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As the masses of $^{244, 245}$Fm can be both simultaneously produced and measured, even with the current efficiency 24~hours of measurement can achieve a mass precision of 1~ppm for $^{245}$Fm and at the a precision of 3~ppm for $^{244}$Fm. As these nuclei presently have no measured mass value, direct or indirect, even this level of precision is useful.
\subsection{Isotopes to be produced with $^{48}$Ca beams}
As in our original proposal, we plan to utilize a $^{48}$Ca beam for production of Md, No and Lr isotopes near $N$=152. The isotopes we wish to study are shown in yellow in Fig.~\ref{figN152Isotopes}. Even with the efficiency seen thus far, for most of these isotopes we can make meaningful mass measurements within 1 week of machine
time. This will be discussed in more detail in time -- 1~day for tuning GARIS-II and the
following section. gas cell, 6~days for mass measurements. Based on our experience in commissioning experiments, we should be able to measure several of these isotopes simultaneously by using multiple types of targets in the target wheel. This will allow for some reduction in the requisite machine time and allow isotopes previously measured via Penning trap to be used as mass
references. references in some cases.
\begin{table}
\begin{tabular}{ c c c c c c }
...
\begin{table}
\begin{tabular}{ c c c c c}
Isotope & Target & \# of windows & Yield [day$^{-1}$] & $\delta m/m$
[72 [36 hours] \\
$^{256}$Lr& $^{209}$Bi & 8 & 64 & 7$\times 10^{-7}$\\
$^{255}$No& $^{208}$Pb & 4 & 137 & 5$\times 10^{-7}$\\
$^{255}$Lr& $^{209}$Bi & 8 & 457 & 2.5$\times 10^{-7}$\\
...
\begin{table}
\begin{tabular}{ c c c c c}
Isotope & Target & \# of windows & Yield [day$^{-1}$] & $\delta m/m$
[72 [36 hours] \\
$^{253}$No& $^{207}$Pb & 3 & 328 & 3$\times 10^{-7}$\\
$^{252}$No& $^{206}$Pb & 9 & 386 & 3$\times 10^{-7}$\\
$^{251}$No& $^{206}$Bi & 9 & 23 & 1.2$\times 10^{-6}$\\
...
\label{tabCaRun2}
\end{table}
In a third 2-day run, we would measure the isotopes $^{250-252}$Md simultaneously. With 72~hours of data accumulation, we anticipate $\delta m/m\lesssim10^{-7}$.
If the efficiency of the 2$^{nd}$ is considerably improved, we may include one window of $^{206}$Pb to allow use of $^{252}$No as a mass reference for $^{250-252}$Md.
\subsection{Isotopes to be produced with $^{50}$Ti beams}
Using the recently available $^{50}$Ti beam, with the demonstrated intensity of 500~pnA, we wish to study $^{256, 257}$Rf and $^{257, 258}$Db, shown in green in Fig.~\ref{figN152Isotopes}. The rates are sufficient, even with our present system efficiency, to make meaningful mass measurements of these four isotopes within 1 week of machine
time. This will be discussed in more detail in the following section. time -- 1~day for gas cell and GARIS-II tuning, 6~days for mass measurement. By using multiple types of targets in the target wheel, we will be able to measure all four of these isotopes simultaneously. This will somewhat reduce the requisite machine time and allow for increased precision in measurement of the mass differences among these isotopes.
The expected yields and mass precisions are shown in Table~\ref{tblTiBeam}, based on 6 windows of $^{208}$Pb and 6 windows of $^{209}$Bi. If the efficiency of the 2$^{nd}$ trap can be significantly improved, an alternative target configuration with more $^{209}$Bi may be used to enhance the mass precision of the Db isotopes.
\begin{table}
\begin{tabular}{ c c c c c c }
Reaction & $E_\mathrm{proj}$ [MeV] & $\sigma$ [nb] & reference & Rate [day$^{-1}$] & $\delta m/m$ [144 hrs] \\
$^{208}$Pb($^{50}$Ti,1n)$^{257}$Rf & 230 & 44 & & 18 & 7$\times 10^{-7}$ \\
$^{208}$Pb($^{50}$Ti,2n)$^{256}$Rf & 239 & 16 & & 7 & 1.1$\times 10^{-6}$ \\
\hline
$^{209}$Bi($^{50}$Ti,1n)$^{258}$Db & 234 & 5.5 & & 3 & 1.7$\times 10^{-6}$ \\
$^{209}$Bi($^{50}$Ti,1n)$^{257}$Db & 239 & 0.9 & & 0.5 & 4$\times 10^{-6}$ \\
\end{tabular}
\caption{Reactions with 500~pnA $^{50}$Ti beam. The rate refers to the rate at the MRTOF assuming current efficiency.}
\label{tblTiBeam}
\end{table}
\subsection{Isotopes to be produced with $^{54}$Cr beams}
A primary beam of $^{54}$Cr is currently under development at RILAC. While the available intensity is unknown at this point, if an intensity of 500~pnA were to be available we would be able to perform meaningful mass measurements of $^{260, 261}$Sg (shown in blue in Fig.~\ref{figN152Isotopes}) within 1 week of machine time even with the current system efficiency.
This will be discussed in more detail in the following section. These two isotopes, along with any p$x$n evaporation channels, will be able to be measured simultaneously.
\subsection{Isotopes to be produced with $^{14}$N, $^{15}$N, and $^{22}$Ne beams}
Using primary beams of N and Ne with actinide targets, we plan to measure No and Lr isotopes with $N>$153. These isotopes are shown in red and browns in Fig.~\ref{figN152Isotopes}. In order to make meaningful mass measurements in a reasonable time will require an improvement in the efficiency of recapturing ion pulses in the second trap. Among these isotopes, $^{256, 257}$No and $^{258-260}$Lr will each be able to be measured simultaneously.
