Europhys. Lett.
Volume 75, Number 4, August 2006
Page(s) 548 - 554
Section The physics of elementary particles and fields
Published online 14 July 2006
Europhys. Lett., 75 (4), pp. 548-554 (2006)
DOI: 10.1209/epl/i2006-10153-2

Mean-field baryon magnetic moments and sumrules

M. Bagchi, S. Daw, M. Dey and J. Dey

Department of Physics, Presidency College - Kolkata, India

received 16 May 2006; accepted 28 June 2006
published online 14 July 2006

New developments have spurred interest in magnetic moments ($\mu$'s) of baryons. The measurement of some of the decuplet $\mu$'s and the findings of new sumrules from various methods are partly responsible for this renewed interest. Our model, inspired by large colour approximation, is a relativistic self-consistent mean-field description with a modified Richardson potential and is used to describe the $\mu$'s and masses of all baryons with up (u), down (d) and strange (s) quarks. We have also checked the validity of the Franklin sumrule (referred to as CGSR in the literature) and sumrules of Luty, March-Russell and White. We found that our result for sumrules matches better with experiment than the non-relativistic quark model prediction. We have also seen that quark magnetic moments depend on the baryon to which they belong while the naive quark model expects them to be constant.

11.15.Pg - Expansions for large numbers of components (e.g., 1/Nc expansions).
11.55.Hx - Sum rules.
12.39.-x - Phenomenological quark models.

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