+1)$  \cite{Kulko_2007}, where $J_m$ and $J_g$ are the spin of the isomer and ground state, respectively. Historically, studies of isomeric ratios \cite{Bowry_2013, de_Jong_1997, Kulko_2007} have measured the decay of isomeric and ground states to infer the relative populations. While such studies are the only means to address short-lived ($T_{1/2}\ll$1~ms) isomeric states, they require corrections for detector efficiencies, et cetera. By direct mass measurements, we will determine the production ratios without need for such corrections. This will allow us to probe the spins of ground and isomeric states in these nuclei.