Abstract
QCD sum rules for the 70-plet baryons are proposed, using unitary pattern of these rules. As it was previously shown, all correlators of QCD sum rules for the 56-plet depend only on two generalized functions of the F and D types, characteristic for the unitary symmetry. The same is shown to be valid for the 70-plet baryons.
Highlights
Magnetic moments of the octet 1/2− baryons attracted some attention recently in quark models as well as in the QCD sum rule formalism
In a series of papers we have shown that QCD sum rules for couplings and magnetic moments of the octet 1/2+ baryons reproduce unitary symmetry results in terms of F and D quantities ([5] and references therein)
We propose a way to arrive at the desired QCD sum rules in accord with the nonrelativistic 56-plet quark model (NRQM) limit [11] with the help of quark-diquark model which has led previously to Eq(3)
Summary
Magnetic moments of the octet 1/2− baryons attracted some attention recently in quark models as well as in the QCD sum rule formalism. In a series of papers we have shown that QCD sum rules for couplings and magnetic moments of the octet 1/2+ baryons reproduce unitary symmetry results in terms of F and D quantities ([5] and references therein). In the limit of degenerated masses of quarks and vacuum expectation values (vev) it reduces to the relation [7]: μΣ0 = (eu + ed)F + es(D − F) Note that this relation goes to the NRQM formula with F = 2/3 and D = 1 and eq → μq, and from the other side it reproduces the unitary formula by putting values of eq’s for all octet baryons but Λ. The Λ quantities are reproduced with our relation [8]
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