arXiv · hep-ph/0602105
Quadrupolar contact terms and Hyperfine Structure
Abstract
In the interaction of two electric quadrupoles, there is at short distances a contact term proportional to the second derivative of a delta function. This contact term contributes to the hyperfine splitting of bound states of two particles with spin one or higher-for example the bound states of Omega minus and a nucleus of spin one.The contact hyperfine splitting occurs in states with orbital angular momentum one(p-wave), in contrast to the Fermi contact interaction which is in s-states.We find that these contact splittings will be observable with Omega minus atoms and help measure the quadrupole moment and charge radius of the hyperon.
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G. Karl, V. A. Novikov. 2006-04-06. Quadrupolar contact terms and Hyperfine Structure. https://doi.org/10.1103/physrevc.74.024001%2010.1103%2Fphysrevc.77.039901
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