Baryon Magnetic Moments in a Simultaneous Expansion in $1/N$ and $m_s$

Details Baryon Magnetic Moments in a Simultaneous Expansion in $1/N$ and $m_s$ Baryon Magnetic Moments in a Simultaneous Expansion in $1/N$ and $m_s$

1994-05-12

arxiv.org/abs/hep-ph/9405272v1

Phys.Rev.D51:2332-2337,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, plain TeX, 1 uuencoded postscript figure, LBL-35598, CfPA-94-TH-25

Scientific paper

10.1103/PhysRevD.51.2332

We consider the baryon octet and decuplet magnetic moments in a simultaneous expansion in $m_s$ and $1/N$ taking $N_F / N \sim 1$, where $N$ is the number of QCD colors and $N_F$ is the number of light quark flavors. At leading order in this expansion, the magnetic moments obey the non-relativistic quark-model relations. We compute corrections to these relations using an effective lagrangian formalism which respects chiral symmetry to all orders in the $1/N$ expansion. Including corrections up to order $m_s^{1/2}$, we find 8 relations among the 9 measured octet and decuplet magnetic moments; including corrections up to order $1/N$ and $m_s$, we find 4 remaining relations. The relations work well, and suggest that the expansion is under control. We give predictions for the unmeasured decuplet magnetic moments.

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