Expansion of the nuclear charge radius increases with the number of neutrons added to the nucleus
15 November 2024
JOINT PRESS RELEASE OF GSI HELMHOLTZZENTRUM FÜR SCHWERIONENFORSCHUNG, THE HELMHOLTZ INSTITUTE MAINZ, AND JOHANNES GUTENBERG UNIVERSITY MAINZ
Where does the periodic table of chemical elements end and which processes lead to the existence of heavy elements? An international research team reports on experiments performed at the GSI/FAIR accelerator facility and at Johannes Gutenberg University Mainz (JGU) to come closer to an answer to this question. They gained insight into the structure of atomic nuclei of fermium (element 100) with different numbers of neutrons. Using forefront laser spectroscopy techniques, they traced the evolution of the nuclear charge radius and found a steady increase as neutrons were added to the nuclei. This indicates that localized nuclear shell effects have a reduced influence on the nuclear charge radius in these heavy nuclei. The results were published in Nature.
Using laser spectroscopy to analyze changes in the atomic structure
Elements beyond uranium (element 92), like – for example – fermium (element 100), do not occur naturally in the Earth's crust. To be studied, they must be produced artificially. They bridge from the heaviest naturally occurring elements to the so-called superheavy elements, which start at element 104. Superheavy elements owe their existence to stabilizing quantum mechanical shell effects, which add about two thousandths of the total nuclear binding energy. Albeit a small contribution, it is decisive in counteracting the repelling forces between the many positively charged protons.
Quantum mechanical effects induced by the building blocks of atomic nuclei, i.e., the protons and neutrons which together make up the nucleus, are explained by the nuclear shell model. Similar to atoms, where filled electron shells lead to chemical stability and inertness, nuclei with filled nuclear shells – containing so-called "magic" numbers of protons/neutrons – exhibit an increased stability. Consequently, their nuclear binding energies and their lifetimes increase. In lighter nuclei, filled nuclear shells are known to also influence trends in the nuclear charge radii.
Using laser spectroscopy methods, subtle changes in the atomic structure can be analyzed, which in turn provide information about nuclear properties such as the nuclear charge radius, i.e., the distribution of protons in the atomic nucleus. Studies of several atomic nuclei of the same element, but with different neutron numbers, have revealed a steady increase in this radius, unless a magic number is crossed. At this point, the researchers observed a kink as the slope of the radial increase changes at the shell closure. This effect was found for lighter, spherical atomic nuclei up to lead.
New insight into the nuclear structure of heavy nuclei
"Using a laser-based method, we investigated fermium atomic nuclei with 100 protons, but between 145 and 157 neutrons. Specifically, we studied the influence of quantum mechanical shell effects on the size of the atomic nuclei. This allowed shedding light on the structure of these nuclei in the range around the known shell effect at neutron number 152 from a new perspective," explained Dr. Sebastian Raeder, the spokesperson of the experiment at GSI/FAIR. "At this neutron number, the signature of a neutron shell closure was previously observed in trends of the nuclear binding energy. The strength of the shell effect was measured by high-precision mass measurements at GSI/FAIR in 2012. As mass is equivalent to energy according to Einstein, these mass measurements gave hints about the extra binding energy that the shell effect provides. Atomic nuclei around neutron number 152 are an ideal testbench for deeper studies, as they happen to be shaped more like a rugby-ball than spherical. This deformation allows the many protons in their nuclei to be further apart than in a spherical nucleus."
For the current measurements, an international collaboration of 27 institutes from seven countries examined fermium isotopes with lifetimes ranging from a few seconds to a hundred days, using different methods for producing the fermium isotopes and by methodological developments in the applied laser spectroscopy techniques. The short-lived isotopes were produced at the GSI/FAIR accelerator facility, with only a few atoms per minute being available for the experiments in some cases. To probe them, a tailored laser spectroscopy method was used which researchers had developed a few years ago for measurements on nobelium isotopes. The produced nuclei were stopped in argon gas and picked up electrons to form neutral atoms, which were then probed by laser light.
The neutron-rich, long-lived fermium isotopes fermium-255 and fermium-257 were produced in picogram amounts at Oak Ridge National Laboratory in Oak Ridge, USA, and at Institut Laue-Langevin in Grenoble in France. To extract the small amounts of fermium from the samples, a radiochemical separation was carried out at the TRIGA site of the JGU Department of Chemistry under the direction of Professor Christoph Düllmann. The samples were then taken to the JGU Institute of Physics nearby to be evaporated in vacuum at the RISIKO mass separator of the LARISSA group headed by Professor Klaus. Wendt and examined using laser resonance ionization spectroscopy. Thanks to the close collaboration and short distances between the participating institutes at Mainz University and the Helmholtz Institute Mainz, the researchers were able to study fermium-255 with a half-life of only 20 hours.
Laser light of a suitable wavelength lifts an electron in the fermium atom to a higher-lying orbital before it removes the electron from the atom altogether, forming a fermium ion which can be detected efficiently. The exact energy required for this stepwise ion-formation process varies with neutron number. The researchers measured this small change in excitation energy to obtain information about the change in size of the atomic nuclei.
Macroscopic properties dominate
The investigations provided insight into the changes of the nuclear charge radius in fermium isotopes across the neutron number 152 and showed a steady, uniform increase. The comparison of the experimental data with various calculations performed by international collaboration partners using modern theoretical nuclear physics models allows an interpretation of the underlying physical effects. Despite different calculation methods, all models were found to be in good agreement with each other as well as with the experimental data.
"Our experimental results and their interpretation with modern theoretical methods show that nuclear shell effects have a reduced influence on the nuclear charge radii in the fermium nuclei, in contrast to the strong influence on the binding energies of these nuclei," said Dr. Jessica Warbinek, doctoral student at GSI/FAIR and JGU at the time of the experiments and first author of the publication. "The results confirm theoretical predictions that local shell effects, which are due to few individual neutrons and protons, lose influence when the nuclear mass increases. Instead, effects dominate that are to be attributed to the full ensemble of all nucleons, with the nuclei rather seen as a charged liquid drop."
The experimental improvements of the method pave the way to further laser spectroscopic studies of heavy elements in the region around and beyond neutron number 152 and represent a step towards a better understanding of stabilization processes in heavy and superheavy elements. Ongoing developments hold the promise that future studies will be able to also reveal weak effects of nuclear shell structure, which are at the heart of the existence of the heaviest known elements.