I=2 pion scattering length with the parametrized fixed point action

Abstract

arXiv:hep-lat/0309075v1 15 Sep 2003I=2 pion scattering length with the parametrized fixed point action.We report on the ππ scattering length in the I = 2 channel using the parametrized fixed point (p-FP) action. Pion masses of 320 MeV were reached in this quenched calculation of the scattering length.

I=2ππscattering from fully-dynamical mixed-action lattice QCD

“…A weighted fit of Eq. (18) to the results of the lattice calculation gives: l 3:3 0:6 0:2, consistent with the fit to m a 2 . The gray band in Fig.…”

“…The gray band corresponds to a fit to our three data points (weighted by statistical errors) using the one-loop -PT formula in Eq. (18).…”

“…A number of lattice QCD calculations of scattering in the I 2 channel have been performed previously using Lüscher's method. For obvious reasons, calculations were initially performed in quenched QCD [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] but in a recent tour-de-force study, the CP-PACS Collaboration exploited the finite-volume strategy to study I 2, s-wave scattering in fullydynamical lattice QCD with two flavors of improved Wilson fermions [22], with pion masses in the range m ' 0:5-1:1 GeV.…”

Pion scattering on the lattice with chirally improved fermions

“…While the pion mass can be extracted quite accurately from (2), a direct determination of the scattering state energy W from a fit to (3) is unsatisfactory. A successful method [5] to reduce the statistical noise is to consider the ratio…”

Reliable Two-Dimensional Carrier Profiling by Scanning Spreading Resistance Microscopy on InP-Based Devices with Fast Quantification Procedure

“…This extension is necessary, since our scaling test in [1] referred to a small L = 1.2 fm spatial size lattice with low statistics, while our large L = 2.4 fm lattice results with good statistics could be compared with other simulations only. The new data have been used already in a scaling test on the I = 2, ππ scattering length [6]. No cut-off effects were seen there, but it is difficult to measure the scattering length precisely.…”