Unraveling the Mysteries of Nuclear Magic Numbers: Insights from Machine Learning

Unraveling the Mysteries of Nuclear Magic Numbers: Insights from Machine Learning

The study of atomic nuclei, composed of protons and neutrons, has long fascinated physicists, primarily due to their complex behavior and the stability provided by specific configurations of these subatomic particles. The concept of “magic numbers,” discovered in the 1930s, denotes certain numbers of protons or neutrons that achieve notable stability—2, 8, 20, 28, 50, 82, and 126 being the most recognized. This stability alludes to a shell structure that has since formed the backbone of nuclear physics understanding. However, recent investigations suggest that these magic numbers may not be as rigid as once thought, particularly for nuclei existing far from the conventional stability line.

In a groundbreaking study published in **Physics Letters B**, an interdisciplinary research team, comprising experts from the Institute of Modern Physics (IMP) of the Chinese Academy of Sciences, Huzhou University, and the University of Paris-Saclay, harnessed cutting-edge machine learning methodologies to investigate the evolution of nuclear shell structures. Their focus was on the doubly magic nuclei, oxygen-28 and tin-100, pivotal isotopes for understanding nuclear stability and magic number phenomenology. Such advanced analytical techniques are becoming increasingly indispensable within nuclear physics, allowing for the interrogation of complex datasets with higher precision than traditional methods.

According to Associate Professor Lyu Bingfeng from IMP, understanding whether traditional magic numbers exist in unstable nuclei or if new magic numbers appear is crucial. These inquiries not only refine our understanding of atomic nuclei but also have the potential to unearth phenomena linked to new physics realms.

The team’s research yielded a compelling conclusion: the traditional neutron magic number of 20 appears to vanish in oxygen-28, while the magic number of 50 in tin-100 remains robust. Their rigorous approach incorporated not just the theoretical frameworks of existing nuclear models, but also a tailored utilization of modern machine learning algorithms. Wang Yongjia from Huzhou University emphasized the achievement: the study realized a high-precision mapping of experimental data regarding the low-lying excited states and electromagnetic transition probabilities of all even-even nuclei, outstripping all prior models and machine learning efforts.

These findings shed light on the plasticity of nuclear magic numbers—precious insights that could redefine existing nuclear physics paradigms. Such unexpected results underscore the varying stability conditions of isotopes that stray from the stability line, challenging the rigidity of previously held beliefs regarding nuclear structure.

The revelations from this study not only advance theoretical frameworks but also lay a foundation for future experimental endeavors. The research advocates for more extensive investigations into the low-lying excited states and electromagnetic transition properties of various atomic nuclei. As experimental measurements become increasingly sophisticated, particularly with the advent of rare-isotope facilities worldwide (such as the High Intensity Heavy-Ion Accelerator Facility in China), physicists are poised to deepen their understanding of nuclear behavior.

The ability to harness machine learning in this context offers unprecedented predictive power, which should facilitate the discovery of new isotopes and magic numbers. As the field evolves, the interplay between theoretical and experimental nuclear physics will likely become even more pronounced, leveraging such innovative computational techniques to push the boundaries of traditional nuclear models.

The investigation into the evolution of nuclear shell structures utilizing machine learning represents an exciting frontier in nuclear physics. The implications of the research findings are profound, prompting a reevaluation of existing concepts surrounding atomic stability and magic numbers. The insights gained from this study not only illuminate the intricate fabric of atomic nuclei but also beckon a future rich in exploration and discovery in the field of nuclear science. As researchers continue to marry theoretical frameworks with innovative computational methodologies, the pursuit of knowledge regarding the core elements of matter remains relentlessly dynamic.

Science

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