Flynn, Jonathan M. and Nieves, Juan
Elastic s-wave B pi, D pi, D K and K pi scattering from lattice calculations of scalar form factors in semileptonic decays.
Physical Review D, 75, (7), . (doi:10.1103/PhysRevD.75.074024).
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We show how theoretical, principally lattice calculations of the scalar form factors in semileptonic pseudoscalar-to-pseudoscalar decays can be used to extract information about the corresponding elastic s-wave scattering channels. We find values for the scattering lengths mpia=0.179(17)(14), 0.26(26) and 0.29(4) for elastic s-wave isospin-1/2 Kpi, Bpi and Dpi channels, respectively. We also determine phase shifts. For the DK channel we find hints that there is a bound state which can be identified with the recently discovered Ds0+(2317).
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