Quadrupolar contact terms and Hyperfine Structure

Details Quadrupolar contact terms and Hyperfine Structure Quadrupolar contact terms and Hyperfine Structure

2006-02-13

arxiv.org/abs/hep-ph/0602105v2

Phys.Rev.C74:024001,2006; Erratum-ibid.C77:039901,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages; two sentences deleted from first version

Scientific paper

10.1103/PhysRevC.74.024001

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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