A groundbreaking study has shed light on the origins of magic numbers in nuclear physics, revealing how these special numbers arise from the intricate interplay of nuclear particles and forces. These magic numbers, first identified by physicist Maria Goeppert Mayer nearly 80 years ago, signify certain combinations of protons and neutrons in the atomic nucleus that result in exceptional stability.
Over the years, researchers have uncovered more of these magic numbers, which are associated with the most stable and abundant elements in the universe. The traditional shell model of the nucleus, proposed by Goeppert Mayer and her contemporaries, treats protons and neutrons as occupying discrete energy levels or shells. However, this model does not account for the strong interactions between particles within the nucleus.
A team led by Jiangming Yao at Sun Yat-sen University in China has now bridged this gap by delving into the quantum interactions of nuclear particles from first principles. Instead of relying on experimental input, Yao and his colleagues mathematically described the interactions between particles, their cohesion, and the energy required to separate them in detail.
By transitioning from a high-resolution description of particle interactions to a blurrier one, the researchers observed a change in the symmetry of quantum states of the particles. This change in symmetry led to the emergence of magic numbers as the most stable configurations of nuclear structure. The study offers a theoretical lens that parallels experimental observations, providing insights into how nature appears at different resolutions.
The change in symmetry identified by the researchers is linked to effects predicted by Albert Einstein’s theory of special relativity, offering a comprehensive understanding of how magic numbers intertwine various aspects of nuclear theory. The team validated their findings on tin nuclei with 50 protons and 82 neutrons, known as doubly magic nuclei, and aims to expand their analysis to heavier atomic nuclei in the future.
This research not only advances our understanding of nuclear physics but also holds implications for the study of processes like nucleosynthesis in exploding stars or merging neutron stars. By unraveling the complex dynamics of nuclear particles and forces, the study paves the way for further discoveries in the realm of nuclear physics.
