Nonstatic Relations between Magnetic Moments in the Quark Model

Abstract

Relations between baryon magnetic moments are derived which are independent of orbital corrections, relativistic corrections, and two-body exchange corrections (and generally any two-body correction) in the quark model, provided that the wave-function contributions leading to these corrections are SZ7^-symmetric. Among the relations derived are M(S~)+3/I(S°) = 6/X(A)+2JU(S + )-3fi(p)-/*(») (independent of quark moments) and ju (S°) -M (E~) = M (p)+2/x (n) (if Mf l > = -2/*^).

Strange magnetic moment of the nucleon and SU(3) breaking: Group theoretical approach

“…The first relation of isovector (12) and the isoscalar relation (13) were also obtained in Refs. [20] and [18], respectively. The relations (12), (13) are satisfied at the 10% accuracy level.…”

Phenomenological quark model for baryon magnetic moments and beta decay ratios(GA/GV)

“…These non-static effects must break SU(3) symmetry if they are to improve the agreement of magnetic moment predictions with experiment. This can be seen from the disagreement with experiment of the sum rules [4] µ(p) − µ(n) + µ(Σ − ) − µ(Σ + ) + µ(Ξ 0 ) − µ(Ξ − ) = 0 (0.49 ± .05)…”

Octet baryon magnetic moments in the chiral quark model with configuration mixing

“…Experimentally, this sum-rule is violated by ten standard deviations, the left hand side being equal to (0.49 ± 0.05) µ N . Franklin [12,13] and Karl [14] have shown that the Coleman-Glashow sum-rule is valid beyond the NQM. Franklin noted the validity of this sum-rule under the assumption of "baryon independence" of a given quark moment contribution.…”