Studying the ρρ resonance parameters with staggered fermions

preprint2016arXivOpen access

Abstract

We deliver a lattice study of ρρ resonance parameters with p-wave ππππ scattering phases, which are extracted by finite-size methods at one center-of-mass frame and four moving frames for six MILC lattice ensembles with pion masses ranging from 346346 to 176 176 MeV. The effective range formula is applied to describe the scattering phases as a function of the energy covering the resonance region, this allows us to extract ρρ resonance parameters and to investigate the quark-mass dependence. Lattice studies with three flavors of the Asqtad-improved staggered fermions enable us to use the moving-wall source technique on large lattice spatial dimensions (L=64L=64) and small light u/du/d quarks. Numerical computations are carried out at two lattice spacings, a≈0.12a \approx 0.12 and 0.090.09 fm.

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