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Chapter 11
Some applications to baryon spectroscopy

In this chapter, we discuss some applications of accurate three-body calculations to baryon spectroscopy. The selection is rather arbitrary: we come back on the Gell-Mann–Okubo mass formula and compute the quadrupole moment of the Ω−, for instance, but do not discuss the magnetic moments. Anyhow, it is interesting to test how far one can push the NRQM to describe the baryon properties. We shall use the handy notations

[q1q2q3] = binding energy of q1,q2,q3 , (q1q2q3) = mass of the baryon , (q1q2q3) = m1 + m2 + m3 + [q1q2q3] .
(11.1)

 11.1 Ground-state baryons with central potentials
 11.2 Systematics of hyperfine splittings
 11.3 Hyperfine splitting of heavy baryons
 11.4 Electromagnetic mass differences
 11.5 The charge radius of the neutron
 11.6 The quadrupole moment of the Omega
 11.7 Outlook
 Acknowledgements

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