High precision mass measurements of the isomeric and ground states of $^{44}$V: improving constraints on the IMME parameters of the A=44, $\text{0}^{\text{+}}$ quintet

The quadratic Isobaric Multiplet Mass Equation (IMME) has been very successful at predicting the masses of isobaric analogue states in the same multiplet, while its coefficients are known to follow specific trends as functions of mass number. The $b$ and $c$ coefficients can provide useful constraints for construction of the isospin-nonconserving (INC) Hamiltonians for the $pf$ shell. In addition, the excitation energy of the $0^+, T=2$ level in $^{44}$V is currently unknown. The aim of the experimental campaign was to perform high-precision mass measurements to resolve the difference between $^{44}$V isomeric and ground states, to test the IMME using the new ground state mass value and to provide necessary ingredients for the future identification of the $0^+$, $T=2$ state in $^{44}$V. High-precision Penning trap mass spectrometry was performed at LEBIT, to measure the cyclotron frequency ratios of [$^{44g,m}$VO]$^+$ versus [$^{32}$SCO]$^+$, to extract both the isomeric and ground state masses of $^{44}$V. The mass excess of the ground and isomeric states in $^{44}$V were measured to be $-23\ 804.9(80)$ keV/$\text{c}^2$ and $-23\ 537(5)$ keV/$\text{c}^2$, respectively. This yielded a new proton separation energy of $S_p$ = $1\ 773(10)$ keV. The new values of the ground state and isomeric state masses of $^{44}$V have been used to deduce the IMME $b$ and $c$-coefficients of the lowest $2^+$ and $6^+$ triplets in $A=44$. The $2^+$ $c$ coefficient now verified with the IMME trend for lowest multiplets and is in good agreement with the shell-model predictions using charge-dependent Hamiltonians. The mirror energy differences were determined between $^{44}$V and $^{44}$Sc. The new value of the proton separation energy determined will be important for the determination of the $0^+$, $T=2$ state in $^{44}$V and, consequently, for prediction of the mass excess of $^{44}$Cr.