Abstract
New unitary symmetry relations are obtained between the QCD sum rules for ΣΛ transitions. Also for QCD SR’s with baryon distribution amplitudes the unitary relations are constructed, proved in a simple quark model and found to be consistent with the existing calculations.
Highlights
QCD sum rules (QCD SR’s) introduced by [1, 2] have become one of the most important tools while studying baryon or meson couplings and the corresponding form factors with photons, mesons or baryons
Our formulas seem to be useful and for example they were inserted into the codes by Lai Wang and Frank Lee while studying magnetic moments of the octet baryons [4]
One can see that every two lines as to the quark flavors are of the form u ds + sdu− sud − dus Canceling identical terms in the full expression, we obtain
Summary
QCD sum rules (QCD SR’s) introduced by [1, 2] have become one of the most important tools while studying baryon or meson couplings and the corresponding form factors with photons, mesons or baryons. We have proposed simple relations between the quantities involving Σ hyperons and those involving Λ hyperons [3] They are generalized to any Σ-like and Λ -like baryons containing heavy quarks. We want here to propose one more relation to control the complex calculations of the transition Σ − Λ quantities which has the merit that it does not involve other baryon quantities, neither of Σ nor of Λ baryons. Our new relation between the corresponding correlation functions reads as ΠΛΣ0(u↔s) + ΠΛΣ0(d↔s) = ΠΛΣ0.
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