Quadrupolar contact terms and hyperfine structure

Feb, 2006
19 pages
Published in:
  • Phys.Rev.C 74 (2006) 024001,
  • Phys.Rev.C 77 (2008) 039901 (erratum)
e-Print:

Citations per year

20072010201320162019210
Abstract: (arXiv)
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.
Note:
  • 19 pages; two sentences deleted from first version
  • 13.40.Em
  • 25.80.Pw
  • 32.10.Fn
  • 41.20.-q
  • hyperon nucleus: bound state
  • atom: exotic
  • Omega-: hyperonic atom
  • energy levels: hyperfine structure
  • angular momentum: 1
  • electromagnetic interaction