I=2 $\pi$-$\pi$ scattering length with dynamical overlap fermion

Abstract

We report on a lattice QCD calculation of the I=2 $\pi \pi$ scattering length using the overlap fermion formulation for both sea and valence quarks. We investigate the consistency of the lattice data with the prediction of the next-to-next-to-leading order chiral perturbation theory after correcting finite volume effects. The calculation is performed on gauge ensembles of two-flavor QCD generated by the JLQCD collaboration on a $16^3\times 32$ lattice at a lattice spacing $\sim$ 0.12 fm.

25 pages, 7 figures

Cited by in corpus (5)

• FLAG Review 2019
• Regge analysis of the pi pi scattering amplitude
• Hadron-Hadron Interactions from $N_f=2+1+1$ Lattice QCD: isospin-2 $\pi \pi$ scattering length
• Chiral effective theory with a light scalar and lattice QCD
• On the Determination of Elastic and Inelastic Nuclear Observables from Lattice QCD