Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-11-15
Prog.Part.Nucl.Phys.55:350-373,2005
Physics
High Energy Physics
High Energy Physics - Phenomenology
24 pages, 2 figures, To be published in Prog.Part. Nucl. Phys
Scientific paper
10.1016/j.ppnp.2005.01.028
After a quick look at the present status of experiments we shortly review in a first step the ongoing discussions on some of the basic theoretical approaches to pentaquarks: Chiral solitons, Large-$N_c$ considerations, quark models, and lattice gauge approaches. In a second step we apply the chiral quark-soliton approach including linear $m_s$-corrections to the calculation of magnetic moments of the baryons of the anti-decuplet. In this approach the parameters are fixed solely by experimental data for the magnetic moments of the baryon octet and for the masses of the octet, decuplet and of $\Theta^{+}$. The magnetic moment of $\Theta^{+}$ depends rather strongly on the pion-nucleon sigma term and reads $-1.19 {\rm n.m.}$ to $-0.33 {\rm n.m.}$ for $\Sigma_{\pi N} = 45$ and 75 MeV respectively. As a byproduct the strange magnetic moment of the nucleon is obtained with a value of $\mu^{(s)}_N =+0.39$ n.m.
Goeke Klaus
Kim Hyun-Chul
Praszałowicz Michał
Yang Ghil-Seok
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