Physics Division Research Highlights

Quenching of cross sections in nucleon transfer reactions

Maria Goeppert-Mayer, working at Argonne, invented the Shell Model for which she received the Nobel Prize in 1963. She realized that nuclei could be represented as protons and neutrons moving as independent particles in shells within an average potential. This model worked remarkably well for over fifty years, but it does have its limits. Recent work by Argonne scientists has explored the limitations of this ‘single-particle’ description by precision measurements of nucleon-adding and -removing reactions. They found that, remarkably, the quenching of single-particle motion arising from correlations with other nucleons is a quantitatively uniform feature of nuclei.  Regardless of the type of nucleon transfer reaction, mass of the target nucleus, or other variables such as angular momentum transfer and binding energy, the degree to which single-particle motion in nuclei is quenched is by a factor of 0.55 [1].

In the early 1990s, studies using the lepton-induced (e,e'p) proton-knockout reaction concluded that single-particle motion in nuclei was quenched. Questions remained as to how universal this behavior was and whether it could be reliably deduced using hadronic probes such as nucleon-adding and -removing reactions. In recent years, scientists in the Physics Division have studied several localized groups of isotopes using a variety of nucleon transfer reactions where either protons or neutrons are added to, or removed from, a target nucleus. From the measured cross sections, the degree to which the neutrons or protons occupy shells with different quantum configurations can be determined using a well-understood formulism. These studies led to the development of a prescription to quantitatively determine the summed single-particle strength consistently among different systems and reactions.

This prescription was used to perform consistent analyses of a large body of transfer reaction data. Across the >100 cases studied, it was found that the summed single-particle strength always falls short of the single-particle limit by a factor of 0.55. It seems to be a modification of the nuclear medium, and not related to quantum configurations of the nucleons or their binding. However, interesting questions still remain as to whether this seemingly universal feature of the nuclear medium holds true for the most exotic, loosely bound nuclei, which are likely to be studied in the next decade.


[1] B. P. Kay, J. P. Schiffer, and S. J. Freeman, Phys. Rev. Lett. 111, 042502 (2013) (arXiv:1307.1178)


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