Abstract

The intricate tapestry of the universe is woven from the interplay of elementary particles and the fundamental forces governing their interactions. Phenomena at all scales, from the subatomic realm of quarks and leptons to the grand structures of galaxies, are ultimately manifestations of these interactions. While the Standard Model of particle physics offers a robust framework for describing the most basic processes, the pathways from these elementary interactions to the emergence of stable nuclei, complex elements, and ultimately, life, remains a profound and unresolved challenge. Pivotal to bridging this gap is the development of effective theoretical models that can accurately characterize the forces between composite particles, such as atom ic nuclei, which are themselves complex, many-body quantum systems. This paper rigorously examines the Ali-Bodmer potential-a seminal, phenomenological model introduced in 1965 to describe the interaction between alpha particles. By systematically analyzing its mathematical structure and success in reproducing experimental scattering data, we elucidate the model's central role as a "folding model," which conceptually simplifies complex many-body interactions into a more tractable two-body potential. The enduring impact of the Ali-Bodmer potential is further highlighted through its diverse applications in the study of nuclear systems and astrophysical processes, such as the triple-alpha process responsible for forging carbon in stars. By trac ing the legacy of this foundational model, we connect the historical evolution of theoretical nuclear physics to contemporary frontiers in quantum science, demonstrating the profound and far-reaching consequences of elementary particle interactions, from the formation of matter to the very principles of quantum entanglement that underpin the rapidly developing field of quantum computing.

DOI: doi.org/10.63721/26JPQN0149

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