Mean-field baryon magnetic moments and sumrulesM. 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 ('s) of baryons. The measurement of some of the decuplet '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 '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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