Lambda(1405) as a multiquark state

Abstract

In the QCD sum rule approach we predict the $Λ$ (1405) mass by choosing the $π^0Σ^0$ multiquark interpolating field. It is found that the mass is about 1.419 GeV from $Π_1 (q^2)$ sum rule which is more reliable than $Π_q (q^2)$ sum rule, where $Π_q (q^2)$ and $Π_1 (q^2)$ are two invariant functions of the correlator $Π(q^2)$. We also present the sum rules for the $K^+ p$ and the $π^+Σ^+$ multiquark states, and compare to those for the $π^0Σ^0$ multiquark state. The mass of the $Λ$ (1600) can be also reproduced in our approach.