Simple Structure in Complex Nuclei

Atomic nuclei are finite many-body systems governed by the laws of quantum mechanics. The quest for a thorough understanding of the quantum structure of nuclei is far from finished, even after some seventy years of investigation, because such many-body quantum systems are so complex. In Physical Review Letters, Deyan Yordanov at the Max Planck Institute for Nuclear Physics, Germany, and co-workers report a clever laser spectroscopic study of cadmium isotopes that extends our confidence in one of the fundamental models of nuclear structure while emphasizing some of its surprisingly simple foundations [1]. In contrast to many experiments, their approach yields data in just the form you’d want for testing a model: they measure how a few properties change with a single parameter. This systematic investigation of long sequences of isotopes (constant proton number Z) or isotones (constant neutron number N) is a powerful line of enquiry. Such an approach reveals progressive changes in structure with changes of particle number. Moments, such as magnetic dipole and electric quadrupole, are fundamental properties of finite manyparticle quantum systems and they provide very exacting tests of models. Indeed, it was nuclear magnetic moment data available in the 1940s that contributed significantly to the inception of the nuclear shell model [2], and almost contemporaneously, nuclear quadrupole moment data led to the concept of a deformed nucleus [3–6]. Yet nature only furnishes a few hundred (stable) nuclei for experimental study. These are spread over all of the chemical elements, in small groups. But facilities for producing rare isotopes, which are now becoming a major focal point for nuclear physics research, can provide access to long chains (30 or more) of isotopes. These facilities use high-energy protons to spallate (from “to spall” meaning to flake off) nuclei from a heavy element. If the target is heavy, like uranium-238, the process can result in around 1000 different nuclei. The challenge is then to isolate the nuclear species of interest and deliver them to the experiment. In the study of Yordanov et al., isotopes of cadmium (atomic number Z = 48) spanning over twenty mass numbers (A = Z + N = 107 to 129) are isolated, one mass at a time, using a mass separator, and subjected to high-precision optical hyperfine spectroscopy. The production of the cadmium isotopes is by fission of 238U using high-energy protons at ISOLDE-CERN. The authors followed a sequence of ingenious steps to obtain their results. They first directed the highenergy protons onto a tungsten converter to produce large quantities of low-to-medium-energy neutrons that induce fission in the uranium target. While fission still leads to hundreds of different nuclei, they are predominantly neutron-rich, unlike spallation, which yields “everything.” The reaction products were separated by mass number and all combinations of Z + N with a fixed A are delivered to the experimental measurement device. A temperature-controlled quartz transfer line to the ion source selectively transported the cadmium isotopes, retaining isotopes of other chemical, i.e., Z, species until they decayed. The authors then used a laser to ionize the isotopes delivered to the ion source and injected the resulting ion beam into a so-called Paul trap [7]. Ions were intermittently extracted from the trap in short time bunches to enhance the signal-to-background ratio in the optical measurements. To study the atomic transitions in the cadmium ions, Yordanov et al. used deep-UV laser spectroscopy. To reach the deep-UV, fourth-harmonic generation of visible laser light was used. Essentially, this increased the sensitivity of the technique. (But, as noted by the authors, it also establishes a technique that could provide access to isotopic chains that were heretofore inaccessi-