Preliminary study of the Open image in new window scattering length from lattice QCD
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The s-wave kaon–antikaon ( Open image in new window ) scattering length is studied by lattice QCD using pion masses m π =330–466 MeV. Through wall sources without gauge fixing, we calculate Open image in new window four-point functions in the I=1 channel with the “Asqtad”-improved staggered fermion formulation, and observe an attractive signal, which is consistent with pioneering lattice studies on Open image in new window potential. Extrapolating the Open image in new window scattering length to the physical point, we obtain Open image in new window , where the first error is statistical and the second is systematic. These simulations are conducted with MILC gauge configurations at lattice spacing a≈0.15 fm.
KeywordsStrange Quark Chiral Perturbation Theory Kaon Mass Isospin Limit Vacuum Diagram
This work is supported in part by Fundamental Research Funds for the Central Universities (2010SCU23002). We thank the MILC Collaboration for using their lattice ensemble. We should thank Eulogio Oset for encouraging and constructive comments, and Zhi-Hui Guo and Hou Qing for their kind help. The computations for this work were done at AMAX, CENTOS and HP workstations in the Institute of Nuclear Science & Technology, Sichuan University.
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