Abstract
| Accounting for the appearance of new magic numbers represents an exacting test for nuclear models. Binding energies offer a clear signature for the presence (or disappearance) of shell closures. To determine the strength of the purported N = 32 shell closure, we propose using the Penning-trap spectrometer ISOLTRAP for mass measurements of N = 34 isotones $^{58}$Cr (Z = 24), $^{55}$Sc (Z = 21) and $^{54}$Ca (Z = 20), as well as the N = 32 isotones $^{53}$Sc and $^{52}$Ca. We also propose measuring the mass of $^{60}$Cr to test the shell model prediction of a new magic number at N = 34. In addition to the Penning-trap system at ISOLTRAP, we intend to use the newly commissioned multi-reflection time-of-flight mass separator, which enables direct mass measurements on nuclei with half-lives below 50 ms. |