Strategy to find the two $Λ(1405)$ states from lattice QCD simulations

Details Strategy to find the two $Λ(1405)$ states from lattice QCD simulations Strategy to find the two $Λ(1405)$ states from lattice QCD simulations

2012-02-20

arxiv.org/abs/1202.4297v1

Physics

High Energy Physics

High Energy Physics - Lattice

Scientific paper

Theoretical studies within the chiral unitary approach, and recent experiments, have provided evidence of the existence of two isoscalar states in the region of the $\Lambda(1405)$. In this paper we use the same chiral approach to generate energy levels in a finite box. In a second step, assuming that these energies correspond to lattice QCD results, we devise the best strategy of analysis to obtain the two states in the infinite volume case, with sufficient precision to distinguish them. We find out that using energy levels obtained with asymmetric boxes and/or with a moving frame, with reasonable errors in the energies, one has a successful scheme to get the two $\Lambda(1405)$ poles.

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