The elastic I = 1/2, s- and p-wave kaon-pion scattering amplitudes are calculated using a single ensemble of anisotropic lattice QCD gauge field configurations with Nf = 2+1 flavors of dynamical Wilson-clover fermions at mπ = 230MeV. A large spatial extent of L = 3.7fm enables a good energy resolution while partial wave mixing due to the reduced symmetries of the finite volume is treated explicitly. The p-wave amplitude is well described by a Breit–Wigner shape with parameters mK⁎/mπ = 3.808(18) and gBWK⁎Kπ = 5.33(20) which are insensitive to the inclusion of d-wave mixing and variation of the s-wave parametrization. An effective range description of the near-threshold s-wave amplitude yields mπα0 = –0.353(25).
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Funded by SCOAP3.
This work was supported by the U.S. National Science Foundation under award PHY-1613449. Computing resources were provided by the Extreme Science and Engineering Discovery Environment (XSEDE) under grant number TG-MCA07S017. XSEDE is supported by National Science Foundation grant number ACI-1548562.
Brett, Ruairí; Bulava, John; Fallica, Jacob; Hanlon, Andrew; Hörz, Ben; and Morningstar, Colin, "Determination of s- and p-wave I = 1/2 Kπ Scattering Amplitudes in Nf = 2 + 1 Lattice QCD" (2018). Physics and Astronomy Faculty Publications. 602.