Köln 2004 – scientific programme

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HK: Physik der Hadronen und Kerne

HK 26: Theory IV

HK 26.5: Talk

Wednesday, March 10, 2004, 12:00–12:15, D

I=2 pion scattering length with chirally improved fermions — •Dieter Hierl, Christof Gattringer, Rainer Pullirsch, and Andreas Schäfer — Institut für theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany

We report on a lattice calculation of the pion scattering length in the I=2 channel using the chirally improved lattice Dirac operator. The scattering length is extracted by using the standard finite volume technique of Lüscher. We find that the most difficult part is to minimize the errors for the 4-pion-correlators. We work with pion masses down to 310 MeV in the quenched approximation. The scattering lengths we obtained are extrapolated to the chiral limit. We find a good agreement with experimental data.